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Functions/286353: in 1992 the life expectancy of males was 70.6 years. in 1999 it was 73.3 years. let e represent the life expectancy in year t and let t represent the number of years since 1992
1 solutions

Answer 207868 by nyc_function(2733) on 2010-03-29 17:26:23 (Show Source):

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This question is incomplete.
Where is the rest?

Surface-area/286341: if the verticies of square A are the midpoints of the sides of square B, what is the ratio of the area of Square A to the area of Square B.
1 solutions

Answer 207867 by nyc_function(2733) on 2010-03-29 17:25:20 (Show Source):

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Area of square A = x^2
Area of square B = (x/2)^2
Their ratio is (x^2)/(x/2)^2

decimal-numbers/286559: Marie has three pieces of ribbon she wants to use to decorate a gift box.She measured the three pieces with a ruler and got 32.3cm, 41.19cm, and 57.8cm.She needs 200cm of ribbon for the box.How much is Marie over or under what she needs? Show work,
1 solutions

Answer 207865 by nyc_function(2733) on 2010-03-29 17:19:18 (Show Source):

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Let A = piece 1 is 32.3cm
Let B = piece 2 is 41.19cm
Let C = piece 3 is 57.8cm
The total needed is 200cm for the box.
If we add A + B + C, the total ribbons is 131.29cm.
How much is Marie over or under what she needs?
Marie is definitely under in terms of cm.
By how much is she under?
Subtract 131.29cm from 200cm and you shall have the answer.
Can you do it now?

Linear-systems/286578: 2x+3y=13
y=x+1
in graphing method
1 solutions

Answer 207860 by nyc_function(2733) on 2010-03-29 17:10:38 (Show Source):

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Graph both equations. The point where they both meet or cross each other on the coordinate plane is the solution of this system of linear equations in two variables.

Circles/286572: a cake has three circular tires; each is 8 cm high. the tiers have diameters 60 cm, 48 cm, 36 cm. what is the surface area to be covered by frosting? there is no frosting between layers
1 solutions

Answer 207858 by nyc_function(2733) on 2010-03-29 17:09:02 (Show Source):

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The surface area of a circle is given by A = 4pi(r^2), where pi = 3.14.
The cake with diameter 60cm has a radius of 30cm.
The cake with diameter 48cm has a radius of 24cm.
The cake with diameter 36cm has a radius of 18cm.

What do you think can be done with this information to find the total surface area?
You need to use the formula above 3 times (one for each cake tire).
Total frosting on cake = 4(3.14)(30cm)^2 + 4(3.14)(24cm)^2 + 4(3.14)(18cm)^2
You can take it from here.

Equations/286541: Given F(X)=x-3 and g(X)= X^2 over x-3 find g(f(x))
1 solutions

Answer 207855 by nyc_function(2733) on 2010-03-29 16:58:20 (Show Source):

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g(f(x)) = plug value of f(x) into the value of g(x) and simplify.
We know the value of f(x) is x - 3.
Everywhere you see x for the function g(x), replace it with x - 3 and simplify.
g(x - 3) = (x - 3)^2/(x - 3) - 3
g(x - 3) = (x - 3)(x - 3)/(x - 6)
So, g(f(x)) = (x - 3)(x - 3)/(x - 6)

Numbers_Word_Problems/286567: the sum of three consecutive integers is 144. what are the integers?

1 solutions

Answer 207851 by nyc_function(2733) on 2010-03-29 16:48:03 (Show Source):

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Let x = first integer
Let x + 1 = second integer
Let x + 2 = third integer
x + x + 1 + x + 2 = 144
Can you do it now?

Numbers_Word_Problems/286566: one number is four more than twice the second number. Their dirrences is eleven
1 solutions

Answer 207850 by nyc_function(2733) on 2010-03-29 16:46:52 (Show Source):

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Let x = one of the numbers
Let y = the other number
x = 2y + 4
x - y = 11
You have a system of linear equations in two variables.
Can you do it now?

Numbers_Word_Problems/286568: one number is four more than twice the second number. Their dirrences is eleven
1 solutions

Answer 207848 by nyc_function(2733) on 2010-03-29 16:46:13 (Show Source):

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Let x = one of the numbers
Let y = the other number
x = 2y + 4
x - y = 11
You have a system of linear equations in two variables.
Can you do it now?

