A package of modeling clay was shaped like a cone with a radius of 25 cm and a height of 7.2 cm. Miriam used all the clay to make a cylinder with a radius of 15 cm.What was the height of the cylinder? Express the answer to one decimal place and use 3.14 to approximate pi

Answers

Answer 1

Answer: $25^(2)$ * 3.14 * 7.2 * 1/3
=4710 $cm^(3)$
(x the height)
$15^(2)$ * 3.14 * x = 4710
706.5x = 4710
x=4710 divided by 706.5
=6.66666......
,
=6.6 cm

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8³ × 8 -5 the negative 5 is a exponent
5/25 = 13/?Can you please help me with this question.
How do you do this solve 5/2y=10 for y explain
Estimate the result by rounding the numbers to the second decimal before performing the operation. Then also round your answer to the second decimal.a) 2.3 x 0.12b) 8123 x 0.211c) 30.15 x 0.05d) 3.15 x 0.0318
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Classify the system and identify the number of solutions.2x + y + 5z = 4
3x − 2y + 2z = 2
5x − 8y − 4z = 1

Answers

Answer:

No solutions

Step-by-step explanation:

We need to eliminate one of the variables to solve the system. To do so, let's multiply the first equation by 8, the second equation by 4

2x + y + 5z = 4 (1) x 8
3x − 2y + 2z = 2 (2) x 4
5x − 8y − 4z = 1 (3)

The system becomes:

16x + 8y + 40z = 32 (1)
12x - 8y + 8z = 8 (2)
5x - 8y - 4z = 1 (3)

Add (1) and (2), subtract (3) from (2) to eliminate y

28x + 48z = 40 (4)
7x + 12z = 7 (5)

Then multiply the equation (5) by 4 to compare with(4)

28x + 48z = 28

Comparing the equations (4) and (5) we see it has no solutions as both variables have same coefficient but with different sum, 28≠40

Answer:

inconsistent; none

Carson went to pick apples at an orchard.he gave one-third of his apples to his friend Nathan.then he gave one-half of what he had to his friend Nikki.on his way home he dropped one-fourth if what he had left,so that he only had 9 for him and his family.how many apples did Carson pick originally?

Answers

Answer:

Step-by-step explanation:

Carson had x number of apples to start with.

He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.

He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.

On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.

(3/4) * (1/3)x = 9

3/12 x = 9

1/4 x = 9

x = 36

Answer: He picked 36 apples.

Check:

Start with 36 apples.

Give 1/3 to Nathan. Now Carson has 24 apples.

Give 1/2 to Nikki. Now Carson has 12 apples.

Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.

Hew only had 9 apples left, so 36 is correct.

Answer:

36 apples

Step-by-step explanation

Step 1 = he dropped 1/4 and was left with 9

Finding 1/3 one third of 9 = 3.

Then 9 +3 = 12

Step 2 He parted with 1/2 and was left with 12

12x2=24

Step 3 He parted with 1/3 and was left with 24

= 12+ 12 + 12 = 36 Where 1/3 of 36 = 24

Answer = 36

What does pi equal exactly

Answers

3.141562.... And it goes on and on and on

Well pi is an irrational number and it goes on forever. A simplified version is 3.14 but a lengthened (100 digit) version is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

A store sold 6 fruit trees five of the trees were apple trees what fraction of the trees were Apple trees?

Answers

5/6 of the trees were apple trees. (5 over 6)

the fraction would be 5/6 because there are 6 apple trees in all and 5 of those fruit tress are apple

Arthur is organising his collection of DVDs. He has 112 altogether.The ratio of comedy films to
action to horror is 6 : 7 : 3
How many of each type of DVD does he have?
Comedy
Action
Horror

Answers

Answer:

42 Comedy, 49 Action, 21 Horror

Step-by-step explanation:

6 comedy : 7 action : 3 horror = 16 parts or if you think of it as a fraction, 16 is the denominator and the numbers for each ratios are the numerators

112 (the total)/16 = 7 movies per part

6 parts of comedy = 6 x 7 = 42

7 parts action = 7 x 7 =49

3 parts horror = 3 x 7 = 21

Another way to think of it is:

(ex. comedy)

6/16=x/112

(CROSS MULTIPLY HERE)

16x=672

x=42

Simplify using the Laws of Exponents.

(6a2b6)3