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2 years ago

8

Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick dr

ink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *

1 answer:

AlexFokin [52]2 years ago

3 0

Answer: 1¹¹/₂₀ litres

Step-by-step explanation:

The fractions need to be added.

Find a common multiple for them.

Common multiple = 20

Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:

$= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}$

= 1¹¹/₂₀ litres

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Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
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r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

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The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

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1 year ago

Fill in the blanks:

ser-zykov [4K]

Answer:

$8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1$

So in blanks there will be 8, 9, 4, 3

Step-by-step explanation:

We have given that $8943=.....\times 1000+....\times 100+....10+....1=....10^3+....10^2+....10^1+....1$

We have to fill the blanks

We know that $8\times 1000=8000$

$9\times 100$

$4\times 10$

$3\times 1$

When we add all then

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So in the blanks there will be 8 , 9, 4 , 3

We also know that $8000=8\times 10^3$

$900=9\times 10^2$

$40=4\times 10^1$

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3 years ago

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$\huge\boxed{4x}$

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Cancel out the common factor of $125$ .

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