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vesna_86 [32]
3 years ago
6

Maria put trim around a banner that is the shape of a triangle. Each side is 22 inches long. Maria has 1/2foot of trim left. Wha

t was the length of the trim when she started? Write your answer in yards

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Maria had 2 yards of trim when she started.

Step-by-step explanation:

Step 1:

All of the sides of the triangle is 22 inches long each.

The total length of the sides of the triangle = 3(22) = 66.

So the total length of the trim for the banner is 66 inches long.

If Maria still has \frac{1}{2} a foot of trim left, she had 6 inches of the trim left.

The length of the trim when she started=66 +6 = 72 inches.

Step 2:

Now we need to convert the 72 inches into yards.

We have 1 inch = 0.0277778 yards.

So 72 inches = 0.0277778(72) = 2.

So Maria had 2 yards of trim when she started.

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NEED HELP NOW I have 31 stamps total. I have 4 more 1-cent stamps than 8-cent stamps and twice as many one cent stamps as 12 cen
krek1111 [17]

x = number of 1-cent stamps

y = number of 8-cent stamps

z = number of 12-cent stamps

We have 31 stamps all together, so x+y+z = 31.

"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.

You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x

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x+y+z = 31

x+x-8+z = 31 ... y replaced with x-8

x+x-8+0.5x = 31 ... plug in z = 0.5x

2.5x-8 = 31

2.5x = 31+8

2.5x = 39

x = 39/2.5

x = 15.6

Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).

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The main answer: $4.84

Step-by-step explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

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County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

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Add the original price and the sales tax.

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Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

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3 years ago
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