Finance/285708: a competitive college runner ran a 5km race in 15 minutes ,23 seconds. what was her pace in miles per hour?
1 solutions

Answer 207165 by nyc_function(2733) on 2010-03-26 20:59:25 (Show Source):

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D = rt
5 = r(23/4)
Solve for r.
Can you do it now?

Geometry_Word_Problems/285709: ABCD is a square. If one side of the square measures 2x – 5 inches and the other side measures x + 8 inches, find x
1 solutions

Answer 207164 by nyc_function(2733) on 2010-03-26 20:52:14 (Show Source):

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The sides of a square equal each other.
Then we equate what was given to you and solve for x.
2x - 5 = x + 8
2x - x = 5 + 8
x = 13

Linear-equations/285464: 4x-12y=8 solve for x
1 solutions

Answer 207162 by nyc_function(2733) on 2010-03-26 20:49:59 (Show Source):

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4x - 12y = 8
4x = 12y + 8
x = (12y + 8)/4
x = 3y + 2

Radicals/285459: which expression simplifies to 3x to the 5th power?
1 solutions

Answer 207161 by nyc_function(2733) on 2010-03-26 20:48:57 (Show Source):

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Where are the expressions?

Average/285455: How do you figure P=4b+d-7c
1 solutions

Answer 207160 by nyc_function(2733) on 2010-03-26 20:47:46 (Show Source):

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To solve for a variable means to isolate that variable on one side of the equation. As you can see, P has already been isolated. This question has been solved.
Answer: P = 4b + d - 7c

Expressions-with-variables/285430: 1. Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.
a. The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.

b. The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in Part a.

c. Use the equations from Parts a. and b. of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.

d. What are the intercepts of the equation from Part a. of this problem? What are the intercepts from Part b. of this problem? Where would the lines intersect if you solved the system by graphing?

1 solutions

Answer 207158 by nyc_function(2733) on 2010-03-26 20:46:15 (Show Source):

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Equation for part (a) is:
x + y = 56
Equation for part (b) is:
3y = x
Here are the two equations together:
x + y = 56
3y = x
Can you finish now?
I gave you enough data to answer the two remaining parts.

Radicals/285431: If the sides of a square are lengthened by 8cm, the area becomes 144cm^2
find the length of a side of the original square.
I could use some help with this.
1 solutions

Answer 207156 by nyc_function(2733) on 2010-03-26 20:39:21 (Show Source):

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Let x = side of original square.
Let x + 8 = side of new square.
The area is found using A = side times side.
(x + 8)^2 = 144
Can you finish now?
All you need to do is find x.

Linear_Equations_And_Systems_Word_Problems/285440: Sarah’s two student loans totaled $12,000. One of her loans was at 6% simple interest and the other at 9%. After one year, Sarah owed $855 in interest. What was the amount of each loan?
1 solutions

Answer 207154 by nyc_function(2733) on 2010-03-26 20:34:24 (Show Source):

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Here is your equation system:
x + y = 12,000
0.06x + 0.09y = 855
Can you solve the system now?

Surface-area/285439: what is the surface area of a pyrimid
1 solutions

Answer 207149 by nyc_function(2733) on 2010-03-26 20:27:27 (Show Source):

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Copy and paste this for your answer:
http://www.math.com/tables/geometry/surfareas.htm

Quadratic-relations-and-conic-sections/285445: 4x^2+16y^2=16
1 solutions

Answer 207147 by nyc_function(2733) on 2010-03-26 20:26:21 (Show Source):

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What exactly are you trying to do with this equation?
Can you be more specific?

Average/285452: Write the formula for the lateral surface area of a prism.
1 solutions

Answer 207146 by nyc_function(2733) on 2010-03-26 20:25:24 (Show Source):

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Did you try searching on-line?
Try this site: http://www.math.com/tables/geometry/surfareas.htm

Angles/285701: Find the measures of a positive angle and a negative angle that are coterminal with each given angle
theta = -316 degrees
1 solutions

Answer 207141 by nyc_function(2733) on 2010-03-26 20:19:56 (Show Source):

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The angles must have the same terminal side.
We use theta + 360, where theta is the given angle.
-316 + 360 = 44....This is one of the angles.
To find a negative coterminal angle, add -316 to -360 = -676.
In other words, when you need to find negative coterminal angles,
use theta + (-360).

