MATHEMATICS COLLEGE

Alice solved the following equation:-18 - 3x = 12
-3x = 6
x =-2

Which of the following statements is true?

Answers

Answer 1
Answer:

Answer:

the first line

Step-by-step explanation:

because the second line should be -3x=30

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22 - x/2 =14 ........

Answers

Answer:

x=16

Step-by-step explanation:

Angel Graham takes out a $150,000 mortgage. This is a 30-year at $725 per month. What is the total amount of interest that Angel will pay on this mortgage?Total Interest = $_____

Answers

Answer:

$111, 000

Step-by-step explanation:

Morgage amount is given as $150, 000

Repayment plan

Every month, Angel pays $725

Therefore, every year, Angel repays $725*12=$8700

The plan goes for 30 years hence

Total amount paid after 30 years will be $8700*30=$261, 000

Interest =Total payment-morgage value

Interest paid=261000-150000=111000

Therefore, total interest is $111, 000

2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?

Answers

Answer:

4/9 is left over.

Step-by-step explanation:

First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.

140,000 = 1.4 x 105
True
O False

Answers

Answer:

this is false. hope this helps

Answer:

False.

Step-by-step explanation:

1.4 x 105 = 147 which is not 140,000

A piece of rope there is 28 feet long is cut into two pieces. One is use to form a circle and others used to form a square. Write a function G representing the area of the square as a function of the radius of the circle R

Answers

The function g representing the area of the square as a function of the radius of the circle r is given as:

g(r) = 49 - 22r + (121r^2)/(49)

Solution:

Given that,

length of rope = 28 feet

Let "c" be the circumference of circle

Let "p" be the perimeter of square

Therefore,

length of rope = circumference of circle + perimeter of square

c + p = 28 ------- eqn 1

The circumference of circle is given as:

c = 2 \pi r

Where, "r" is the radius of circle

Substitute the above circumference in eqn 1

2 \pi r + p = 28

p = 28 - 2 \pi r ----------- eqn 2

If "a" is the length of each side of square, then the perimeter of sqaure is given as:

p = 4a

Substitute p = 4a in eqn 2

4a = 28 - 2 \pi r\n\na = (28 - 2 \pi r)/(4)\n\na = 7 - ( \pi r)/(2)

The area of square is given as:

area = (side)^2\n\narea = a^2

Substitute the value of "a" in above area expression

area = (7 - ( \pi r)/(2))^2  ------ eqn 3

We know that,

(a - b)^2 = a^2 - 2ab + b^2

Therefore eqn 3 becomes,

area = 7^2 -2(7)((\pi r)/(2)) + (( \pi r)/(2))^2\n\narea = 49 - 7 \pi r + ( (\pi)^2 r^2 )/(4)

\text{ substitute } \pi = (22)/(7)

area = 49 - 7 * (22)/(7) * r + ((22)/(7))^2 * (r^2 )/(4)\n\narea = 49 - 22r + (121)/(49) * r^2\n\narea = 49 - 22r + (121r^2)/(49)

Let g(r) represent the area of the square as a function of the radius of the circle r, then we get

g(r) = 49 - 22r + (121r^2)/(49)

Thus the function is found

An above-ground swimming pool in the shape of a cylinder has a diameter of 16 feet and a height of 5 feet. If the pool is filled with water to 1.5 inches from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?⇆

Answers

Answer is lots of god Which equation is the inverse of y = 100 – x2?








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