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2 years ago

8

The length of a rectangle is 3 cm more than four times the width (This will be your first equation. The second equation comes fr

om the perimeter formula below). If the perimeter of the rectangle is 56 cm, what are its dimensions?

1 answer:

Paul [167]2 years ago

3 0

Answer:

the width is 5 and the length is 23

Step-by-step explanation:

2x+2(4x+3)=56

10x+6=56

10x=50

x=5

4(5)+3=23

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Buster is a puppy who loves playing inside cardboard boxes. Buster's favorite box is shaped like a big cube and is thirty inches

Finger [1]

Answer:

27000 inches^3

Step-by-step explanation:

The volume of a cube is sidelength^3.

The side length is 30 inches, so the volume is 30^3 = 27000 inches^3.

8 0

2 years ago

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Alinara [238K]

The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)
$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\ \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34} \\ \\ 
x_1= \frac{-1820+ 566}{-34}= -37 \\ \\ 
x_2 = \frac{-1820- 566}{-34}=70$

Since, the youngest age is needed, the correct answer is x = 37

3 0

2 years ago

Can this be simplified any further?<br>15x^2+-27x

maria [59]

Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).

3 0

2 years ago

Three less than one-half a number is -71

morpeh [17]

3-1/2x=-71

when you solve it, the answer is 37

4 0

3 years ago

Read 2 more answers

Molly is thinking of a number. twice her number take away seven is the same as her number plus five. what is her number?

777dan777 [17]

Answer:

Number = 12

Step-by-step explanation:

2n-7=n+5 (+7 to both sides)

2n=n+12 (-n to both sides)

n=12

4 0

10 months ago