Angles/285703: (x/2) + 27 + x = 90 how do i solve this problem so i can be able to answer my other ones''.
1 solutions

Answer 207129 by nyc_function(2733) on 2010-03-26 20:04:51 (Show Source):

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I just e-mailed the answers. Did you get it?

Angles/285702: (x/2) + 27 + x = 90 how to i solve this problem so i can be able to answer my other ones
1 solutions

Answer 207126 by nyc_function(2733) on 2010-03-26 20:01:11 (Show Source):

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I just e-mailed the solution. Did you get it?

Linear-equations/285658: given the functions: f(x) = x2 - 3x +5 and g (x) = 5x - 1; find f (2)
1 solutions

Answer 207122 by nyc_function(2733) on 2010-03-26 19:55:48 (Show Source):

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Replace x with 2 for f(x) and simplify.
f(2) = (2)^2 - 3(2) + 5
f(2) = 4 - 6 + 5
f(2) = -2 + 5
f(2) = 3

Linear-equations/285679: Write an equation of the line containing the given point and perpendicular to the given line. (8,-6); 3x+5y=8. The equation of the line is y=
1 solutions

Answer 207119 by nyc_function(2733) on 2010-03-26 19:53:04 (Show Source):

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The line we are looking for is perpendicular to the given equation, which means that its slope is the negative reciprocal of the slope of the given equation.
3x + 5y = 8
5y = -3x + 8
y = (-3/5)(x) + 8
The negative reciprocal of (-3/5) is (5/3) because (-3/5) times (5/3) = -1.
We now plug (5/3) and your point (8, -6) into the point-slope formula and solve for y.
y - (-6) = (5/3)(x - 8)
y + 6 = (5/3)(x) - 40/3
y = (5/3)(x) - 40/3 - 6
y = (5/3)(x) - 22/3

Average/285678: one day you drove to school at an average speed of 20 miles per hour later the day you drove home at an average speed of 30 miles per hour what is the average speed for the two trips?

1 solutions

Answer 207111 by nyc_function(2733) on 2010-03-26 19:46:06 (Show Source):

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Let A = average miles per hour
A = (20 + 30)/2
Can you find A now?

Triangles/285696: what is the perimeter of an isosceles triangle with a base of 15 and a side of 9.
1 solutions

Answer 207108 by nyc_function(2733) on 2010-03-26 19:44:07 (Show Source):

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The perimeter of an isosceles triangle is found using P = 2a + b.
Let b = base and a = side of triangle.
Remember the two sides that are not the base are equal.
P = 2(9) + 15
Can you do it now?

Quadratic_Equations/285697: 4x(x-1)-5x(x)=3 solve for x

please help and thankyou
1 solutions

Answer 207101 by nyc_function(2733) on 2010-03-26 19:40:24 (Show Source):

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I will begin and you can finish.
4x(x - 1)- 5x(x)= 3
4x^2 - 4x - 5x^2 = 3
-x^2 - 4x = 3
-x^2 - 4x - 3 = 0
Can you do it now?
http://nycfunction.webs.com/

Angles/285699: two angles are complimentary. the measure of one angle is 27 degrees more than one half of the measure of the other. find the measure of each angle.
1 solutions

Answer 207099 by nyc_function(2733) on 2010-03-26 19:38:07 (Show Source):

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Let x/2 + 27 = first angle
Let x = the second angle
They are complementary, which means they add up to 90 degrees.
Here is your equation:
(x/2) + 27 + x = 90
Can you do it now?
http://nycfunction.webs.com/

Rectangles/284932: what is the area of a rectangle 6 meters by 18 meters?
1 solutions

Answer 206661 by nyc_function(2733) on 2010-03-24 16:52:41 (Show Source):

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Area of Rectangle = length time width
Area is written in squared units
A = L * W
A = 18m * 6m
A = 108m^2

Complex_Numbers/284922: How do you work n2-6n-27
1 solutions

Answer 206660 by nyc_function(2733) on 2010-03-24 16:50:46 (Show Source):

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This is called factoring, which is not listed.
n^2 - 6n - 27 = (n - 9)(n + 3)

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