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maxonik [38]
3 years ago
13

If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

Given  

if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form

We need to find the ratio p:q:r

Given p:q = 2/3 : 3 = 2/3 / 3  = 2/9

and p : r = 3/4 : 1/2 = 3/4 / 1/2  = 3/2  

Now p/q = 2/9 and p/r = 3/2

We need to make p equal numerators so we get

p/q = 2/9 x 3/3 = 6/27 and

p/r = 2/3 x 3/2 = 6/4

Therefore p : q : r = 6 : 27 : 4

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Finger [1]
The sum of all angles in an octagon is given by

180*(n-2) >>>>>>>>>with n = 8

180*(8-2) = 1080 degrees

A + B = 1080 .......where

A
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B equals the sum of the other seven angles

If we assume each angle of B is equal to each other, then

B = x+x+x+x+x+x+x = 7x
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And A = 2x

The equation that results is 

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5 0
3 years ago
At a bus station, buses begin their routes at 6.am. The schedule for two of the buses is based on time intervals listen below-
Anastaziya [24]

Answer:

Part A: The two buses leave the bus station at 7 : 15 am

Part B: The steamboat travels 25 miles per hour

Step-by-step explanation:

* Lets explain how to solve the problem

<u><em>Part A</em></u>

- Buses begin their routes at 6 am at a bus station

- Bus A leaves every 75 minutes

- Bus B leaves every 15 minutes

- We want to know the next time Bus A and Bus B will leave the bus

  station at the Same time

# Bus A

∵ Bus A leaves every 75 minutes

- Lets change 75 minutes to hours and minutes

∵ 1 hour = 60 minutes

∴ 75 minutes = 75/60 = 5/4

- Change 5/4 to mixed number

∵ 5/4 = 1 1/4

∴ 75 minutes = 1 1/4 hours

- Lets change 1/4 hour to minutes

∴ 1/4 × 60 = 15 minutes

∴ 75 minutes = 1 hour and 15 minutes

∵ Bus A leaves the station at 6 am

- Add 1 hour and 15 minutes to that time

∵ 6 + 1 : 15 = 7 : 15

∴ Bus A leaves the station nest time at 7 : 15 am

# Bus B

∵ Bus B leaves every 15 minutes

∵ Bus B leaves the station at 6 am

- Add 15 minutes to 6 am

∴ Bus B leaves the station next time at 6 : 15 am

- Add another 15 minutes for next time

∴ Bus B leaves the station next time at 6 : 30 am

- Add another 15 minutes for next time

∴ Bus B leaves the station next time at 6 : 45 am

- Add another 15 minutes for next time

∵ 15 + 45 = 60 ⇒ add 6 by 1 because 60 minutes = 1 hour

∴ Bus B leaves the station next time at 7 am

- Add another 15 minutes for next time

∴ Bus B leaves the station next time at 7 : 15 am

- The 2 buses leave the station at the same time again at 7:15 am

* The two buses leave the bus station at 7 : 15 am

<em><u>Part B</u></em>

- It takes a steamboat 12 hours to travel 300 miles

- We need to find how many miles it travels per hour

∵ The steamboat travels 300 miles in 12 hours

- Divide the distance by the time to find its rate

∵ 300 ÷ 12 = 25

- That means it travels 25 miles per hour

∴ The steamboat travels 25 miles per hour

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3 years ago
Which table represents a linear function?
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Answer:

x is the linear function table

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For two months, Milan used the same landscaping maintenance company. The company had a fixed reservation rate per month, plus an
Daniel [21]

Answer:

The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025

Step-by-step explanation:

The first bill amount for 2.75 hours of  landscaping work = $120.75

The second bill amount for 5.25 hours of  landscaping work = $160.50

No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour

So, we will us two point slope form to find the equation:

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

(x_1,y_1)=(2.75,120.75)\\(x_2,y_2)=(5.25,160.50)

Substitute the values in the formula

y-120.75=\frac{160.50-120.75}{5.25-2.75}(x-2.75)\\y=15.9x+77.025

Hence  the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025

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3 years ago
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