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elena-14-01-66 [18.8K]
3 years ago
6

When people buy wood to burn in a stove they purchase it in units of cords ( stacks that are 128 cubic feet).Camilla had 3 cords

of wood delivered and stacked. She noticed that the people stacking the wood could stack 3/10 of a cord in 2/5 of an hour. What is the rate they are stacking the wood in cords per hour?
Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

Step-by-step explanation:

Formula

r = amount / time

Givens

amount = 3/10

time = 2/5

Solution

r = 3/10 // 2/5

Invert the denominator (2/5) and multiply rather than divide.

r = 3/10 * 5/2    Cancel 5 into the 10

r = 3/2 * 1/2

answer: r = 3/4 chord / hour

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Answer:

43.96 inches

Step-by-step explanation:

(refer to attached)

circumference = 2πr, where r = 7 inches and π=3.14

circumference = 2 x 3.14 x 7

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Find the LCM of 12 and 18
Ipatiy [6.2K]

Answer: 36

Step-by-step explanation: To find the least common multiple or <em>lcm</em> of 12 and 18, begin by listing the first few multiples of each number.

<em>Multiples of 12</em>

1 × 12 = 12

2 × 12 = 24

3 × 12 = 36

Notice that we skipped 0 × 12 in our list of multiples. That's because 0 × 6 is 0 and our least common multiple can not be 0.

When listing the multiples of 18, it's a good idea to keep an eye on the list of multiples for 12 so that we will notice when we find a least common multiple.

<em>Multiples of 18</em>

1 × 18 = 18 ← is not multiple of 12

2 × 18 = 36 ← is a multiple of 12

Notice that we can stop here because all other multiples that we find will be greater 36. So the least common multiple of 12 and 18 is 36.

5 0
3 years ago
What is the solution to the system? x + y = 4 x+y=1​
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<u>Given</u><u> </u><u>:</u>

  • x + y = 4
  • x + y = 1

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u>

  • The value of x and y.

<u>Answer</u><u> </u><u>:</u>

  • x + y = 4 ....[Equation (i)]
  • x + y = 1......[Equation (ii)]

<u>Adding</u><u> </u><u>eqⁿ (ii) </u><u>and</u><u> eqⁿ (i) we get :</u>

→ x + y + x - y = 4 + 1

→ 2x = 5

→ x = 5/2

→ x = 2.5

<u>Now</u><u>,</u><u> </u><u>put</u><u> </u><u>the</u><u> </u><u>value </u><u>of</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>/</u><u>2</u><u> </u><u>in</u><u> </u><u>eqⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>

→ x + y = 4

→ 5/2 + y = 4

→ y = 4 - 5/2

→ y = 1.5

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