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Question 614438: three men can complete a certain work in 7 days. after one day's work if three more men join, the remaining work would be completed in how many days
Answer by ankor@dixie-net.com(13504)

(Show Source):

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three men can complete a certain work in 7 days.
after one day's work if three more men join, the remaining work would be completed in how many days
:
Find the number of man-days to complete the job
3 * 7 = 21 man-days
:
"after one day's work if three more men join, the remaining work would be completed in how many days"
:
let d = number of additional days
3(d+1) + 3d = 21
3d + 3 + 3d = 21
6d = 21 - 3
d = 18/6
d = 3 additional days to complete the job

Question 614436: Tickets for a concert were sold at $26 each and $36 each.four times as many $26 tickets were sold as $36 tickets. Total revenue from the sale of tickets was $28000. How many tickets of each price were sold?
Answer by ewatrrr(7340)

(Show Source):

You can put this solution on YOUR website!

 

Hi

Tickets for a concert were sold at $26 each and $36 each.

four times as many $26 tickets were sold as $36 tickets.

let x and 4x represnt the nunber of $36 and $26 tickets respectively:

Question states***Total revenue from the sale of tickets was $28000

 $26(4x) + $36x = $28000

    $140x = $28000

       x = 28000/104 = 200 $36 dollar tickets sold and 800 $26 dollar tickets sold

Question 614356: Workkng alone Carrie can paint a house in 3 hours less than Walter. Together Carrie and Walter an paint a house in 8 hours. How long does it take Walter to paint a house?
Answer by edjones(7481)   (Show Source):
You can put this solution on YOUR website!
Walter can paint the house in w hours; Carrie in w-3 hrs.
1/w the amt. walt does in 1 hr.; 1/(w-3) carrie does in 1 hr.
1/w + 1/(w-3) = 1/8 together in 1 hr.
8(w-3)+8w=w(w-3)
8w-24+8w=w^2-3w
w^2-19w+24=0 Quadratic formula
w=17.6 hrs
.
Ed

Question 614299: In the equation V=Bh what does the (B) stand for how would u find the B in a equation
Answer by Earlsdon(6215)   (Show Source):
You can put this solution on YOUR website!
This looks like the formula for finding the volume of a prism.
where B = the area of the base of the prism and h = its height.
You can rearrange the formula for B as follows:

Question 614320: The square and the equilateral triangle at the right have the same perimeter.Find the length of the sides of the triangle. One side of the triangle has 3x and the square has a side that is x+5. please help me! I have no clue on how to solve this!
Answer by Earlsdon(6215)   (Show Source):
You can put this solution on YOUR website!
The perimeter of a square is 4*S where S = x+5.
The perimeter of an equilateral triangle is 3*s where s = 3x.
The perimeters are equal, so...
4(x+5) = 3(3x) Simplify.
4x+20 = 9x Subtract 4x from both sides.
20 = 5x Divide both sides by 5.
x = 4
x+ 5 = 9
3x = 12.
The sides of the equilateral triangle are 12 each.

Question 614226: An apple sells for 25 cents and a peach sells for 15 cents . A total of 10 pieces of fruit were sold for a total cost of $ 2.10. How many apples were sold
Answer by lwsshak3(3708)   (Show Source):
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An apple sells for 25 cents and a peach sells for 15 cents . A total of 10 pieces of fruit were sold for a total cost of $ 2.10. How many apples were sold
**
let x=number of apples sold
10-x=nmber of peaches sold
..
.25x+.15(10-x)=2.10
.25x+1.5-.15x=2.10
.10x=.60
x=6
10-x=4
ans:
number of apples sold=6
nmber of peaches sold=4

Question 614222: square root of 18
Answer by richwmiller(8279)   (Show Source):
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sqrt(18)=sqrt(2)*sqrt(9)=3sqrt2*

Question 614215: 8<2(x+3)<=14
Answer by stanbon(50470)   (Show Source):
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8<2(x+3)<=14
-----
8 < 2x+6 <= 14
======================
Subtract 6 along the line:
-------
2 < 2x <= 8
Divide thru by 2 to get:
1 < x <= 4
===================
Cheers,
Stan H.

