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Question 572468: Nine times a number is 12 more than 5 times a number
Answer by Maths68(1160)

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Let x be the number
9x=5x+12
9x-5x=12
4x=12
4x/4=12/4
x=3
Number is 3

Question 572025: Please help! In the following, write an expression in terms of the given variables that represents the indicated quantity:
d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds. (Hint: The answer should contain q as well as n.)
e. The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.
f. Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.
g. The sum of three consecutive even whole numbers if the greatest is x.
Answer by htmentor(583)

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d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 30 seconds. (Hint: The answer should contain q as well as n.)
The time, n, is in minutues, so the amount triples every 1/2 min.
After the 1st 1/2 min., the amount
The expression will be of the form q(n) = q*3^(kn)
We need to find the coefficient, k:
After 1/2 min. the amount will be 3q, which means (1/2)k = 1 -> k = 2
So the equation is q(n)=q*3^(2n)
e. The temperature t hour ago if the present temperature is 40F and each hour it drops by 3F.
Let T(t) = the temperature t hours ago
If the temperature drops 3F every hour, and if the current temp. is 40, then:
the temp. 1 hr ago was 43, the temp. 2 hrs ago was 46, etc.
The equation that describes this is T(t) = 40 + 3t
f. Pawel’s total earnings after three years if the first year his salary was s dollars, the second year it was $5,000 higher, and the third year it was twice as much as the first year.
The total earnings will be s + s + 5000 + 2s = 4s + 5000
g. The sum of three consecutive even whole numbers if the greatest is x.
If the largest number is x, then the other two numbers are x-2 and x-4
So the sum = x + x-2 + x-4 = 3x-6

Question 571198: Monica has three times as many nickels as pennies and twice as many quarters as nickels. In all she has $3.25. How many coins of each type does she have?
Answer by ankor@dixie-net.com(12701)

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Let n = no. of nickels
Let p = no. of pennies
Let q = no. of quarters
:
Write an equation for each statement:
:
"Monica has three times as many nickels as pennies"
n = 3p
or divide both sides by 3
p = 1%2F3

n
:
" and twice as many quarters as nickels."
q = 2n
:
"In all she has $3.25."
.01p + .05n + .25q = 3.25
Replace p and q from the 1st two equations
.01 1%2F3

n + .05n + .25(2n) = 3.25
.01%2F3

n + .05n + .50n = 3.25
Multiply by 3 to get rid of the denominators, results:
.01n + .15n + 1.5n = 9.75
1.66n = 9.75
n = 5.87, solution has to be an integer, so there something wrong with this problem, a fatal error as they say

Question 570922: "On January 15, 1972 in Loma, Montana, the temperature rose from -54 degrees F to 49 degrees F over a 24 hour period. How many degrees did the temperature rise all together? Solve the problem by setting up an equation in which a negative number is subtracted."
I know the answer but I cannot agree how to set up the equation. I know it's not as simple as 54 + 49 and that I have to subtract a negative number, but isn't that the same as adding a positive anyway? My brain was never meant for algebra. I would really appreciate some help with putting this word prob into an equation. Thanks!
Answer by ankor@dixie-net.com(12701)

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You're right: 49 - (-54) would be 49 + 54

Question 570381: Louis collects comic books. He buys 3 comics a week for a year. Let "X" represent the value of weeks and write an equation that would calculate the number of weeks it has been in Louis has 48 comics.
I can't seem to think of any other way to write it except X*3=48 but that seems incorrect...
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(12126)   (Show Source):
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Let's see, using your theory, in 1 week he would have , in 2 weeks, , etc. seems perfectly reasonable to me. Why does it seem incorrect to you?

John

My calculator said it, I believe it, that settles it

Answer by stanbon(48558)   (Show Source):
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Louis collects comic books. He buys 3 comics a week for a year. Let "X" represent the value of weeks and write an equation that would calculate the number of weeks it has been in Louis has 48 comics.
-----
# of comics = 3x where x is # of weeks.
---
Solve:
48 = 3x
x = 16 (# of weeks)
Cheers,
Stan H.

