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3 years ago

9

The employees at the zoo gift shop earn commission for every stuffed animal they sell. An employee sold $880 worth of merchandis

e and earned $264 in commission. What percent commission did the employee earn?

2 answers:

Inga [223]3 years ago

7 0

The answer will be 232,320. Hopes THIS HELPS :)

Elis [28]3 years ago

5 0

264/880 = .3

.3 = 30%

30% is your answer

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

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3 years ago

Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then

inn [45]

Answer:

1.Equation ----- 8x=12

2. x=1.5

3. cost of a single song is $1.5

4.$12 gift card will download 8 songs

Step-by-step explanation:

The amount of money the gift card holds is $12

Number of songs bought= 8 songs

Let the cost of a single song to be =$x

The cost of 8 songs will be =$x × 8=$ 8x

So the 8 songs will all cost $12

This means; $ 8x = $12

Equation------ 8x=12

Finding cost of a single song

8x=12------------------divide by 8 both sides

x=12/8------------------simplify

x=3/2 = $ 1.5

Checking for solution

if a single song costs $1.5 , who many songs can a gift card with $12 download?

Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.

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3 years ago

Write the sum of 5x2 + 2x - 10 and 2x2 + 6 as a polynomial in standard form.

vaieri [72.5K]

Answer:

7x^2+2x-4

Step-by-step explanation:

a standard form is ax+by=c

5x^2 add 2x^2=7x^2 then -2x but when you have a -10 +6 you get -4 giving you the answer of 7x^2 +2x -4

7 0

3 years ago

Read 2 more answers

Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in

lutik1710 [3]

Answer: 12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together

$\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}$

i.e. $\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{6-5}{12}$

i.e. $\dfrac{1}{t}=\dfrac{1}{12}$

i.e. t= 12

Hence, Francisco would take 12 hours to paint one room on his own.

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3 years ago

The data obtained from a random sample of track athletes showed that as the foot size of the athlete decreased, the average runn

Rufina [12.5K]

Answer:

The correct option is;

(3) The sample of track athletes show that there is a correlation between foot size and running speed

Step-by-step explanation:

The statements are analysed as follows;

(1) Smaller foot sizes cause track athletes to run slower.

The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes

(2) The sample of track athletes shows a causal relationship between

foot size and running speed.

The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement

(3) The sample of track athletes shows a correlation between foot size

and running speed.

The above statement is correct as is directly supported by the data as it is a statement made based directly the data

(4) There is no correlation between foot size and running speed in

track athletes.

The above statement is not supported by the available data.

3 0

3 years ago