Question 614170: Honeydew melon costs four times as much as a peach . Together they coast $1.50. How much does each cost
Answer by nerdybill(5872)   (Show Source):
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Honeydew melon costs four times as much as a peach . Together they coast $1.50. How much does each cost
.
Let p = cost of peach
then
4p = cost of honeydew melon
.
p + 4p = 1.50
5p = 1.50
p = $0.30 (peach)
.
Honeydew:
4p = 4(.30) = $1.20

Question 613782: hi,
so my grade average right now in my reading class is a 88.8% and i just failed on of my tests so no what would be my grade. i got a 50% out of 100%. please tell me asap
thanks!
Answer by Alan3354(23880)   (Show Source):
You can put this solution on YOUR website!
my grade average right now in my reading class is a 88.8% and i just failed on of my tests so no what would be my grade. i got a 50% out of 100%.
-------------
It depends on how many tests the 88.8% is based on.
For n tests, the new avg = (n*88.8 + 50)/(n+1)

Question 613815: Please help me
Answer by Alan3354(23880)   (Show Source):
You can put this solution on YOUR website!
Please help me
---------
What do you need?
Cash?
A rope?
Flotation gear?
A ride?

Question 613689: Given that sin(alpha)=2/3 and sin(beta)=-1/3 with alpha in Quadrant 2 and beta in quadrant 4, find sin(alpha+beta) and tan(alpha+beta)
Answer by lwsshak3(3708)   (Show Source):
You can put this solution on YOUR website!
Given that sin(alpha)=2/3 and sin(beta)=-1/3 with alpha in Quadrant 2 and beta in quadrant 4, find sin(alpha+beta) and tan(alpha+beta)
**
use x for alpha and y for beta
sinx=2/3 (quad II)
cosx=-√5/3
tanx=-2/√5
..
siny=-1/3 (quad IV)
cosy=√8/3
tany=-1/√8
..
Using sin and tan addition formulas:
sin(x+y)
=sinxcosy+cosxsiny
=2/3*√8/3+(-√5/3)(-1/3)
=2√8/9+√5/9
=(2√8+√5)/9
≈.88
..
tan(x+y)=(tanx+tany)/(1-tanxtany)
=(-2/√5-1/√8)/(1-(-2/√5*-1/√8))
≈-1.25/.683
≈-1.83
..
ans:
sin(alpha+beta)≈.88
tan(alpha+beta)≈1.83

Question 613688: Given cos(theta)= 1/4 with theta in Quadrant 1, find cos(theta/2) , sin(theta/2) , sin2(theta) , cos2(theta):
Answer by Theo(3065)   (Show Source):
You can put this solution on YOUR website!
cos(t) = 1/4
this makes t = 75.52248781 degrees.
cos(75.52248781) = 1/4
that establishes your baseline angle.
cos(t/2) is equal to cos(75.52248781/2) = .790569415
sin(t/2) is equal to sin(75.52248781/2) = .612372436
sin^2(t) = (sin(t))^2 = (.968245837)^2 = .9375
cos^2(t) = (cos(t))^2 = (25)^2 = .0625
you need to use your calculator to get these values.
find cos^-1(1/4) first and then work from there.

Question 613594: What 2 things do we need to write the equation of a line ?
Answer by Theo(3065)   (Show Source):
You can put this solution on YOUR website!
you need a minimum of either:
(a) 1 point on the line and a slope
(b) 2 points on the line
from 2 points on the line, you can calculate the slope and then, using one of the points, can determine the equation.
equation for a straight line is:
(a) standard form:
ax + by = c
(b) slope intercept form:
y = mx + b
(c) point slope form:
y-y1 = m(x-x1)
m is the slope
b is the y-intercept
m can be determine by the equation of:
m = (y1-y2)/(x1-x2)
(x1,y1) is one point on the line.
(x2,y2) is the other point on the line.
once you know the slope, you can use either the point slope form or the y intercept form to generate the equation of the line.
example:
2 points are (1,5) and 2,7)
assign (1,5) to be (x1,y1) - you can assign either one of the points - it doesn't matter.
assign (2,7)) to be (x2,y2) - this is the other point.
from those 2 points, find the slope.
m = (y1-y2)/(x1-x2) = (5-7)/(1-2) = -2/-1 = 2
slope intercept form of the equation becomes:
y = 2x + b
substitute either point for x and y and solve for b.
b is the y-intercept.
example:
use the point (2,7)
slope intercept form of the equation becomes:
7 = 2(2) + b which becomes:
7 = 4 + b which becomes:
b = 3
slope intercept form of the equation becomes:
y = 2x + 3
you could also have used the point slope form of the equation once you knew that m = 2
point slope form of the equation is y-y1 = m(x-x1) which becomes:
y-y1 = m(x-x1)
assign one of the points to (x1,y1) - it doesn't matter which one.
we'll use (1,5) = (x1,y1)
point slope form of the equation becomes:
y-5 = 2(x-1)
we can now convert this to slope intercept form by solving for y as follows:
add 5 to both sides of the equation to get:
y = 2(x-1) + 5 which becomes:
y = 2x-2 + 5 which becomes:
y = 2x + 3
same equation as before only we derived it a different way./
to get to the standard form of the equation, start from the slope intercept form of the equation and manipulate to the standard form as shown below:
y = 2x + 3
subtract 2x from both sides of the equation to get:
-2x + y = 3
you can leave it like this or you can multiply both sides of the equation by -1 to make the x term positive.
if you do, then you get:
2x - y = -3
either form is acceptable.
all forms of the equation for the same straight line can be derived from either form with a little algebra.

