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Question 721047: translate a phrase into an mathematical expression then simplify
nine times a number minus three times the same number

Answer by MathTherapy(10806)

(Show Source):

You can put this solution on YOUR website!

translate a phrase into an mathematical expression then simplify

nine times a number minus three times the same number

That person is RIDICULOUSLY WRONG!!

Let number be N
Then expression becomes: 9N - 3N = 6N, NOT 9x - 3*3 (x being the number), as the other person states.

Question 1206216: The formula h=-16t^2 + v0t +s0 give sthe hieght of an object tossed upward where v0 represents the initial velocity, s0 represents the initial height, and t represents time. A golf ball is his straight up from the ground level with an initial velocity of 72 ft/sec.

Found 2 solutions by johnsss, ikleyn:
Answer by johnsss(2)   (Show Source):
You can put this solution on YOUR website!
To solve the problem using the equation.
Source: https://mipromedio.co/blog/como-calcular-promedio-universitario/
ℎ
=
−
16
𝑡
2
+
𝑣
0
𝑡
+
𝑠
0
h=−16t
2
+v
0

t+s
0

, let's break it down:
Given:
𝑣
0
=
72
v
0

=72 ft/sec (initial velocity)
𝑠
0
=
0
s
0

=0 (since the ball is hit from ground level)
The equation becomes
ℎ
=
−
16
𝑡
2
+
72
𝑡
h=−16t
2
+72t
This formula describes the height of the golf ball at any given time
𝑡
t. If you need to find specific values, like the maximum height or when the ball hits the ground, you'd follow these steps:
Maximum Height: The maximum height occurs at the vertex of the parabola, which can be found by the formula
𝑡
max
=
−
𝑣
0
2
𝑎
t
max

=−
2a
v
0

. For this equation,
𝑎
=
−
16
a=−16 and
𝑣
0
=
72
v
0

=72, so:
𝑡
max
=
−
72
2
(
−
16
)
=
72
32
=
2.25

seconds
t
max

=
2(−16)
−72

=
32
72

=2.25seconds
Then substitute this into the equation to find the height at this time:
ℎ
=
−
16
(
2.25
)
2
+
72
(
2.25
)
=
−
16
(
5.0625
)
+
162
=
−
81
+
162
=
81

ft
h=−16(2.25)
2
+72(2.25)=−16(5.0625)+162=−81+162=81ft
So, the maximum height is 81 feet.
Time to hit the ground: The ball will hit the ground when
ℎ
=
0
h=0. Set the height equation equal to zero and solve for
𝑡
t:
0
=
−
16
𝑡
2
+
72
𝑡
0=−16t
2
+72t
Factor:
0
=
𝑡
(
−
16
𝑡
+
72
)
0=t(−16t+72)
So,
𝑡
=
0
t=0 (at launch) or
𝑡
=
72
16
=
4.5

seconds
t=
16
72

=4.5seconds.

Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
The formula h=-16t^2 + v0t +s0 give the height of an object tossed upward where v0 represents
the initial velocity, s0 represents the initial height, and t represents time.
A golf ball is his straight up from the ground level with an initial velocity of 72 ft/sec.
~~~~~~~~~~~~~~~~~~~~~~~~

You forgot to attach your question at the end of your post.

My warm parting words to you are "read what you post before you submit your message".

Be accurate, respect the tutors and respect yourself.

Question 1209628: Please help me answer this question
The cost of petrol rises by 2cents a litre.
Last week a man bought 20 litres at the old price
This week he bought 10 litres at the new price
All together it costed $9.20
What was the old price for 1 litre
Let x be the old price
Solution
I tried saying 20 times x plus 10 times x plus two is equal to 920cents
Then I got 20x plus 10x plus 20 is equal to 920 cents
Then I said 10x plus 20x is equal to 30x = 920 cents minus 20
Then I sais 30x + 900 divided by 30
I then got the answer x = 0,30 cents

Found 2 solutions by johnsss, ikleyn:
Answer by johnsss(2)   (Show Source):
You can put this solution on YOUR website!
To solve the problem about the price of petrol, we can use a weighted average approach (similar to the concept of nota ponderada, or "weighted average"). Here's the step-by-step solution:
Source: https://mipromedio.co/blog/como-calcular-promedio-universitario/
Let x be the old price per litre in cents.
The new price per litre is x + 2 cents.
The man bought 20 litres at the old price and 10 litres at the new price, with a total cost of 920 cents.
We can set up the equation:
20
𝑥
+
10
(
𝑥
+
2
)
=
920
20x+10(x+2)=920
Simplify the equation:
20
𝑥
+
10
𝑥
+
20
=
920
20x+10x+20=920
30
𝑥
+
20
=
920
30x+20=920
Subtract 20 from both sides:
30
𝑥
=
900
30x=900
Solve for x:
𝑥
=
900
30
=
30
cents
x=
30
900

=30 cents
So, the old price per litre was 30 cents.
This approach uses the concept of a weighted average because we are calculating the total cost by weighting the quantities (20 litres at the old price and 10 litres at the new price).
Source: https://mipromedio.co/blog/como-calcular-promedio-universitario/

Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
Please help me answer this question
The cost of petrol rises by 2cents a litre.
Last week a man bought 20 litres at the old price
This week he bought 10 litres at the new price
All together it costed $9.20
What was the old price for 1 litre
Let x be the old price
Solution
I tried saying 20 times x plus 10 times x plus two is equal to 920cents
Then I got 20x plus 10x plus 20 is equal to 920 cents
Then I said 10x plus 20x is equal to 30x = 920 cents minus 20
Then I sais 30x + 900 divided by 30
I then got the answer x = 0,30 cents
~~~~~~~~~~~~~~~~~~~~~~~~~

Let x be the old price per liter (x dollars per liter). Then the new price is (x + 0.02) dollars per liter. Write an equation as you read the problem 20x + 10*(x+0.02) = 9.20 dollars. Simplify and find x 20x + 10x + 0.20 = 9.20 30x = 9.20 - 0.20 30x = 9.00 x = 9.00/30 x = 0.30 ANSWER. The old price was 0.30 dollars per liter.

Solved.

///////////////////////////////////

The other person uses practically the same method of creating system of equations,
as people do it for centuries, but introduces his own name for it as "weighted average approach".

As far as I know, nobody and nowhere uses this term in solving/treating such problems when teaching.

In addition, this terminology "weighted average approach" is factually incorrect/irrelevant,
since in this consideration, there is no weighted average, at all: there is weighted sum, instead.

So, I do not see any reason for a reader to learn from this author,
stumbling over unnecessary and incorrect terminology that the author introduces without any need.

I'd advise to a reader to avoid such tutors and/or teachers, who earn their popularity
by introducing their own terms for well known methods and conceptions,
and then sell it as their innovations. It is a form of deceiving readers.

In addition, he uses unreadable format - to convince a reader that he is so much original ?

Web-site, which this person gives for contacts, does not work.

In short, total and fatal absurd.

Question 1208401:
Found 2 solutions by timofer, josgarithmetic:
Answer by timofer(155)   (Show Source):
You can put this solution on YOUR website!

Answer by josgarithmetic(39792)   (Show Source):
You can put this solution on YOUR website!

Question 1208387: × represent a certain number when the number is multiplied by 3 the result is the same as that of adding 34 to the number find ×
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
× represent a certain number when the number is multiplied by 3
the result is the same as that of adding 34 to the number find ×
~~~~~~~~~~~~~~~~~~~~~~~~~

Instead of ×, I will use a standard in Math designation x for the unknown number. Then the wording description is equivalent to this equation 3x = x + 34. To solve it, subtract x from both sides and get 2x = 34. Divide both sides by 2 and get the ANSWER. x = 17.

Solved, with explanations.

Question 25891: I have the problem listed below:
A bathroom tub will fill up in 15 minutes with both faucets open and the stopper in place. with both faucets closed and the stopper removed the tub will empty in 20 minutes, How long will it take for the tub to fill if both faucets are open and the stopper is removed.
I am really kind of unsure of where to start with this. I assigned variables for the various segments, but after that i am drawing a blank. Thank you!
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place.
With both faucets closed and the stopper removed, the tub will empty in 20 minutes.
How long will it take for the tub to fill if both faucets are open and the stopper is removed?
~~~~~~~~~~~~~~~~~~

        The solution by other tutor is incorrect.
        I came to bring a correct solution.

