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DochEvi [55]
3 years ago
13

How do you do this problem? Explain.

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2)                     Remove the brackets

3.25x = 7 + 3x - 6                       Collect terms on the right

3.25x = 3x + 1                              Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1               Combine

0.25x = 1                                     Divide by 0.25

0.25 x/0.25 = 1 / 0.25            

x = 4 hours.


 

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You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac
andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = \frac{Diameter}{2}=\frac{9}{2}=4.5\ cm

Height of cups = 12 cm

We will find volume of cup.

Volume = \frac{1}{3}\pi r^2h\\

Putting all the values

Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

4 0
2 years ago
From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

4 0
2 years ago
Would I add them all toghether or minus them
Nataly_w [17]
You want the average?
add them all together and then divided by the number of events
5 0
3 years ago
What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?
AnnyKZ [126]
Length of arc  = (15/360) * 2*3.14*20  =   5.23  ins

circumference of the circle = 2*3.14*24 = 150.72

angle at center  from 10 ft arc  = (10/150.72)  * 360  = 23.89 degrees


6 0
3 years ago
Read 2 more answers
What is the value of y
guajiro [1.7K]

Answer:

<h2>              y = 5.6</h2>

Step-by-step explanation:

From Thales' theorem:

                                        \dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6

5 0
3 years ago
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