5. The length of a rectangle is 3 inches less than its width. If the
perimeter is 74 inches, find the dimensions of the rectangle.

For 180 miles of driving the two plans will cost the same, at a price of $84.

1 - Set up the system of equations

Let x represent the miles driven

Let y represent the cost

First Plan:

y = $48 + $0.20x

Second plan:

y = $57 + $0.15x

Note that both are set equal to y, that means we can substitute y in one equation with the other equation because y = y

2 - Substitute

$57 + $0.15x = y = $48 + $0.20x

$57 + $0.15x = $48 + $0.20x

3 - Get the variables on one side and the constants on the other and then get x alone

 $57 + $0.15x = $48 + $0.20x

- $48                 - $48

   $9 + $0.15x = $0.20x

         - $0.15x  - $0.15x

                  $9 =  $0.05x

           $9/0.05 = $0.05x/0.05

                    x = 180 Miles

"For what amount of driving do the two plans cost the same?

For 180 miles of driving the two plans will cost the same.

4 - Plug 180 in for x in either equation and solve to find the cost at which they equal

y = $48 + $0.20x

y = $48 + $0.20(180)

y = $48 + $36

y = $84

"What is the cost when the two plans cost the same?"

$84 is the cost when the two plans cost the same

Hope this helps

Answer:

that would be if you were to rounded you 9,302 it would = 10,300 cuz

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

180 - (53 + 60) = 67

Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further

Answer:

1. A

2. C

3. A

Explanation:

5x+(-2)=6x+4

-5x -5x

(-2)=1x+4

-6=x

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

Answer:

A rotation 90 degrees clockwise

Step-by-step explanation:

Answer:

2x+4y=8

x+2y=4

2(x+2y=4)

2x+4y=8

Answer:

hi! so for perpendicular it's negative reciprocal!

so is -4/3 and 3/4 negative reciprocals?

oh and remember reciprocals are flipped!

if you still don't get it let me know aha

Answer:

True

Step-by-step explanation:

e Whenever you need to find the slope of a line, it is always the reciprocal with the opposite sign. For example, if your slope was 5, your slope to make it perpendicular would be -1/5. If you had the slope of -8/5, the perpendicular sope would 5/8.

Answer:

n<10

Step-by-step explanation:

Answer:

n=10 ,,,,,,,,,,,,,,,

Answer:

A. 5/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 5/15

Answer:

42ft

Step-by-step explanation:

I think

Answer:

TQ=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

my name is jeff so i am the answer to the glitching system located within the matrix of my virtual unkept consistencies of

Answer:

Not sure it's either B. or D I put B.

Step-by-step explanation:

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

According to mathematics, an arithmetic operation is commutative if switching the operands' positions has no effect on the computation's outcome.

When two numbers A and B are provided, the commutative property of the numbers formula is as follows:

A+B=B+A

A×B=B×A

A-B≠B-A

A÷B≠B÷A

According to the commutative property formula, the outcome is unaffected by the sequence in which two integers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, thus it cannot be altered.

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

such that the evaluation becomes easier, which is to get 12×1/3=4.

The commutativity property is used as follows:

-12×(13×1/3)=-12×(1/3×13)

Learn more about commutativity property from-

brainly.com/question/778086

#SPJ2

Answer:

B(−6,4), D (−5,−4)

Step-by-step explanation:

Thats the answer to it!

Answer:

wait what's the question?

Answer:

You would have 200 points

Step-by-step explanation:

-450+150+200=200

Answer:

C

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

210 divided by 7 = 30

30 x 3 = 90

Answer:

200020ft

Step-by-step explanation:

Answer:

0.1 is rational as it can be written as [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Rational decimals can be expressed as a fraction using integers, and 0.1 = [tex]\frac{1}{10}[/tex], so it is rational.

Answer:

There are various ways of writing 0.1

1/10

110

10%

Those are some ways for writing 0.1

Step-by-step explanation:

Answer:

(-10×3) + 8 = -22

Answer:

37

Step-by-step explanation:

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

Answer:

-7

Step-by-step explanation:

2x + 3 = x - 4

so you first add four to both sides of the equal sign:

2x + 3 = x - 4

    + 4       + 4

making the equation:

2x + 7 = x

you now subtract 2x from both sides:

2x + 7 = x

-2x       - 2x

to get:

7 = -1x

you then divide both sides by -1:

7/-1 = -1x/-1

to get:

-7 equals x or x = -7

Answer:

The answer is 5

Step-by-step explanation:

if coorect mark brainliest

Given:

Marginal revenue (in dollars per unit) for a month is

[tex]MR=-0.5x+400[/tex]

To find:

The total revenue from the production and sale of 30 units.

Solution:

We know that, total revenue is integration of marginal revenue with respect to quantity.

[tex]TR=\int MR dx[/tex]

[tex]TR=\int (-0.5x+400) dx[/tex]

[tex]TR=-0.5\int x dx+400\int 1 dx[/tex]

[tex]TR=-0.5\times \dfrac{x^2}{2}+400x[/tex]

Now, substitute x=30 in the equation of Total Revenue (TR).

[tex]TR=-0.5\times \dfrac{30^2}{2}+400(30)[/tex]

[tex]TR=-0.5\times \dfrac{900}{2}+12000[/tex]

[tex]TR=-225+12000[/tex]

[tex]TR=11775[/tex]

Therefore, the total revenue from the production and sale of 30 units is $11,775.

Answer:

one

Step-by-step explanation:

they meet at only one point, thus their system of equations has as solution only those coordinates.

Answer:

Answer: SSS

Step-by-step explanation:

Triangle congruence

We need to find out if triangles ABC and DCB are congruent.

The image shows one tick mark on sides AC and BD, thus they are congruent.

Two tick marks are shown on sides AB and CD, thus they are congruent.

Finally, both triangles share the side BC.

Being all three sides congruent, the triangles are congruent by the SSS (side-side-side) congruence theorem.

Answer: SSS