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Nina [5.8K]
3 years ago
6

Mike can bind 109 flowers per hour, John can bind 116 flowers

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Hello!

We know that mike can bind 109 flowers per hour.

Lets create an equation to remember this.

<u>Mikes equation: </u>

<u>109x = y</u>

<u />

<x is representing per hour in this math problem>

We know that John can bind 116 flowers per hour, here is his equation.

<u>Johns equation:</u>

<u>116x = y</u>

<u />

Question: If they work together for 5 hours, how many flowers  can they bind?

First, plug in the number five in both equations.

Second, solve the equation by multiplying.

Mikes:

109(5) = y

109 times 5 is 545

y = 545

Johns:

116(5) = y

116 times 5 is 580

y = 580

We want to know how many flowers can they bind if they work together.

This means we need to add the answers of the equations from both mike's and john's together.

545 + 580 = 1,125

The answer is 1,125

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<em>The length of the square​ that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Explanation:</h2>

Let's call:

A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle

From the question, we know that:

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So:

P_{s}=P_{r}

Moreover:

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Accordingly:

For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8

Also:

A_{s}=s^2 \\ \\ S:Side \ of \ square

From the statement of perimeters:

P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}

Finally, <em>the length of the square​ that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Learn more:</h2>

Perimeter: brainly.com/question/9969486

#LearnWithBrainly

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