Question 613382: (r-3)(r+15)=-33
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
(r-3)(r+15)=-33
-----
r^2+15r-3r-45 = -33
------
r^2 + 12r -12 = 0
---
r = [-12 +- sqrt(144-4*-12)]/2
---------------------------------
r = [-12 +- sqrt(192)]/2
----
r = [-12 +- 8sqrt(3)]/2
-----
r = [-6+-4sqrt(3)]
=========================
Cheers,
Stan H.
====================

Question 613341: 3√(x-1)=√(3x+3)
Answer by Earlsdon(6215)   (Show Source):
You can put this solution on YOUR website!
Solve for x:
Square both sides.
Simplify.
Subtract 3x from both sides.
Add 9 to both sides.
FInally, divide both sides by 6.

Question 613240: At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds. Assume that puppy weight is a linear function in time in weeks for the first year. If thou opt growth is graphed with weeks on the x axis and pounds on the y axis, what is the slope of the graph? What is an equation of the line? How much did the puppy weigh when it was born? At what age will the puppy weigh 30 pounds?
Answer by ewatrrr(7340)   (Show Source):
You can put this solution on YOUR website!

Hi,
At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds
(30,24)
(10,9) m =
y = (13/20)x + b
9 = (13/20)10 + b
5/2 = b
when born (x=0) weighed 2.5 lbs

At 42.3 wks, puppy will weigh 30lbs

Question 613255: What is the x-coordinate of the point of intersection of the two lines below?
Y=negative 3x -3
5x plus y=5
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
What is the x-coordinate of the point of intersection of the two lines below?
Y=negative 3x -3
5x plus y=5
-----
y = -3x-3
y = -5x+5
---
Solve:
-3x-3 = -5x+5
2x = 8
x = 4
===============
Cheers,
Stan H.
==============

Question 613248: Solve for x over the real numbers:
x(squared) - x -3=0
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
Solve for x over the real numbers:
x(squared) - x -3=0
--------
x^2-x-3 = 0
Use the quadratic formula:
x = [1 +- sqrt(1-4*1*-3)]/(2)
----
x = [1 +- sqrt(13)]/2
---
x = (1/2) + (1/2)(sqrt(13) or x = (1/2)-(1/2)sqrt(13)
===================
Cheers,
Stan H.
==================

Question 613244: A ball is thrown off the top of a classroom building with an initial upward velocity of 10 feet per second. The height above the ground can be found using h= -16t(squared) + 10t + 40 with t representing time in seconds and h representing height in feet. How high is the ball after 0.8 seconds? When will the ball be 20 feet above the ground and headed down?
Found 2 solutions by nerdybill, Alan3354:
Answer by nerdybill(5872)   (Show Source):
You can put this solution on YOUR website!
A ball is thrown off the top of a classroom building with an initial upward velocity of 10 feet per second. The height above the ground can be found using h= -16t(squared) + 10t + 40 with t representing time in seconds and h representing height in feet. How high is the ball after 0.8 seconds?
.
given:

set t to 0.8 and solve for h:

feet
.
When will the ball be 20 feet above the ground and headed down?
set h to 20 and solve for t:

Applying the "quadratic formula" we get:
x = {-0.46, 1.09}
answer:
x = 1.09 secs
.
details of quadratic follows:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=153 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.08558230480331, -0.460582304803311. Here's your graph:

Answer by Alan3354(23880)   (Show Source):
You can put this solution on YOUR website!
A ball is thrown off the top of a classroom building with an initial upward velocity of 10 feet per second. The height above the ground can be found using h= -16t(squared) + 10t + 40 with t representing time in seconds and h representing height in feet. How high is the ball after 0.8 seconds?
-----
Sub 0.8 for t
h(0.8) = -16*0.8^2 + 10*0.8 + 40
= 37.76 feet
-----------------
When will the ball be 20 feet above the ground and headed down?
h = 20
20 = -16t^2 + 10t + 40

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1380 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.848385976312919, 1.47338597631292. Here's your graph:

=======================
Ignore the negative solution.

