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san4es73 [151]
3 years ago
12

I need to know how to solve this and need an explanation along with answer. Thanks!

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
First you should write what you know since we don't know how many helmets we will use x

helmets - 5(x)
bats - 3(6x)

then write out the equation

5(x)+3(6x)=4600

then solve so first multiple 5 times x and multiply 3 and 6x

5x+18x=4600

then combine like terms which are 5x and 18x

23x=4600

then divide both sides by 23

x=200

200is the number of helmets and since there are six times the bats as helmets you multiply that by six and get

helmets=200
bats=1200
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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The perimeter of a rectangle is 42 feet. The length decreased by three times the width is 1 foot. What are the dimensions of the
madreJ [45]
First you want to make an equation to express the problem. For this one in particular, let's make the length be represented by "L" and the width "W."

The length minus three times the width is 1 foot. This can be represented as L - 3W = 1. This means that L = 3W + 1. This will be our substitute for the length.

The perimeter of a rectangle is 2 times the length plus the width P = 2(L + W). By substituting these variables from what we now know we can find out the dimensions of the rectangle.

42 = 2(3W + 1 + W)
42 = 6W + 2 + 2W     Multiply <u>everything in parenthesis</u> by 2.
42 = 8W + 2              Add the like terms.
40 = 8W                    Subtract 2 on both sides to get the <em>variable (W) </em>by itself.
5 = W                        Divide 8 from 40 to get what W equals.

The width is equal to 5. We can now plug in this answer to the original equation (P = 2(L + W)) or the length equation we made earlier (L = 3W + 1) to find the length.

42 = 2(L + 5)
42 = 2L + 10     Multiply <u>everything in parenthesis<em /></u><u><em /></u> by 2.<u />
32 = 2L             Subtract 10 from both sides to get the <em>variable (L) </em>by itself.
16 = L               Divide 2 from 32 to get what L equals.
<u>Or</u><u />
L = 3(5) + 1      Replace the <em>variable (W) </em>with 5.
L = 15 + 1        Multiply 3 by 5 to get 15.
L = 16              Add the remaining terms!

So the dimensions of the rectangle are 5 and 16, where 5 is the width and 16 is the length. I hope this answer made sense and that you can solve these on your own in the future!
4 0
4 years ago
If y=26−(3x+2), then x = ?
Anna71 [15]

Answer:

-1/3y +8 = x

Step-by-step explanation:

y=26−(3x+2)

Distribute

y = 26 -3x-2

Combine like terms

y = 24 -3x

Subtract 24 from each side

y -24 = -3x

Divide each side by -3

y / -3 -24/-3 = -3x/-3

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3 0
3 years ago
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Kisachek [45]

Answer:

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Step-by-step explanation:

Given

Sugar = 2\frac{1}{2}\ cups

Bars = 3\ pans

Required

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To do this, we make use of the following equivalent ratios.

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So, we have:

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Express fraction as decimal

3 : 2.5 = h : g

Express as fraction

\frac{3}{2.5} = \frac{h}{g}

Cross multiply

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nataly862011 [7]
X=-6 that should be the answer
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