Mt. Calvary's budget for a swing set to be built for the Children's Church is $900. If the cost of the swing set should be at least one-fourth as much as the fort, how much can be spent on the fort and still build the swing set?

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

Answer:

each chair weighs 6 lbs and the crate weighs 18 lbs.

Step-by-step explanation:

The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

let, each chair weigh = x

and, the crate weigh = y

so, we get,

the equations as:

8x + y = 66 ....(1)

11x + y = 84 ....(2)

now, solving this two equations,

we get,

subtracting (2) - (1),

3x = 18

or, x = 6

so, we have,

y = 18

Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

To learn more on equation click:

brainly.com/question/24169758

#SPJ3

Answer:

5 for the green box and 9 for the purple one

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

2x - 2y = 2

5x + 2y = 12

2x + 5x = 7x

-2y + 2y = 0

2 + 12 = 14

7x = 14

7x/7 = 14/7

x = 2

2x - 2y = 2

2(2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

(2,-3) thats where they intersect

and also that the answer

Step-by-step explanation:

Answer:

A.) False

Step-by-step explanation:

The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.

Answer:

I think it's actually True

Step-by-step explanation:

The triangle proportionality theorem can apply to all triangles, because if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. This situation does not just apply to right triangles.

Answer:

The discount is $8

Step-by-step explanation:

Step one

Given data

Jane paid $40 for an item after she received a 20% discount.

Required

The initial cost of the item

Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows

Let the initial cost be x

so

20% of 40

20/100*40

=0.2*40= $8

Therefore the discount is $8

hence the original price is

discount+ discounted sale(amount paid)

=8+40

=$48

Answer:

n7 is y

Step-by-step explanation:y

Answer:

Dude like I just answered the previous question. Try doing it by yourself. Lol

m<1:51, m<2:39, m<3:90

Answer:

The first one

Step-by-step explanation:

I think that for you to convert miles to feet you would need to cancel out miles which means miles goes in the bottom. I'm not sure though

Answer:

[tex]y = \frac{5}{8} + x[/tex]

Step-by-step explanation:

Given

[tex]Kiran = x[/tex]

[tex]Andre = y[/tex]

[tex]Andre = \frac{5}{8}\ minutes\ more[/tex]

Required

Write an equation that represents the scenario

[tex]Andre = \frac{5}{8}\ minutes\ more[/tex] means that Andre read 5/8 minutes more than Kiran and this can be represented as:

[tex]Andre = \frac{5}{8} + Kiran[/tex]

Substitute x for Kiran

[tex]Andre = \frac{5}{8} + x[/tex]

Substitute y for Andre

[tex]y = \frac{5}{8} + x[/tex]

Answer:

Β. ΔEFH, ΔEGF, ΔFGH

Answer:

I belive the answer is b

Step-by-step explanation:

hope this helps !!!

49 bruuuuuuuuuuuuuuuuuuuuuuuuh

Answer:

-3/2

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

3-5/3-1

-3/2

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

Answer:

x=40°

Step-by-step explanation:

Since anges are vertical By Vertical Opposite angle property of Intersecting Lines

HOPE IT HELPS YOU.MARK ME AS BRAINIEST

Answer:

-5,4

Step-by-step explanation:

Answer:

y=3/4x-5

Step-by-step explanation:

look at the image I attached

Answer:

[tex]x=4\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a 45°-45°-90° triangle. Use the following rule:

[tex]leg=leg\\\\hypotenuse=leg*\sqrt{2}[/tex]

The length of the legs is 4. Insert this value into the equation:

[tex]h=4*\sqrt{2}[/tex]

Simplify:

[tex]h=4\sqrt{2}[/tex]

:Done

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

Step-by-step explanation:

Answer:

5,15

Step-by-step explanation:

For mixed fractions, mutiply the bottom and add the top Ex: 1x4=4 and 4+1=5 hence 1 1/4 being 5/4 and the second you just mulitply. 3X5=15 4X5=20 or 15/20.

Answer:

F = [tex]\frac{k}{d^2}[/tex]

Step-by-step explanation:

The equation of proportionality is

F = k × [tex]\frac{1}{d^2}[/tex] = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion

Answer:

20 percent

Step-by-step explanation:

Just divide 100 by 65 and multiply that number by 13.

Answer:

20%

Step-by-step explanation:

This is the answer because:

1) Convert the fraction to a decimal, then multiply by 100:

13 x 100 ÷ 65 = 20

Therefore, the answer is 20%

Hope this helps! :D

Answer:

it's not proportional ...

please thnx my answer..

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Answer:

Can not be determined

Step-by-step explanation:

In order to find the value of y for x = 4 you need to have a relation between x and y, which is not given. So you can't determine the value of y.

Answer:

60ft3

Step-by-step explanation:

Volume = length * breadth * height

= 3 * 4 * 5 = 60 (cubic ft)

Answer:

5/8 is greater

Step-by-step explanation:

hope that helps