Question 612900: (3,4) (4,6)
Answer by Alan3354(23880)   (Show Source):
You can put this solution on YOUR website!
Do you have a question?

Question 612954: On My Test, There's an question asking: Given the following triangle side lenghts, identify the triangle as acute, right, or obtuse. I Don't Know How To Do That, , But The Questions Are 1. 9 cm, 10, cm, 12, cm. 2. 8 m, 15 m, 17 m. 3. 5 in., 6 in., 10in. 4. 7 mm, 24 mm, 25 mm, 5. 8 ft, 11 ft, 13 ft, & the last one is 3 yd, 8 yd, 9 yd.
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
Use the pythagorean theorem (but in the opposite direction so to speak)

The idea is this: If A, B and C are the sides of a triangle where C is the longest side, then we can say the following

i) If A^2+B^2 = C^2 is true, then we have a right triangle

ii) If A^2+B^2 > C^2 is the case, then we have an acute triangle.

iii) If A^2+B^2 < C^2, then we have an obtuse triangle.

Question 612947:
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
Problem missing.

Question 612919: The length of a rectangle is 2ft longer than its width. Find the dimensions of the rectangle such that the perimeter of the rectangle is 845ft
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
P = 2L + 2W

845 = 2(W+2) + 2W

845 = 2W+4 + 2W

845 = 4W+4

845-4 = 4W

841 = 4W

841/4 = W

W = 841/4

Now that you know W, use it to find L

Remember that L = W+2

Question 612905: Where can I go at to find a free tutor
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
You can come here. Post any problem you're having trouble with and someone will answer your question.

Question 612899: (18,-4) (6,-10)
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
What do you want to do here?

Question 612837: How do i pass grade 9 math,there are only 5 weeks left,can you give me ideas of what i could do to boost my mark up higher in these 5 weeks left.... Thank you
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
Review material covered up to this point.
Look at your previous test papers till
you can correctly answer those questions.
Do your classwork daily.
Ask questions when you don't understand.
Talk to your teacher ; find out what you
need to do to bring up your grade.
Work hard.
Cheers,
Stan H.

Question 612780: How many pounds of coffee beans selling for 1.60 per pound should be mixed with 7 pounds of coffee beans selling for 2.40 per pound to obtain a mixture selling for 2.16 per pound
Answer by Theo(3065)   (Show Source):
You can put this solution on YOUR website!
let x = the number of pounds of coffee beans selling for 1.60 per pound.
this makes x + 7 equal to the total number of pounds of coffee beans selling for 2l.16 per pound.
if you add x * 1.6 and you add 7 * 2.40, you will get (x+7) * 2.16
your equation becomes:
1.6x + 2.4*7 = 2.16(x+7)
simplify to get:
1.6x + 16.8 = 2.16x + 15.12
subtract 1.6x from both sides of the equation and subtract 15.12 from both sides of the equation to get:
16.8 - 15.12 = 2.16x - 1.6x
simplify to get:
1.68 = .56x
divide both sides by .56 to get:
1.68/.56 = x
simplify to get:
3 = x which is the same as x = 3.
that's your answer.
3*1.6 + 7*2.4 = 10*2.16
simplify to get:
4.8 + 16.8 = 21.6
simplify further to get:
21.6 = 21.6
answer is confirmed as true.

Question 612774: How many gallons of an 80% alcohol solution must be mixed with 50 gallons of a 16% solution to obtain a solution that is 70% alcohol
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
How many gallons of an 80% alcohol solution must be mixed with 50 gallons of a 16% solution to obtain a solution that is 70% alcohol
--------
Equation:
alcohol + alcohol = alcohol
0.80x + 0.16*50 = 0.70(x+50)
80x + 16*50 = 70x + 70*50
10x = 54*50
x = 5*54
x = 270 gallons (amt. of 80% solution needed)
==================================================
Cheers,
Stan H.
===============

Question 612682: What is the salesperson's commission on a $600 sale if thr commission rate is 5%
Answer by rfer(10941)   (Show Source):
You can put this solution on YOUR website!
600*0.05=$30

Question 612680: The total cash payment for an item is $79.55. If there is 7.50% sales tax included in this payment, what is the base price?
Answer by nerdybill(5872)   (Show Source):
You can put this solution on YOUR website!
The total cash payment for an item is $79.55. If there is 7.50% sales tax included in this payment, what is the base price?
.
Let b = base price
then
b + .075b = 79.55
b(1 + .075) = 79.55
b(1.075) = 79.55
b = 79.55/1.075
b = $74