In this problem, there are two opposite processes. One process is filling with the rate of of the volume per minute (two faucets combined). Another process is draining with the rate of the volume per minute. So, when both facets are open and the stopper is removed, the net filling rate is the difference - = - = of the volume per minute. It means that the filling process will take 60 minutes, or 1 hour. ANSWER

Thus, the problem is just solved (mentally).

If you want to write an equation, you should formalize this reasoning.

Let "t" be the time to fill, in minutes. Then in t minutes, the two facets will fill part of the volume, while through the stopper hole, the part of the volume will be removed. The volume will be fully filled when - = 1 (the whole volume). Write with common denominator and find t - = 1, = 1, t = 60*1 = 60 minutes. ANSWER. The required time is 60 minutes, or 1 hour.

Solved using equation.

Question 1207786: Translate the following statement into a mathematical expression:The total cost C of manufacturing x bicycles in one day is $50,000 plus $95 times the number of bicycles manufactured.

Let me see.

C = 95x + 50,000

Is this right?

Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

It is correct.

Also, it would be good to add the word "dollars" at the end, as the name of the unit.

Question 1207002: Raina is saving money to buy a bike that $125 costs . She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?
Answer by math_tutor2020(3835)   (Show Source):
You can put this solution on YOUR website!

w = number of weeks
5w = additional amount saved at $5 per week
5w+60 = total amount after adding the initial $60
5w+60 = 125
5w+60-60 = 125-60
5w = 65
5w/5 = 65/5
w = 13 weeks is the final answer

Question 1206653: gavin spent 3/5 of his money on the first week and 1/3 of the remainder on the second week. he spent $110 dollars altogether. how much money did he have left?
Found 3 solutions by josgarithmetic, math_tutor2020, MathLover1:
Answer by josgarithmetic(39792)   (Show Source):
You can put this solution on YOUR website!
first week start, M
spent
still has

second week start,
spent
spent

Amount spent,

-----------What had before any spending

, what he had remaining after the two spendings

Answer by math_tutor2020(3835)   (Show Source):
You can put this solution on YOUR website!

Draw 5 rectangles placed side by side.
Shade 3 of them to represent Gavin spending 3/5 of his initial money.
Refer to figure 1 shown below.
The remaining 2/5 is what he has leftover (before spending the next round of money).

Then draw in 2 horizontal lines to divide those 5 blocks into 3*5 = 15 blocks. Shade the top row, of the 3 rows, to represent Gavin spending 1/3 of what he has left.
Refer to figure 2.

How many small blocks are shaded?
There's 3 full columns shaded in the first round.
Each column has 3 small blocks so that's 3*3 = 9 small blocks so far.
Then we have 2 more small blocks when Gavin moves to the next round of spending.
There are 9+2 = 11 small blocks shaded out of 15 total.

That means Gavin spent 11/15 of his initial money.
Another way to reach this fraction is to compute 3/5 + (1/3)*(2/5)

x = how much money he starts with
(11/15)*x = 110 = how much money in total is spent
x = 110*(15/11)
x = 150
Gavin started with $150 and spent $110.
He has $40 left since 150-110 = 40.

