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2 years ago

A table measures x+4 inches long and 5x+12 inches wide. What is the perimeter of the table?

Mathematics

1 answer:

tangare [24]2 years ago

5 0

Answer:

P = 12x +32

Step-by-step explanation:

The perimeter is found by using the formula

P =2(l+w)

We know the length and the width

P = 2(x+4 + 5x+12)

Combine like terms

P = 2(6x+16)

Distribute

P = 12x +32

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Answer:

It will take 5 hours for the bakery to bake 1000 loaves.

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2 years ago

For what values of x will 8+x to the third power be negative

Ganezh [65]

(8+x)^3 < 0

take the cube root

8+x <0

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3 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

$A = \pi r^2$

where r is the radius of the circle.

Putting values, we get,

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Thus, the sprinkler can spread water 18 feet away.

6 0

3 years ago

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Katy has 46 missing assignments in math class and 60 missing assignments in history. She has 106 missing assignments in total. K

guapka [62]

Answer:

She needs to do at least 8 a day

Step-by-step explanation:

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2 years ago

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Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s

Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

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2 years ago

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