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r-ruslan [8.4K]
2 years ago
10

The length of a rectangle is 5 inches shorter than double its width. The perimeter of the rectangle is 192 inches. Write a two-s

tep equation to represent the perimeter of this rectangle:
Mathematics
1 answer:
alukav5142 [94]2 years ago
8 0

Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

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kupik [55]

9514 1404 393

Answer:

  A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x

  B) see attached graph

Step-by-step explanation:

A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).

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3 0
3 years ago
EASY, ASAP!
Lady bird [3.3K]

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x <em>- 16 </em>+ <em>81 </em>+ 16x +<em> 10</em> + 15x + <em>30</em>

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

--------------------------------------------------

This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are <em>very </em>easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

<em>Easy!</em>

x + 6 = 7x

6 = 6x

1 = x

<em>Are you kidding me? This is easy stuff, kid.</em>

--------------------------------------------------

In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

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That will be all, ya boi Keith.

4 0
3 years ago
Multiplying length by width by height gives the volume of a ______ prism.
elena-s [515]

Answer:

The answer is Rectangular

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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o-na [289]

Answer:

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Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

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S'(2) is found by applying t=2 to S'(t):

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Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

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-84 is a real number, a rational number, and an integer
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