Question 570075: About 46.2 billion pieces of unopened junk mail ends up in the ladfills each year. This is about 44% of all the junk mail that is sent annually. How many pieces of junk mail are sent anually. What is the formula for this word problem so confused my head hurts. thank you
Answer by stanbon(48558)   (Show Source):
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About 46.2 billion pieces of unopened junk mail ends up in the ladfills each year. This is about 44% of all the junk mail that is sent annually. How many pieces of junk mail are sent anually.
------
Let "x" be the total # of pieces sent.
----
Equation:
0.44x = 46.2 billion
----
x = 46.2 billion/0.44
-----------
x = 105 billion
======================
cheers,
Stan H.
============

Question 569379: Please help translate this sentence. Mr. Lath rom offered to pay Karen 4 times as much to rake leaves this year than he offered her last year. Karen receives $30 this year. How much did Mr. Lathrom pay last year?
Answer by Maths68(1160)   (Show Source):
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Let
Last year Karen received = x
This year Karen received = 4x
This year Karen received = $30
4x=30
4x/4=30/4
x=15/2
x=$7.5
Mr. Lothrom paid last year = $7.5

Question 569381: Please help translate this. Ian writes 4 pages in his report every night for 2 weeks. He must write a total of 65 pages.how many more must Ian write?
Found 2 solutions by solver91311, IWork4Dessert:
Answer by solver91311(12126)   (Show Source):
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It is either

or

Depending on whether he works the weekends or not.

John

My calculator said it, I believe it, that settles it

Answer by IWork4Dessert(57)   (Show Source):
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14 days in a week, 4 pages a day. 14x4=56. Subtract 56 from 65 to get 9. 9 more pages.
(noticed you've posted a lot of these)

Question 568671: The sum of three consecutive odd integers is 189. What are the integers?
1.
2.
3.
Answer by muffin8(4)   (Show Source):
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Lets call the first number x.
Then the next ODD number would be x+2.
The last would be x+4.
So x+(x+2)+(x+4)=189.
Combine all the x's and other numbers:
3x+6=189
solve for x:
(subtract 6 from both sides)---> 3x=183
(divide both sides by 3) ---> x=61
so the three numbers are 61, 63, 65.
check if it works:
61+63+65=189

Question 568495: I am unable to figure out how to set up this problem. "A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?"
Answer by richard1234(4802)   (Show Source):
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Pythagorean theorem

8^2 + x^2 = 17^2

x = 15

Or if you recall the 8-15-17 right triangle, the answer is 15 ft.

Question 567192: One more question from this crazy "practice test" for a job. again its been 17 years since HS algebra...Kids you will have to use algebra again...mark my words. :)
Question: Three individuals form a partnership and agree to divide the profits eqally. x invest 9000, Y invest 7000, and z invest 4000. If the profits are 4800 how much less does x receive than if the profits were divided in proportion to the amount invested?
(let me first say that x isn't the smartes investor...) What I have so far is
x+y+z=20000 9000/20000 = x/4800 so proportionaly x's investmet would yeild $2160. The second part would be figuring out what equal % so 1/3 = x/4800 that would be 1600 and then you just subtract 1600 from 2160 and that is $560. Did I do that correctly? any suggestions of more problems like these and the other one I did that I could practice on would be greatly appreciated.
Answer by stanbon(48558)   (Show Source):
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Question: Three individuals form a partnership and agree to divide the profits eqally. x invest 9000, Y invest 7000, and z invest 4000. If the profits are 4800 how much less does x receive than if the profits were divided in proportion to the amount invested?
----
They invested in a ratio of 9:7:4
---
Equation:
9x + 7x + 4x = 4800
20x = 4800
x = 240
----
Proportional Distribution:
9x would get 9*240
7x would get 7*240
4x would get 4*240
---
Equal distribution:
1600
1600
1600
---------------
You can figure out the difference for each of the individuals.
=================================
Cheers,
Stan H.