Question 612681: What is the final price of a book with the supplier's cost of $12.00, a mark-up of 75%, and a discount of 20%
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
What is the final price of a book with the supplier's cost of $12.00, a mark-up of 75%, and a discount of 20%
----
start: $12
mark-up: 1.75(12)
final: 0.8(1.75)(12) = $16.80
===================================
Cheers,
Stan H.
===================

Question 612674: Jamey planted a sapling in his back yard for his school's ecology program. The sapling was ten inches high when he planted it. Two years later it was one foot and ten inches high. What is the percent of change in the tree's growth during this time? Label your answer as an increase or decrease.
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
Jamey planted a sapling in his back yard for his school's ecology program. The sapling was ten inches high when he planted it. Two years later it was one foot and ten inches high. What is the percent of change in the tree's growth during this time? Label your answer as an increase or decrease.
------
Quantity increase:
start: 10 inches
after 2 years: 12+10 = 22 inches
Quantity increase = 22-10 = 12 inches
---
Percent increase: 12/10 = 1.2 = 120%
========================================
cheers,
Stan H.

Question 612665: About 65% of the 312 students in a school ate the lunch special on Tuesday. Using fractions, estimate how many students had the lunch special.
Answer by stanbon(50470)   (Show Source):
You can put this solution on YOUR website!
About 65% of the 312 students in a school ate the lunch special on Tuesday. Using fractions, estimate how many students had the lunch special.
------
Ans: (65/100)*312 = 65*3.12: That is approximately 200
===========================
Cheers,
Stan H.
===========================

Question 612546: Find the mean and standard deviation of a set of grades between 68 and 86. They are within 3 standard deviations of the mean if it is normally distributed.
Answer by solver91311(13359)   (Show Source):
You can put this solution on YOUR website!

Where is your data set?

John

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

Question 612533: Reduce to lowest terms.
4x^3y^3/-8x^2y
Answer by lynnlo(331)   (Show Source):
You can put this solution on YOUR website!
-x^5y^4

Question 612549: A car sales man has many cars on a lot with the following prices; 18,900 29,900 19,800 20,500 and 21,750. He's trying to show his customers he has the best prices. What measure of tendency would you use? Why.
Answer by solver91311(13359)   (Show Source):
You can put this solution on YOUR website!

5 different values so there is no mode. Calculate the mean and the median and then pick the smaller one.

John

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

Question 612547: I need help with algebra all of it , the beginning and end . Please help
Answer by solver91311(13359)   (Show Source):
You can put this solution on YOUR website!

Sure. I'll work with you. 3 hours per week for 10 weeks. $30/hour.

John

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

Question 612543: What isthe probability of picking 2 aces out of a deck of 52 cards?
Answer by solver91311(13359)   (Show Source):
You can put this solution on YOUR website!

Depends. How many draws? If you don't draw at all, or if you only draw 1 card, then the probability is zero. If you draw 2, but put the first one back before you draw the second one, that has one answer, but if you don't replace your card, you have a different result. If you draw 52 times without replacement, then the probability is 1. Tell us the whole problem and then maybe we can help.

John

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

Question 612474: (-5,4) (-1,11)
Answer by ewatrrr(7340)   (Show Source):
You can put this solution on YOUR website!

Hi,
Find the slope of the line through each pair of points:

(-5,4)
(-1,11) m = -7/-4 = 7/4
y = (7/4)x + b ||Using Pt(-1,11) to solve for b
11 = (7/4)(-1) + b
51/4 = b
0 = b
y = (7/4)x + 51/4 OR in Standard form: 7x -4y = 51

Question 612475: (-2,-8) (1,4)
Answer by ewatrrr(7340)   (Show Source):
You can put this solution on YOUR website!

Hi,
Find the slope of the line through each pair of points:

(-2,-8)
(1,4) m = -12/-3 = 4
y = 4x + b ||Using Pt(1,4) to solve for b
4 = 4*1 + b
0 = b
y = 4x OR in Standard form: 4x -y = 0

Question 612505: What is the probability of picking 3 letters from the word distance and all three being vowels?
Answer by ewatrrr(7340)   (Show Source):
You can put this solution on YOUR website!

Hi,
distance ||8-letter word, 3-vowels
picking 3 letters from the word distance
P(all three being vowels) = 3C3/8C3 = 1/56

Question 612507: What is the least common multiple of m^2-5m+6 and M^2-4m+4?
Answer by jim_thompson5910(23765)   (Show Source):
You can put this solution on YOUR website!
Hint: Factor each expression and multiply all the unique and most occurring factors to find the LCM.