What equation could represent the situation?

an online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a dvd player for which a

katen-ka-za [31]

Answer:

The weight is 9 lbs

Step-by-step explanation:

flat fee + price per found * pounds = total charge

6.99 + .55 * p = 11.94

Subtract 6.99 from each side

6.99 + .55 * p - 6.99= 11.94-6.99

.55p =4.95

Divide each side by .55

.55p/.55 = 4.95/.55

p =9

The weight is 9 lbs

3 0

3 years ago

if a rectangle is twice as long as it wide and has a perimeter of 48 inches, what is the area of the rectangle

luda_lava [24]

Answer: 128 $in^{2}$

Step-by-step explanation:

Let the width be W then the length will be 2W since it is twice as long as it width.

The formula for calculating the perimeter of a rectangle is given by :

P = 2 ( L + W )

48 = 2 ( W + 2W )

48 = 2(3W)

48 = 6W

Divide through by 6

Therefore:

W = 48/6

W = 8 inches

This means that the Length is 2 x 8 = 16 inches

Area = Length x breadth

Area = 16 x 8

Area = 128 $in^{2}$

4 0

3 years ago

A polling organization is asking a sample of U.S. Adults how many pets they own. The frequency distribution below shows the resu

fiasKO [112]

Answer:

The probability that the next person asked has two pets is 0.176

Step-by-step explanation:

The given parameters are;

The frequency distribution of the number of pets owned is presented as follows;

Number of Times ${}$ Frequency ${}$

None ${}$ 354

One ${}$ 981

Two ${}$ 352

Three ${}$ 200

Four ${}$ 113

The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176

Therefore, the probability that the next person asked has two pets = 0.176

7 0

3 years ago

The amount of Q of water emptied by a pipe varies directly as the square of the diameter d. A pipe 9 inches in diameter will emp

yan [13]

64 gallons of water are emptied in the same amount of time by a pipe that is 4 inches in diameter

Step-by-step explanation:

Direct variation is a relationship between two variables in which one is a constant multiple of the other

If y direct variously with x, then y ∝ x
The equation of variation is y = k x, where k is the constant of variation
You can find the constant of variation by using the initial values of x and y

∵ The amount of Q of water emptied by a pipe varies directly

as the square of the diameter d

- That means Q is varies directly with square d

∴ Q ∝ d²

∴ Q = k d²

∵ A pipe 9 inches in diameter will empty 324 gal of water over

a fixed time period

∴ d = 9 and Q = 324

- Substitute them in the equation above to find k

∵ 324 = k(9)²

∴ 324 = 81 k

- Divide both sides by 81

∴ 4 = k

- Substitute the value of k in the equation of variation

∴ Q = 4 d² ⇒ equation of variation

∵ The diameter of a pipe is 4 inches

∴ d = 4

- We need to find the amount of water are emptied in the same

amount of time by the pipe

∵ Q = 4(4)²

∴ Q = 64 gallons

64 gallons of water are emptied in the same amount of time by a pipe that is 4 inches in diameter

Learn more:

You can learn more about the direct variation in brainly.com/question/10708697

#LearnwithBrainly

5 0

4 years ago

What is the arc measure of ACB on circle P in degrees?

Fudgin [204]

Answer:

286°

Step-by-step explanation:

The total of arc measures around the circle is 360°. Short arc AB is 74°, so the remaining arc ACB is 360° -74° = 286°.

arc ACB is 286°

3 0

3 years ago