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2 years ago

5

Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate board

s for $5.25 per hour with a rental fee of $25. Rate of change

1 answer:

NNADVOKAT [17]2 years ago

8 0

Answer: $\bold{13\dfrac{1}{3}\ \text{hours}}$

<u>Step-by-step explanation:</u>

Parabola Skate Rental: 4.50x + 35

Arc Hawk Skate Rental: 5.25x + 25

If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35 <em>subtracted 4.50x from both sides</em>

0.75x = 10 <em>subtracted 25 from both sides</em>

$x=\dfrac{1000}{75}$ <em>divided both sides by 0.75</em>

x = $13\dfrac{1}{3}$ <em>simplified the fraction</em>

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I'm confused I don't understand this??? Will give brainliest to whoever can help!

Nata [24]

Answer:

The Rome data center is best described by the mean. The New York data center is best described by the median

Step-by-step explanation:

Before moving forward, first we should understand that what is mean and median. Mean is the average of all the values in the data set. Median is the middle value of the data set in ascending order. As we noticed that there is an outlier in the data for NEW YORK (An outlier is an extreme value in the data set which is much higher or lower as compared to other numbers. It affects the mean value). Since outlier is found in the data of New York therefore mean is not a good representation on the central tendency of the data and gets distorted by the outlier. Therefore it is better to use median. While Rome does not have any outlier, so we can use mean for this.

Therefore we can say that the Rome data center is best described by the mean. The New York data center is best described by the median.

Thus option C is correct....

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2 years ago

Carly has 2 more nickels than dimes in her pocket. She has 40 cents. How many nickels does Carly have How many dimes does Carly

irga5000 [103]

She has 2 dimes and 4 nickels.
Knowing dimes equal 10 cents, if you have 1 dime and 3 nickels, you’d have 20 cents, 2 dimes and 4 nickels you’d have 40 cents. You have to have two more nickels than dimes.

8 0

2 years ago

Read 2 more answers

In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

so

the ratio is equal to

$\frac{16}{16} =1$

therefore

<u>the answer Part 1) is the option B</u>

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

<u>the answer part 2) is the option C</u>

$24\ units^{2}$

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2 years ago

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Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger

GenaCL600 [577]

Answer:

The five friends had 10 fingers to start with; one had two each

Step-by-step explanation:

The statement says each gave one of not all of his ginger in the toasting session.

4 0

2 years ago

Street sweeping vehicles can clean 3 miles of streets per hour. A city owns two street sweepers, and each sweeper can be used fo

Vanyuwa [196]

We know that
In a period of 4 hours (3 hours of work and 1 hour to refuel)
each street sweepers clean------> 3 miles*3 =9 miles

divide 18 hours by 4
18/4=4.5
4.5 is equal to 4 periods of 4 hours plus 2 hours

Multiply 4 by 9 miles
4*9=36 miles

in the period of 2 hours (<span>in this period there is no refuel)
</span>3*2=6 miles

each street sweepers clean in 18 hours-----> (36+6)-----> 42 miles
two street sweepers clean in 18 hours=2*42------> 84 miles

the answer is
84 miles

4 0

2 years ago