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kirza4 [7]
3 years ago
7

Katie had 4 full cement blocks and one that was 4⁄6 the normal size. If each full block weighed 3 2⁄4 pounds, what is the weight

of the blocks Katie has?
Please show how did you find your answer! Will put as brainliest and top answer!
Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

The weight of the block that Katie has is 16 1/3 pounds

Step-by-step explanation:

<u>Katie has: 4 full cement blocks and 4/6 (or 2/3 ) of the normal size of a cement block</u>

For one full block, it weighs 3 2/4 ( or 1/2) pounds, if you want to find the answer of the question, you need to multiply the weight with the cement blocks that Katie have.

<u>First do the four full cement blocks:</u>

4 * 3 2/4 = ?

4 * 14/4 = ?

Cancel the 4 that is being multiplied and the 4 that is being divided by 14.

= 14.

<u>Now do the 4/6 (or 2/3) cement block:</u>

2/3 * 3 2/4 = ?

2/3 * 14/4 = ?

Multiply the fractions together:

= 28/12

= 2 1/3

<u>Finally, you add up the full blocks and the 2/3 cement block to get your answer:</u>

2 1/3 + 14 = 16 1/3

The weight of the block that Katie has is 16 1/3 pounds

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Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?
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0.37 meters  of netting

<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.  

Then for every 1 goal, she needs 0.37 meters of netting.

Because \boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}

Option B: the ratio (or proportion)

In the ratio, we process as follows:

\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }

Both are divided by 4.

\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ } meters of netting.

We cross out eight and four because they can be divided.

\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }

She uses 2.96 meters of netting to make 8 identical mini hockey goals.

<h3>Learn more</h3>
  1. About the engine displacement of Kawasaki Ninja brainly.com/question/5009365
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Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

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