Alternative route:
He spent 11/15 of his money and saves the remaining 4/15
(4/15)*150 = 40

Answer: $40

Answer by MathLover1(20855)   (Show Source):
You can put this solution on YOUR website!

gavin spent of his money (total amount is ) on the first week

is the remainder
and of the remainder on the second week

he spent $ dollars altogether

total amount is $
first week he spent:
second week he spent:
how much money did he have left:
$

Question 1206174: HI
An egg tart costs $1.60. Each person is entitled to buy another 2 egg tarts at $1.30 each after buying 3 egg tarts. Find the maximum you can buy with $24.00 and how much money would be left over.
Thanks
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

        The solution in the post by @mananth is inconsistent with the problem
        and therefore is incorrect and irrelevant.

        I came to bring a correct solution.

In accordance with the problem's logic, you should combine 3 egg tarts at $1.60 with 2 egg tarts at $1.30 and do it as many times until the restriction of $24.00 allows you do it. Each such elementary group costs 3*1.60 + 2*1.30 = 7.40 dollars. Next you divide 24 by 7.40 and round it to have integer quotient. Obviously, this integer quotient is 3; so, you may have 3 elementary groups that cost 7.40*3 = 22.20 dollars, leaving 24.00 - 22.20 = 1.80 dollars. For this $1.80, you can buy one egg tart at $1.60. So, at the end, you will have maximum (3*(3+2) + 1) = 3*5+1 = 16 egg tarts and $0.20 remain in your pocket.

Solved.

Actually, it is quite primitive task/problem/assignment.
The solution is straightforward and does not require "mind game".

Any house-wife can solve it mentally, based on common sense,
even without having any mathematical education.

One similar problem was solved for you today by Edwin.

Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website!
An egg tart costs $1.60. Each person is entitled to buy another 2 egg tarts at $1.30 each after buying 3 egg tarts. Find the maximum you can buy with $24.00 and how much money would be left over.
Let m be the number of sets of 3 tarts
Let n be the number of sets of 2 tarts
one set -3tarts will cost 4.80
1one set -2 tarts will cost 2.60
4.80m +2.60 n <=24
You can maximise the number of tarts by buying maximum sets of three.
lets try 4 sets of m and 2 sets of n
4.80*4+2.60*2
19.20 +5.20 >24 so not possible
lets try 4 sets of m and 1 set of n
19.20 +2.60 = 21.80 possible
3*4+1*2= 14 tarts for 21.80 <24

24-21.80
balance $2.20

Question 1205954: In a triangle, the shortest side is 3 meters less than the longest side. The length of the third side is 11 meters less than twice the length of the longest side. If the perimeter is 22 meters, find the lengths of the three sides of the triangle.
Found 3 solutions by Edwin McCravy, MathLover1, josgarithmetic:
Answer by Edwin McCravy(20077)   (Show Source):
You can put this solution on YOUR website!

In a triangle, the shortest side is 3 meters less than the longest side. (a) The length of the third (medium) side is 11 meters less than twice the length of the longest side. (b) If the perimeter is 22 meters, (c) Substitute (a) and (b) in (c) Substitute in (a) Substitute in (b) Edwin

Answer by MathLover1(20855)   (Show Source):
You can put this solution on YOUR website!

let the shortest side be , the longest side , and the third side
if the shortest side is meters less than the longest side we have
....eq.1

if the length of the third side is meters less than the length of the longest side, we have
....eq.2

If the perimeter is meters, we have
....eq.3

substitute and
....eq.3, solve for

go to
....eq.1, substitute

go to
....eq.2, substitute

the lengths of the three sides of the triangle are: , , and

Answer by josgarithmetic(39792)   (Show Source):
You can put this solution on YOUR website!

SHORT g-3 LONG g THIRD 2g-11 PERIMETER 22

The sides length are then
Short, 6
Long, 9
the third side, 7.

Question 1205899: The sum of two numbers is twenty-six. Four less than five times the smaller is equal to the larger.

Found 3 solutions by ikleyn, josgarithmetic, Theo:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

The answer " 21 and 25 " in the post by @josgarithmetic is INCORRECT.

The correct answer is " the numbers are 5 and 21 " from the post by @Theo.

----------------

@josgarithmetic just fixed his error after seeing my post.