Question 567189: Ok its been 17 years since I took algebra and I have a test for a job interview and this was one of the questions. I got the correct answer but it took me a long time with pen to paper. I know there is a better way to write it.
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1800 word. Using smaller type, a page contains 2400 words. The article is alloted 21 full pages in a magazine. How many pages must be in smaller type?
I know I need to use x+y=21 and 1800x +2400y = 48000 but I am not sure how to relate the two.
Answer by stanbon(48558)   (Show Source):
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In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1800 word. Using smaller type, a page contains 2400 words. The article is alloted 21 full pages in a magazine. How many pages must be in smaller type?
I know I need to use x+y=21 and 1800x +2400y = 48000 but I am not sure how to relate the two.
----
Page Equation: x + y = 21
Words Equatiion: 1800x + 2400y = 48000
-------------------
Multiply thru the "Page" Eq. by 1800 to get:
1800x + 1800y = 21*1800
1800x + 2400y = 48000
----
Subtract and solve for "y":
600y = 10200
y = 17 (# of pages with 1800 words)
----
Solve for "x":
x + y = 21
x + 17 = 21
x = 4 (# of pages with 2400 words)
=======================================
cheers,
Stan H.
================

Question 566584: Four less than the product of seven and the square of a number. Translate this variable expression and simplify if possible.
Answer by rfer(10432)   (Show Source):
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=7x^2-4

Question 566586: A number plus the product of seven and that number minus five. Translate into a variable expression and simplify if possible.
Answer by rfer(10432)   (Show Source):
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x+7x-5
=8x-5

Question 566588: The difference in five times a number and eight times another number. Translate into a variable expression and simplify if possible.
Answer by Maths68(1160)   (Show Source):
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Let
x and y are two numbers
The difference in five times a number and eight times another number
Translation=5x-8y

Question 565451: Allison, Jess, and Bill went to the fair. They spent a total of $50 dollars on the rides. if Allison spent half as much as Bill and Jess spent $20 less than Bill, how much did each of them spend?
Answer by nyc_function(2645)   (Show Source):
You can put this solution on YOUR website!
Here is the equation you need:
(x/2) + x + (x - 20) = 50
Solving for x, I got 28.
To find how many each spent, plug x for every person and simplify.

Allison = (x/2)

Allison = (28/2) or $14.

Jill = (x - 20)

Jill = 28 - 20 or $8
Bill = x
Bill = $28.
Bill spent more than the rest. That's not fair!!

Here is the prove:
$14 + $8 + $28 = 50

Question 564704: five times the sum of the digits of a two digit number equals the number. if the digits are reversed, it becomes nine more than the original number. what is the original number?
Answer by lwsshak3(2927)   (Show Source):
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five times the sum of the digits of a two digit number equals the number. if the digits are reversed, it becomes nine more than the original number. what is the original number?
**
let u=units digit
let t=tens digit
..
original number: 10t+u
5(u+t)=10t+u
10u+t=9+10t+u
..
From first equation:
5u+5t=10t+u
4u=5t
u=5t/4
..
From second equation:
9u-9t=9
9(u-t)=9
u-t=1
5t/4-t=1
t/4=1
t=4
u=t+1=5
ans:
original number=45

Question 564075: What are each steps in solving -2=-(n-8)?
Answer by stanbon(48558)   (Show Source):
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What are each steps in solving -2=-(n-8)?
-----
Multiply both sides by -1 to get:
2 = n-8
---
Add 8 to both sides:
n = 10
==================
Cheers,
Stan H.
===================

Question 563872: English Phrase as an algeraic expression.
The quotient of nine and a number, increased by half of the number.
I think I have the first part correct, but i don't know how to do the increased by half of the number part.
Answer by Theo(2978)   (Show Source):
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let x = the number.
the quotient of nine and the number becomes 9/x.
increasing by half of the number becomes + x/2.
put them together to get:
9/x + x/2
here's a reference you might find helpful.
http://www.purplemath.com/modules/translat.htm

Question 563852: b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
Answer by richard1234(4802)   (Show Source):
You can put this solution on YOUR website!
You didn't provide "the result you found from part a." Repost question

Question 562961: THe area of the floor in Samantha's rectangular room is 120 square feet. The length of the room is eight feet less than twice the width. What are the dimensions of the floor?
Answer by mananth(10551)   (Show Source):
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let width be x
length = 2x-8
Artea = L*W
Area = x(2x-8)=120
2x^2-8x=120
/2
x^2-4x=60
x^2-4x-60=0
x^2-10x+6x-60=0
x(x-10)+6(x-10)=0
(x-10)(x+6)=0
x= 10 OR -6
ignore the negative value
width = 10 feet
length = 2x-8
2*10-8
20-8
=12
length = 12 feet

