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Jet001 [13]
2 years ago
8

Jessica is a custodian at Oracle Arena. She waxes 20 m 2 20 m 2 20, start text, space, m, end text, squared of the floor in 3 5

5 3 ​ start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate. At this rate, how many square meters can she wax per hour?
Mathematics
1 answer:
ozzi2 years ago
8 0

Answer:

she can wax 33.33 m² of area per hour at the given rate

Step-by-step explanation:

Data provided in the question:

Area of the floor that Jessica waxes = 20 m²

Total Time taken to wax the area = \frac{3}{5} hours

Now,

The rate at which Jessica can wax per hour = \frac{\textup{Area she waxes}}{\textup{Total time taken to wax the area}}

or

⇒ The rate at which Jessica can wax per hour = \frac{\textup{20}}{\frac{3}{5}}  m²/hour

or

⇒ The rate at which Jessica can wax per hour =  \frac{\textup{20}\times5}{3}  m²/hour

or

⇒ The rate at which Jessica can wax per hour =  33.33 m²/hour

Hence, she can wax 33.33 m² of area per hour at the given rate

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You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
finlep [7]
The <u>correct answer</u> is:

9.2 ft.

Explanation:

The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}

We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7

First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7

Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0

It will be easier to work with this equation if we do not have fractions.  We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0

Now we rearrange the terms to the x term is in front:
6x+7y-49=0

This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.

Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
d=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}&#10;\\&#10;\\d=\frac{|6(6)+7(14)-49|}{\sqrt{6^2+7^2}}&#10;\\&#10;\\d=\frac{|36+98-49|}{\sqrt{36+49}}&#10;\\&#10;\\d=\frac{|85|}{\sqrt{85}}=\frac{85}{\sqrt{85}}=9.2&#10;
7 0
2 years ago
Eli is thinking of two numbers. If you add them, the answer is 13. If you subtract them, the answer is 3. What is one of the two
lesantik [10]
Substract 3 from the total and divide it with 2
one of them is 5 and the other one is 8.
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2 years ago
What are the removable discontinuities of the following function? f (x) = StartFraction x squared minus 36 Over x cubed minus 36
jeyben [28]

Answer:

the removal discontinuity of the following function at x=-6 or x=6.

Step-by-step explanation:

factoring  f(x)  = (x - 6)(x + 6)

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

                          x(x - 6)^x + 6)

3 0
2 years ago
Read 2 more answers
The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also
ValentinkaMS [17]

Answer:

When new, the scooter cost $900

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we have

A(t)=900(0.85)^t

This is a exponential function of the form

A(t)=a(b)^t

where

A(t) ----> represent the value of a motor scooter

t ----> the number of years after it was purchased

a ---> represent the initial value or y-intercept

b is the base of the exponential function

r is the percent rate of change

b=(1+r)

In this problem we have

a=\$900\\b=0.85

The base b is less than 1

That means ----> is a exponential decay function (is a decreasing function)

Find the percent rate of change

b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15

Convert to percentage (multiply by 100)

r=-15\% ---> negative means is a decreasing function

<u><em>Verify each statements</em></u>

<em>case A</em>) When new, the scooter cost $765.

The statement is false

Because the original value of the scooter was $900

case B) When new, the scooter cost $900

The statement is true (see the explanation)

case C) The scooter’s value is decreasing at a rate of 85%  each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

case D) The scooter’s value is decreasing at a rate of  0.15% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

8 0
2 years ago
First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days i
andreyandreev [35.5K]

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63

Her pulse on all the other days is 63.

4 0
2 years ago
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