How are ratios used in everyday life?

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Answer 1

Answer: miles per gallon uses ratios. Say your car was doing 80 miles for 4 hours. You would have the ratio 80;4 and you need to find the miles per 1 hour

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Here I have attached a photo to help you with this:

A cone and cylinder have the same height and the same base radius. If the volume of the cylinder is 81 cm^3 what is the volume of the cone in cm^3?A) 9
B) 27
C) 78
D)243

Answers

Answer:

The volume of the cone is $27cm^3$

Step-by-step explanation:

We know that formulas

Volume of cylinder is

$V_1=\pi r^2 h$

Volume of cone is

$V_2=(1)/(3)\pi r^2 h$

we are given

A cone and cylinder have the same height and the same base radius

So, both will have same radius and height

now, we can find ratios

$(V_2)/(V_1)=((1)/(3)\pi r^2h )/(\pi r^2h)$

now, we can simplify it

$(V_2)/(V_1)=(1)/(3)$

we are given

the volume of the cylinder is 81 cm^3

so, $V_1=81$

now, we can plug it and solve for V2

$(V_2)/(81)=(1)/(3)$

$81* (V_2)/(81)=81*(1)/(3)$

$V_2=27$

So, the volume of the cone is $27cm^3$

after five tests, Mike's average score is 91. After 6 tests, his average score was 89. what was his score, on the sixth test?

Answers

( x 1 + x 2 + x 3 + x 4 + x 5 ) / 5 = 89 Multiply both sides by 5

x 1 + x 2 + x 3 + x 4 + x 5 = 89 * 5 = 445

( x 1 + x 2 + x 3 + x 4 + x 5 + x 6 ) / 6 = 90

( 445 + x 6 ) / 6 = 90 Multiply both sides by 6

445 + x 6 = 6 * 90 = 540

x 6 = 540 - 445 = 95

Final answer:

Mike's score on the sixth test can be found by subtracting the total score after five tests from the total score after six tests (534 - 455), which yields a score of 79.

Explanation:

In order to solve this problem, we need to understand how averages work. The total score after five tests is 91*5, which amounts to 455. After the sixth test, the total average dropped to 89. To find the total score after six tests, you multiply 89*6, which gives us 534. The score for the sixth test can be found by subtracting the total score after five tests from the total score after six tests. So, 534 - 455 = 79. Therefore, Mike scored 79 on his sixth test.