Write a numerical example of how multiplication and division by the same number undo each otherPlease help

Answers

Answer 1

Answer:

Answer:

2 x 4 = 8 / 4 =2

Step-by-step explanation:

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A family went to a baseball game. They parked the car in a parking lot which charged $15. The cost per ticket was $21. Write an equation for the total cost of going to the baseball game, where y is the total cost and x is the total number of people. If the family spent $99, how many people went to the game

Answers

y = 21x + 15
99 = 21x + 15
84 = 21x
x = 4
There are four people in the family!

Please help Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer is AAS hope this helps

Make x the subject of the formula $r = \sqrt{ (ax - p)/(q + bx) }$

Answers

Answer:

$\boxed{x = \frac{p + q {r}^(2) }{a - b {r}^(2) } }$

Step-by-step explanation:

$Solve \: for \: x: \n = > r = \sqrt{ (ax - p)/(q + bx) } \n \n </p><p>r = \sqrt{ (ax - p)/(q + bx) } \: is \: equivalent \: to \: \sqrt{ (ax - p)/(q + bx) } = r :\n = > \sqrt{ (ax - p)/(q + bx) } = r \n \n Raise \: both \: sides \: to \: the \: power \: of \: two: \n = > (ax - p)/(q + bx) = {r}^(2) \n \n Multiply \: both \: sides \: by \: (q + b x): \n = > ax - p = {r}^(2) (q + bx) \n \n Expand \: out \: terms \: of \: the \: right \: hand \: side: \n = > ax - p = q {r}^(2) + b {r}^(2)x \n \n Subtract \: b {r}^(2)x - p \: from \: both \: sides: \n = > x(a - b {r}^(2) ) = p + q {r}^(2) \n \n Divide \: both \: sides \: by \: a - b {r}^(2) : \n = > x = \frac{p + q {r}^(2) }{a - b {r}^(2) }$

(12x³+3x²-108)÷ (3x-6)
use long division to find the quotient below.

Answers

$( 12x^3+3x^2-108)/(3x-6) =(3(4x^3+x^2-36))/(3(x-2))=( 4x^3+x^2-9x^2+ 9x^2-36 )/( x-2 )=\n \n=(4x^3-8x^2+9x^2 -36)/( x-2 )=( 4x^2(x-2) +9(x^2 - 4))/( x-2 )=\n \n=( 4x^2(x-2) +9(x - 2)(x+2))/( x-2 )=( (x-2) [4x^2+ 9 (x+2)])/( x-2 )= \n \n=4x^2+ 9( x+2)=4x^2+ 9 x+18$

Molly's jump rope is 6 1/3 feet long. Gail's jump rope is 4 2/3 feet long. How much longer is Molly's jump rope?

Answers

If you would like to know how much longer is Molly's jump rope, you can calculate this using the following steps:

6 1/3 feet long - 4 2/3 feet long = 6 1/3 - 4 2/3 = 19/3 - 14/3 = 5/3 = 1 2/3

The correct result would be 1 2/3 feet longer.

Molly's jump rope is: 6 1/3 feet long
Gail's jump rope is: 4 2/3 feet long

The Question asks how much longer is Molly's jump rope than Gail's

Lets write it as an algebraic expression:

4 2/3 + x = 6 1/3

Next we should subtract 4 2/3 from both sides of the equation:

4 2/3 - 4 2/3 + x = 6 1/3 - 4 2/3
x = 2 -1/3

x is equal to two negative one third feet

Given the two expressions shown below:A. square root of 64 plus square root of 5
B. square root of 64 plus square root of 4

Which statement best describes the two expressions?

A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.

Answers

The statement that best describes the two expressions is
D. A is irrational, but B is rational

square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number

square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number

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