Question 562530: I need two equations and two variables.A rectangle is five times as long as it is wide. If it were 24cm shorter and 24 cm wider, it would be a square. What are the dimensions? help please!! :)
Found 2 solutions by issacodegard, solver91311:
Answer by issacodegard(60)   (Show Source):
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Hi, let L and W be the length and width of the rectangle, since this is what we need to find. We know the following,
L=5W
For the second piece of information, we think,
If the dimensions were L-24 and W+24, the rectangle would be a square. If it were a square, then its dimensions would be equal. So, the second equation is,
L-24=W+24
So we solve the system:
5W-24=W+24
4W=48
W=12
So, L=5(12)=60
So, the dimensions are 60cm and 12cm.

Answer by solver91311(12126)   (Show Source):
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A square is a rectangle where the length equals the width, so:

John

My calculator said it, I believe it, that settles it

Question 562475: Tickets for the annual symphony orchestra pops concert cost $15, and the average attendance at the concerts has been 1,200 people. Management projects that for each 0.50$ decrease in ticket price, 40 more patrons will attend. How many people attended the concert if the receipts were $17,280?
Answer by stanbon(48558)   (Show Source):
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Tickets for the annual symphony orchestra pops concert cost $15, and the average attendance at the concerts has been 1,200 people. Management projects that for each 0.50$ decrease in ticket price, 40 more patrons will attend. How many people attended the concert if the receipts were $17,280?
---
Let "x" be the number of 50 cent decreases in the price.
---
Income = (15 - 0.50x)(1200+40x) = 17,280
------
18000 + 600x - 600x - 20x^2 = 17,280
------
20x^2 - 720 = 0
---
x^2 - 36 = 0
Positive solution:
x = 6
=================
# that attended: 1200 + 6*40 = 1440
=====================================
Cheers,
Stan H.
=============

Question 559996: a motorboat has a constant speed of 14 miles per hour relative to the water going upstream for 33 miles and then returning. the total trip time was 7 hours. use this information to find the speed of the current.
Answer by ankor@dixie-net.com(12701)   (Show Source):
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a motorboat has a constant speed of 14 miles per hour relative to the water going upstream for 33 miles and then returning.
the total trip time was 7 hours. use this information to find the speed of the current.
:
Let c = the rate of the current
then
(14-c) = effective speed upstream (in relation to the land)
and
(14+c) = effective speed downstream
:
Write a time equation; time = dist/speed
:
Time upstr + time downstr = 7 hrs
+ = 7
;
Multiply by (14-c)(14+c), results:
33(14+c) + 33(14-c) = 7(14-c)(14+c)
:
462 + 33c + 462 - 33c = 7(196-c^2)
:
924 = 1372 - 7c^2
:
7c^2 = 1372 - 924
:
7c^2 = 448
:
c^2 =
c^2 = 64
c =
c = 8 mph is the speed of the current
:
:
See if this checks out. Find the actual time of each trip.
33/(14-8) = 5.5 hrs
33/(14+8) = 1.5 hrs
------------------
total time: 7.0 hrs

Question 560206: My question is what key words should I look for (and translating the thing):
Yissania and Charlotte walked on treadmills at the same time at the gym. Yissania walks at 5 mph while Charlotte walks 4.2 mph. If Yissania walked .6 miles farther than charlotte, how long did they use the treadmills.
I appreciate the help,
John
Answer by stanbon(48558)   (Show Source):
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Yissania and Charlotte walked on treadmills at the same time at the gym. Yissania walks at 5 mph while Charlotte walks 4.2 mph. If Yissania walked .6 miles farther than charlotte, how long did they use the treadmills.
-----
Yissania DATA:
rate = 5 mph : distance = x+0.6 miles ; time = d/r = (x+0.6)/5 hrs
-----------------
Charlotte DATA:
rate = 4.2 mph ; distance = x miles ; time = d/r = x/4.2 hrs
-----
Equation:
time = time
(x+0.6)/5 = x/4.2
----------------------
4.2x + 4.2*0.6 = 5x
0.8x = 2.52
x = 3.15 hrs (time each used the treadmill)
3.15 hrs = 3 hrs 9 minutes
==================================
Cheers,
Stan H.
=====================

Question 560204: The U.S. senate has 100 members.After a certain election, there were 12 more democrats than republicans, witho no other parties represented. how many memebers of each party were there in the senate
Answer by rfer(10432)   (Show Source):
You can put this solution on YOUR website!
x+x+12=100
2x=100-12
2x=88
x=88/2
x=44
x+12=56

Question 560077: how to solve 136 divided by 8.5 i know its 16 but how do u get it?
Answer by solver91311(12126)   (Show Source):
You can put this solution on YOUR website!

