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Bad White [126]
4 years ago
9

Find the volume of the composite figure. Round to the nearest tenth. Remember your units.

Mathematics
1 answer:
bogdanovich [222]4 years ago
7 0
We know that
[volume of a prism]=pi*r²*h
then
[volume of the composite figure]=[pi*10²*15]-[pi*5²*15]-> [4710]-[1177.5]=3532.5 in³

the answer is
The volume of the composite figure is 3532.5 in³
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Simplify 5x(3x^2+2x-3)
Tcecarenko [31]

Answer:

15x^3 +10x^2 - 15x

Step-by-step explanation:

Hello!

Use the distributive property and multiply like terms.

<h3>Simplify</h3>
  • 5x(3x^2 + 3x - 3)
  • 5x(3x^2) + 5x(2x) + 5x(-3)
  • 15x^3 +10x^2 - 15x

The simplified form is 15x^3 +10x^2 - 15x.

4 0
2 years ago
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Murljashka [212]

Answer:

I think it is 2/ 15 pls mark as breanliest

3 0
3 years ago
Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type
Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80                              .                  .                 .    1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68               .                 .                  .        2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52            .                  .               .        3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0
3 years ago
Find the slope of the line passing through the points (7, 8) and (-7, 1). Show your work.
anygoal [31]

Answer:

The slope is \frac{1}{2}

Step-by-step explanation:

∵ The rule of the slope passing through 2 points is:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The points are (7 , 8) and (-7 , 1)

∴ m = \frac{1-8}{-7-7}=\frac{-7}{-14}=\frac{1}{2}

4 0
3 years ago
Which value is a solution to the inequality 2x − 5 &lt; −12?
aleksandr82 [10.1K]
The correct answer would be -4

explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4.
8 0
3 years ago
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