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Margarita [4]
3 years ago
10

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8

minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour.
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

There is no question here, but suppose you want to find the number of signs they can make in half an hour, the answer is 14.

Step-by-step explanation:

Times it take to complete a sign.

Mai = 6 minutes

Clare = 8 minutes

Noah = 5 minutes.

Since they keep working for half an hour, which is 30 minutes. Suppose we want to find how many signs they can all make in that time, all we have to do is determine how many signs each person can make and then sum it.

Mai, who makes one every 6 minute, can make only 30/6 signs in 30 minutes. 30/6 = 5

Mai can make 5 signs in that time

Clare, who makes one every 8 minute, can make only 30/8 signs in 30 minutes. 30/8 = 3.75

She can only make 3 signs.

Noah, who makes one every 5 minute, can make only 30/5 signs in 30 minutes. 30/5 = 6

He can only make 6 signs.

In total, they can make 6 + 5 + 3 = 14 signs in half an hour.

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Area is Length x width.

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Replace A in the inequality:

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Now solve for x by dividing all 3 by 20:

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Check to see if they are viable:

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3 years ago
X+y=120 <br>5.25x+3.0y=517.2
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I will try to solve your system of equations.<span><span><span>
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Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
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