Answer by josgarithmetic(39792)   (Show Source):
You can put this solution on YOUR website!
Sum of the two, 26.
Numbers n and 26-n.

Second sentence of description:

-

The two numbers are 21 and 5.

Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
let A be the largest number and let B be the smallest number.
you have two equations that need to be solved simultaneously.
they are:
A + B = 26
A = 5B - 4
in the first equation, replace A with 5B - 4 from the second equation to get 5B - 4 + B = 26
combine like terms to get 6B - 4 = 26
add 4 to both sides of the equation to get 6B = 30
solve for B to get B = 30/6 = 5.
A + B = 26 becomes A + 5 = 26
solve for A to get A = 21.
your solution is that the larger number is 21 and the smaller number is 5.

Question 1205792: One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 25 L that is 9% orange juice?

Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13327)   (Show Source):
You can put this solution on YOUR website!

Oh, dear ...!

There is that tutor who loves that monstrous magical formula with a multitude of variables for solving mixture problems like this....

If you are a fan of "doing" mathematics by plugging numbers into formulas without having any understanding of what you are doing, go ahead and solve the problem that way.

If you want to UNDERSTAND what you are doing to solve the problem, there are better ways.

The standard algebraic solution method is to write and solve an equation that says the amount of orange juice in the mixture is the sum of the amounts in the two ingredients. For this problem, that equation says that 30% of the first ingredient plus 5% of the second yields 25L of mixture that is 9% orange juice.

Letting x be the number of gallons of 30% orange juice means the number of gallons of 5% orange juice is 25-x. Then the equation is

I leave it to the student to finish the solution by that method. It involves basic algebra, although the decimals complicate things a bit.

And here is an informal method for solving any two-part mixture problem like this.

For this problem, we are mixing 30% orange juice with 5% orange juice to get 9% orange juice.

Observe/calculate that 9% is 4/25 of the way from 5% to 30%. (Use the numbers 5, 9, and 30 on a number line if it helps.)
That means 4/25 of the mixture is the 30% orange juice.
4/25 of 25L is 4L.

ANSWER: You need 4L of the 30% orange juice and 25-4 = 21L of the 5% orange juice

CHECK:
.30(4)+.05(21) = 1.20+1.05 = 2.25
.09(25) = 2.25

Answer by josgarithmetic(39792)   (Show Source):
You can put this solution on YOUR website!
----------------------------------------------
One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 25 L that is 9% orange juice?
----------------------------------------------

Every two-part mixture of this type works the SAME way.

=======================================================================
One canned juice drink is H% orange juice; another is L% orange juice. How many liters of each should be mixed together in order to get M liters that is T% orange juice?
========================================================================

v, the volume of the H% orange juice drink
M-v, the volume of the L% orange juice drink

-

Substitute what you are given, and evaluate.

Question 1205678: Melissa wants to rent a boat and spend at most $59 . The boat costs $6 per hour, and Melissa has a discount coupon for $7 off. What are the possible numbers of hours Melissa could rent the boat?

Answer by MathLover1(20855)   (Show Source):
You can put this solution on YOUR website!

.
let the numbers of hours be
if he boat costs $ per hour, total cost will be
if Melissa has a discount coupon for $ off, total cost will be
if Melissa wants to rent a boat and spend at most $, then
.....solve for

