The formula for perimeter of a rectangle is given by p = 2l + 2w, where p = perimeter, l = length, and w = width. solve the formula for w.

Answers

Answer 1

Answer: Perimeter formula
p = 2l + 2w

I reverse left-right side
2l + 2w = p

Move 2l to the right
2l + 2w = p
2w = p - 2l

Move 2 to the right
2w = p - 2l
w = (p - 2l)/2

Summary
p = 2l + 2w
2l + 2w = p
2w = p - 2l
w = (p-2l)/2

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Persons younger than 18 years old are not eligible to vote. Let a be age in years. Which inequality models this situation?

A.
a < 18 and a may be a negative number

B.
a < 18 and a must be a positive number

C.
a > 18 and a may be a negative number

D.
a > 18 and a must be a positive number

Answers

D 18 and must be a positive number

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.

Answers

For this case we have the following variables:

h: Cost of each hamburger bought by Jana and her friend

f: Cost of each order of potato chips bought by Jana and her friend

b: Cost of each milkshake

If you bought 4 hamburgers, 3 orders of potatoes and 2 milkshakes, you have a cost of:

$Cost = 4h + 3f + 2b$

It is known that each shake costs $ 3, so $b =3$ $

Substituting we have:

$Cost = 4h + 3f + 2 * 3$

$Cost = 4h + 3f + 6$

Thus, the total cost is given by:

$Cost = 4h + 3f + 6$

Answer:

$Cost = 4h + 3f + 6$

Option C

I believe the correct answer is C

what is the multiplicative rate of change of the function shows on the graph? Express your answer in a decimal form round to the nearest tenth. pllzzz the picture is there

Answers

The formula to get the multiplicative rate of change is this:
[ f(x2) / f(x1) ] / (x2 - x1)
or
(y2 / y1) / (x2 - x1)

Choosing of the coordinates (-1, 0.8) and (0,2)
MRC = 2/0.8 / (0-(-1)) = 5/2

Using the other coordinates (0,2) and (1,5)
MRC = 5/2 / (1-0) = 5/2

The MRC will be constant per interval.

Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.
B) números racionais maiores que -7/8 e menores que -3/4

Answers

A números irracionais maiores que 3,5 é menores que 3

Two systems of equations are shown below:System A:
6x+y=2
-x-y=-3
System B:
2x-3y=-10
-x-y=-3
Which of the following statements is correct about the two system equations?

A) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.

B) They will have the same solution because the first equations of both the systems have the same graph.

C) They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.

D) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding -4 to the first equation of System A and the second equations are identical.

Answers

System A:
6x + y = 2
-x - y = -3

System B:
2x - 3y = -10
-x-y = -3

Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2 System A: x = -1/5 or -0.2 ; y = 3 1/5 or 3.2

System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2 System B: x = -0.2 ; y = 3.2

B) They will have the same solution because the first equations of both the systems have the same graph.

Answer: I just took the test and got it wrong when I put B, the correct answer is C.

Step-by-step explanation:

Mixed Review for Finding SlopeCalculate the slope of the line that contains the following points. Leave answers as fractions - BUT reduce
your fractions as much as possible!!!!!!! SHOW ALL WORK!!!
1) (4,5) and (-4,3)
2) (-2,-4) and (6,7)
3) (2, -4) and (10,12) 4) (1/2,2) and (1,2/3) 5) (1/4,5) and (5/4,12)