Move your decimal point one place to the right on both the divisor and the dividend. So you will end up dividing 1360 by 85.

John

My calculator said it, I believe it, that settles it

Question 560034: 13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?

Answer by richwmiller(7655)   (Show Source):
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They travel for 2 hours
300^2+400^2=x^2
find x

Question 20748: Fitness Fitness For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk 0.05 mile per minute and jog 0.1 mile per minute. For how much time were you walking? For how much time were you jogging? Use a verbal model to write and solve a system of linear equations.
Answer by harshachittar(3)   (Show Source):
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Okay here goes,
Before I start the solution please notice that the time is in minutes but the distance is in miles/hr.

Information given,
Total Time, t = 30 mins or 1/2 hr or .5 hr
Total distance, d = 2.5 miles/hr
Rate of walking Rw = 0.05 miles/min or 3 miles/hr
Rate of jogging Rj = 0.1 miles/min or 6 miles/hr

To Find,
Time jogged, Tj = ?
Time walked, Tw = ?

Let Dj be the distance jogged and Dw be the distance walked

Dj + Dw = 2.5 ------------ Equ (1)
Tj + Tw = 0.5 ------------ Equ (2)

We know that
D = T x R
so,
Dw = Tw x Rw
Dj = Tj x Rj

Replace the above in Equ (1)
(Tw x Rw) + (Tj x Rj) = 2.5 -------------- Equ (3)

From Equ(2) we get,
Tw = 0.5 - Tj,
So Equ (3) becomes
[(0.5 - Tj) x 3] + (6 x Tj) = 2.5
Solving the above equation for Tj we get,
Tj = 1/3 hr
Since,
Tw + Tj = 1/2
Tw = 1/2 - 1/3
Tw = 1/6
Time spent walking is 1/6 hr or 10 mins
Time spent jogging is 1/3 hr or 20 mins

Question 559626: Carol spends 17 hours in a 2-week period practicing her culinary skills.How many hours does she practice in 5 weeks?

Answer by solver91311(12126)   (Show Source):
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17 divided by 2 is 8.5. 8.5 times 5 is...

John

My calculator said it, I believe it, that settles it

Question 559554: Charle buys 1/4 pound of walnuts, 1/3 pound of almonds, and 1/6 pound of pecans. How many pounds of nuts did he buy altogether? Express answer in lowest terms
Answer by josmiceli(6786)   (Show Source):
You can put this solution on YOUR website!

The LCD is

Divide top and bottom by

He bought 3/4 of a pound altogether

Question 558847: one-half the total of four times a number and thirty-eight

Answer by Theo(2978)   (Show Source):
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let x = the number.
total of 4 times the number and 38 would be equal to:
4x + 38
half of that would be equal to:
2x + 19
assume the number is 9.
4*9 = 36 + 38 = 74
half of that is equal to 37
2*9 + 19 = 18 + 19 = 37
looks like the equivalent expression 2x + 19 is good.
that's my interpretation.
these can get tricky dependent on the way they're worded.
total of applies to 4 times the number and to 38 which is why i interpreted it as 4*x + 38

Question 558272: This is a story problem that i just dont understand
If a new cell phone co. offers a cellular plan that charges 29.95 per month and $.05 per min after the first 1200 mins. write an equation for the cost as function of the number of mins used.
This is the only thing that I can come up with but I dont think its right
(.05x T=y)= 29.95+y
T= would be the mins over the 1200
Thanks for all of your help
Answer by ankor@dixie-net.com(12701)   (Show Source):
You can put this solution on YOUR website!
If a new cell phone co. offers a cellular plan that charges 29.95 per month and $.05 per min after the first 1200 mins.
write an equation for the cost as function of the number of mins used.
:
Let m = no. minutes
C(m) = .05(m-1200) + 29.95
:
Of course this would only be valid if the user used 1200 min or more