the possible numbers of hours Melissa could rent the boat: up to hours

Question 1205653: In country A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,630 , find the number manufactured in country B and the number manufactured in country A.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
In country A, about five times as many cars are manufactured per day as in country B.
If the total number of these cars manufactured per day is 39,630 , find the number
manufactured in country B and the number manufactured in country A.
~~~~~~~~~~~~~~~~~~~

        Look how I edited your post to make it right.

        It is a standard form of " as many . . . as ".

Answer by math_tutor2020(3835)   (Show Source):
You can put this solution on YOUR website!

x = number of cars manufactured in country B
5x = number of cars manufactured in country A

A+B = 39630
5x+x = 39630
6x = 39630

I'll let the student finish up.

Question 1205563: Three chickens were weighed in pairs. The first pair weighed in at 10.6 kilograms, the second pair weighted 8.1 kg, and the third pair weighed 6.1 kg. How much do they weigh all together and how much does each chicken weigh.
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3835)   (Show Source):
You can put this solution on YOUR website!

x,y,z = weight of the 3 chickens
The order doesn't really matter.

Add the weights pairwise
x+y = 10.6
y+z = 8.1
x+z = 6.1

Add straight down as the other tutor mentions to get
2x+2y+2z = 24.8
Divide everything by 2 to get
x+y+z = 12.4
Telling us that all three chickens combine to 12.4 kg

Since x+y+z = 12.4 and x+y = 10.6, we can replace the x+y block with 10.6 to isolate z
x+y+z = 12.4
10.6+z = 12.4
z = 12.4-10.6
z = 1.8 is one of the individual weights.

Once we know z = 1.8, we can plug it into y+z = 8.1 and x+z = 6.1 to find y = 6.3 and x = 4.3 respectively. I'll leave the scratch work for the student to do.

Another way to find x is to use a similar trick that we did to isolate z.
Since x+y+z = 12.4 and y+z = 8.1 we can then say:
x+y+z = 12.4
x+8.1 = 12.4
x = 12.4-8.1
x = 4.3

Once you know 2 of the chicken's individual weights, you can plug them into x+y+z = 12.4 to find the missing variable.
As you can see, there's a few pathways you could take. Feel free to explore your favorite.

-------------------------------------------------------------

Answers:
Total weight = 12.4 kg
Individual weights = 4.3 kg and 6.3 kg and 1.8 kg

Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
Three chickens were weighed in pairs. The first pair weighed in at 10.6 kilograms,
the second pair weighted 8.1 kg, and the third pair weighed 6.1 kg.
How much do they weigh all together and how much does each chicken weigh.
~~~~~~~~~~~~~~~~~~~

Let the weights be x, y, and z for the 1st, 2nd and 3rd chick, respectively. Then we have these equations x + y = 10.6 (1) x + z = 8.1 (2) y + z = 6.1 (3) To solve, add all three equations. You will get 2x + 2y + 2z = 10.6 + 8.1 + 6.1 = 24.8 hence x + y + z = 24.8/2 = 12.4. (4) Thus, all the chicken weight 12.4 kg combined. To find the weight of the 1st chick, subtract equation (3) from equation (4). You will get x = 12.4 - 6.1 = 6.3. To find the weight of the 2nd chick, subtract equation (2) from equation (4). You will get y = 12.4 - 8.1 = 4.3. To find the weight of the 3rd chick, subtract equation (1) from equation (4). You will get z = 12.4 - 10.6 = 1.8. ANSWER. The weight of the 1st chick is 6.3 kg; 2nd chick 4.3 kg; 3rd chick 1.8 kg. The combined weight of the three chicken is 12.4 kg.

Solved.

Question 1204868: Novolog 70/30 Insulin (U-100) -
Inject 30 units SC bid #1 vial (30 days)
What is the total quantity of units and vials needed for this therapy? Please show work
Answer by KMST(5345)   (Show Source):
You can put this solution on YOUR website!
Information needed:
U-100 insulin contains 100 units of insulin per 1 cc
A vial of insulin contains 10cc
bid means twice a day
Show your work means that you should show the reasoning for the answer the way the teacher expects its, and presumably showed in class, but I was not in your class.

Showing my way:
(30units/injection)x(2injections/day)x(30days)=30x2x30=
(100units/1cc)x(10cc/vial)=1000units/vial, so 1 vial is not enough because

How many vials are needed?
As a math problem,
you could divide by to get
and then round up to
(2vials)x(1000units/vial)=2000units, and
are needed because 1 vial is not enough.

Question 1205322: The Product of 2 and Donnie's height is 32

Found 3 solutions by ikleyn, MathLover1, josgarithmetic:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

In this problem, we don't know, what the question is.

