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ddd [48]
3 years ago
15

If car can travel 50 miles in 55 minutes, how long will it take to travel 75 miles ?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
First of all, if you are traveling more, then you will have to take more time to get there. So since the answer A is less than the original number 50 you can rule that choice out. Now to solve, you will put 50 over 55 such as this 50/55. This represents miles/minutes. So next you will put 75/x since we are trying to solve for x (minutes). Now our problem looks like this 50/55 times 75/x. To solve the answer you will need to cross multiply. You will multiply 75 and 55 together to get 4,125. (This will be your numerator, or top number) Next you will multiply 50 and x, this gives you 50. (This will be your denominator, or bottom number. Now you have 4,125/50. Divide your two numbers and you get 82.5! The answer is D. 82.5! Hope I helped!
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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini
Trava [24]
The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)
5 0
2 years ago
Read 2 more answers
How do you multiply(2x+3)(x-7)
kompoz [17]

Answer:

2x(x-7)+3(x-7)

2x²-14x+3x-21

2x²-11x-21

6 0
3 years ago
A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu
yaroslaw [1]

Answer:

Volume of the rolling pin =  246.09 in^{3}  

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 (\pi r^{2}L)

Volume of two handles =  2 (3.14 × 0.75^{2} × 3 )

Volume of two handles = 10.59 in^{3}  

Volume of larger cylinder = (\pi r^{2}L)

Volume of larger cylinder = (3.14 × 2.5^{2} × 12 )

Volume of larger cylinder = 235.5 in^{3}  

Volume of the rolling pin =  10.59 + 235.5

Volume of the rolling pin =  246.09 in^{3}  

6 0
3 years ago
What is the difference between arctan and inverse tan?
boyakko [2]
Hello,
It is not the same function.

arctan (tan(x))=x

1/tan(x) * tan(x)=1

in the file jointed,
 arctan x is in blue
1/tan x in red.

5 0
3 years ago
Read 2 more answers
Estimate the number of pints in 445 ounces
Contact [7]

Answer:

To find how many pints are in ounces multiply the ounce value by the conversion factor.

1 ounces =  \frac{1}{16} = 0.0625 pint

Given: 445 ounces

Convert 445 ounces into pints multiply 445 to 0.0625.

we have

445 \times 0.0625 =27.8125 pints

Therefore, the estimate number of pints in 445 ounces is, 28 pints

3 0
3 years ago
Read 2 more answers
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