Question 557511: A call to Tucson from a pay phone in Chicago cost 85 cents for the first minute and 27 cents for each additional minute or portion of a minute. If a student has $9.50 in change, how long can she talk?
Answer by TutorDelphia(189)   (Show Source):
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The hardest part of this question is the term each additional minute. If I make a call that's 10 minutes long, that'd be 1 minute plus 9 additional minutes. If my call was 15 minutes long, that'd be 1 minute plus 14 additional minutes. In general, its the flat rate minute, plus m-1 where m is the total number of minutes.
As an equation we get:
9.50=.85+.27(m-1)
distribute the .27
9.50=.85+.27m-.27
combine like terms
9.50=.58+.27m
subtract .58 from both sides
8.92=.27m
divide both sides by .27
And we get 33.03
So that'd by 33 minutes

Question 556789: A man buys seven DVDs for $81.62, including 6% sales tax. How much did each DVD cost?
Answer by Maths68(1160)   (Show Source):
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Let
Original cost of seven DVDs = x
6% of x = 6%(x)=6/100(x) = 6x/100

original cost + 6% tax = 81.62
x+6x/100=81.62
Multiply by 100 both sides
100x+6x=81.62*100
106x=8162
x=8162/106
x=77
Seven DvD's original cost = $77
One DvD costs = 77/7 = $11

Question 555806: the sum of 2 times a number and 5, added to 9 times a number
Answer by jim_thompson5910(21685)   (Show Source):
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"the sum of 2 times a number and 5, added to 9 times a number" all translates to which simplifies to

Question 555025: a coin is biased so that a head is twice as likely to occur as a tail.If the coin is tossed 3 times, what is the probability of getting 2 tails and 1 head?

Answer by edjones(7311)   (Show Source):
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h=2/3, t=1/3
(h+t)^3
nCr=3C2=3
3ht^2
= 3 * 2/3 * (1/3)^2
=2/9 the probability of getting 2 tails and 1 head.
.
Ed

Question 554392: The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brothers age by 48 years. What is the age of the youngest brother?
Answer by Maths68(1160)   (Show Source):
You can put this solution on YOUR website!
Let
Youngest brother age = x+2
Younger brother age = x+4
Oldest brother age = x+6

Given
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Three times the age of the youngest brother exceeds the oldest brothers age by 48 years
3(x+2)=x+6+48
3x+6=x+54
3x-x=54-6
2x=48
2x/2=48/2
x=24

Youngest brother age = x+2 = 24+2 = 26 years old
Younger brother age = x+4 = 24+4 = 28 years old
Oldest brother age = x+6 = 24+6 = 30 years old

Question 553160: 1/3 less than a reciprocal of a certain number
Answer by solver91311(12126)   (Show Source):
You can put this solution on YOUR website!

Fascinating. What did you want to do with this startling little morsel of mathematical manifesto?

John

My calculator said it, I believe it, that settles it

Question 552952: Please help me solve this question by 12p.m. on January 5, 2012:
In an orchard containing 66 trees the number of pear trees is nine more than twice the number of apple trees. How many are there of each kind?

Thanking you in advance,
Helpless student
Answer by mananth(10551)   (Show Source):
You can put this solution on YOUR website!
Apple trees =x
pear trees = 9+2x
total = 66
x+9+2x=66
3x+9=66
-9
3x= 57
/3
x=109
19 apple trees
the balance is pear trees

Question 552464: the difference of 21 and the product of 5 and a number y is less than 7
Answer by mananth(10551)   (Show Source):
You can put this solution on YOUR website!

Question 552431: What is the equation of Five times a number decreased by eight is equal to thirity-two? and also A number multiplied by 8 and divided by four gives 7 more than the number.Thanks!
Answer by mananth(10551)   (Show Source):
You can put this solution on YOUR website!
let number be x
5 times = 5x
less 8
5x-8 = 32
add 8
5x=25
/5
x= 5
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Sumilarly
8x/4 =7+x
multiply equation by 4
8x=28+4x
8x-4x=28
4x=28
x=7
m.ananth@hotmail.ca