Therefore, it is unclear, if the answers and the solutions of other tutors are relevant.

May be, the visitor was going to ask about the distance between the Earth and the moon.

Answer by MathLover1(20855)   (Show Source):
You can put this solution on YOUR website!

let Donnie's height be
if the product of and Donnie's height is , we have

Donnie's height is

Answer by josgarithmetic(39792)   (Show Source):
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Too obvious. What trouble do you have with this exactly?

16

Question 1205067: Jessie takes two uber rides. The first ride cost $32 to go 15km. The second ride cost $55 to go 112km.
What is the rate that she is being charged?
Thank you
Answer by ikleyn(53748)   (Show Source):
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.
Jessie takes two uber rides. The first ride cost $32 to go 15km. The second ride cost $55 to go 112km.
What is the rate that she is being charged?
Thank you
~~~~~~~~~~~~~~~~~~~~

The difference in distances is 112-15 km = 97 km. The difference in the cost is 55-32 = 23 dollars. The rate of charging is the ratio = 4.217391 kilometers per dollar with 6 decimal places. Or, if you prefer the rate of charging in dollars per kilometer, then take the reciprocal value = 0.237113 dollars per kilometer.

Solved.

Notice that I do not round the rate to two decimals: I keep it with more than two decimals.
There is NO NEED to round the rate to two decimals - because the rate of charging IS NOT the cost.

But when the counter in the uber car will show the cost of the ride,
it will calculate the cost rounded to two decimals of a dollar (to the cents).

Question 1205068: A city taxi charges $2.50/km. A 6km ride costs $22.
Write the equation that represents the cost, C of a taxi ride compared to the distance driven, d.
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

C(d) = (22-6*2.50) + 2.50*d = (22-15) + 2.50*d = 7 + 2.50 *d dollars. Here 22-6*50 = 22-15 = 7 dollars is the constant part of the cost. Sometime, they call it "the cost to turn on the counter". 2.50*d is the variable part of the cost. ANSWER. The cost function is C(d) = 7 + 2.50 *d dollars, where d is the travel distance.

Solved.

Question 1204847: Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. What is the day supply (20gtts/mL)…. Show work please

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.
Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. What is the day supply (20gtts/mL)…. Show work please
~~~~~~~~~~~~~~~~~~~~~~~~

        The question is worded BOTH terribly and incorrectly.
        A correct formulation is this " For how many days this supply will last ? "
        I will solve the problem in this modified formulation.

1 drop = milliliters, or 1 milliliter = 20 drops (as given in the problem and is consistent with the standard conversion factor). So, 10 mL in the bottle are equivalent to 10*20 = 200 drops. Thus, your supply in the bottle is 200 drops. Every time you use 1 + 1 = 2 drops for (1+1) = 2 two/both your eyes. So, you can treat your eyes 200 : 2 = 100 times. Each treatment covers 8 hours. 100 treatments will cover 8*100 = 800 hours. One day in this context is 24 hours. So, the number of days is = 33 . Thus, one bottle supply is enough for full 33 days. At the end of the 33-th day, you will make the last treatment, and its action will continue (will last) first 8 hours on the day 34.

Solved.

-------------------

This solution, which you see in my post, teaches you to think logically, to make calculations accurately,
to use right words and to connect them in proper order to form right readable sentences.

Answer by josgarithmetic(39792)   (Show Source):
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You mean asking, what number of days will the 10 ml. bottle be?
How many ml. is 1 drop? 20 drops per milliliter?

The volume used is ~~this part removed~~.

Expecting 20 drops to be 1 ml.
The bottle volume of 10 ml. is .

How many days is that 10 ml. or 200 drops of Tobramycin?

Question 1204842: A pediatric patient weighs 15mg.____mg is an appropriate dose for the patient if the normal adult dose is 500mg…… please show work
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(53748)   (Show Source):
You can put this solution on YOUR website!
.

"A pediatric patient weighs 15mg.".

        Wake up.

Answer by mananth(16949)   (Show Source):
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Please repost correctly.
To me it does not make sense

Question 1204843: Prepare 30% alcohol with a total volume of 100ml. How many mL of 90% alcohol should you add to 10% alcohol to make your final product of 30%? Please show work
Found 3 solutions by josgarithmetic, greenestamps, mananth:
Answer by josgarithmetic(39792)   (Show Source):
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WHICH QTY VOLUME PURE 90% v 0.9v 10% 100-v 0.1(100-v) 30%(mixture) 100 0.3*100

Answer by greenestamps(13327)   (Show Source):
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The response from the other tutor shows a typical solution using the standard formal algebraic method.

If formal algebra is not required, there is an easy informal method for solving any 2-part mixture problem like this.

The desired percentage of 30 is 1/4 of the way from 10 to 90. (from 10 to 90 is a difference of 80; from 10 to 30 is a difference of 20; 20/80 = 1/4.)

That means 1/4 of the mixture is the 90% alcohol.

1/4 of 100ml is 25 ml.

ANSWER: The mixture should be 25ml of the 90% alcohol and 75ml of the 10% alcohol.

Answer by mananth(16949)   (Show Source):
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Prepare 30% alcohol with a total volume of 100ml. How many mL of 90% alcohol should you add to 10% alcohol to make your final product of 30%? Please show work
Two strengths of alcohol are there ,90% and 10%
You want to prepare 100 ml of 30% alcohol
Let x ml of 90% alcohol be added to prepare the 30% alcohol
10% alcohol will be (100-x)
90%x + 10%(100-x) = 100* 30%
=> 0.9x+0.1(100-x)= 100*0.3
=>0.9x+10-0.1x = 30
=> 0.8x+10=30
=> 0.8x =20
=> x= 25ml (90% alcohol)
75 ml of 10% alcohol are required

Question 1204845: A pediatric patient weighs 15kg.____mg is an appropriate dose for the patient if the normal adult dose is 500mg…… please show work
Answer by greenestamps(13327)   (Show Source):
You can put this solution on YOUR website!

Not enough information....

For one thing, we don't know the weight of a "normal" adult.

And there is nothing in the statement of the problem that says the dosage is proportional to the weight.

Re-post, giving enough information to make an answer possible.

Question 1204846: What is the total quantity of tablets and days needed for this therapy?
Prednisone 10mg tablets #QS…. Please show work.
Tk=take, PO= by mouth, qd= Every day, d= day
Tk 60mg po qd times 2d
Tk 50mg po qd times 2d
Tk 40mg po qd times 1d
Tk 30mg po qd times 5d
Tk 20mg po qd times 3d
Tk 10mg po qd times 4d
Answer by greenestamps(13327)   (Show Source):
You can put this solution on YOUR website!

Your post shows that you are most interested in making the post as short as possible by using abbreviations instead of writing things out. The opposite should be true; if you want help with your question, then you should take the time to present the problem clearly.

Your question asks for "quantity of tablets". Guessing at the meaning of the information as it is presented, and guessing that "quantity of tablets" means total number of tablets, it appears to me the answer is 2+2+1+5+3+4 = 17.

But I doubt that is what the problem is really asking....

Re-post the problem, presenting the information clearly, and making it clear what the question really is.

Do NOT respond by posting a thank-you note to me -- that won't make your question visible to other tutors.

Question 1204844: What is the total quantity of tablets and days needed for this therapy?
Prednisone 10mg tablets #QS…. Please show work.
Tk=take, PO= by mouth, qd= Every day, d= day
Tk 60mg po qd times 2d
Tk 50mg po qd times 2d
Tk 40mg po qd times 1d
Tk 30mg po qd times 5d
Tk 20mg po qd times 3d
Tk 10mg po qd times 4d

Answer by Edwin McCravy(20077)   (Show Source):
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Most of us are not familiar with nursing math and all the dosage formulas: Try this site: https://www.youtube.com/watch?v=hnzZKY8SGbE Edwin