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Dennis_Churaev [7]
3 years ago
9

Solve for X Substitute back in What kind of angle

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
3x + 5+ 2x + 90 = 180 (because it is adjacent angles on a straight line which sums 180)
5x + 95 = 180
x = 17
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A bicycle has a listed price of $577.98 before tax. If the sales tax rate is 6.5%, find the total cost of the bicycle with sales
Salsk061 [2.6K]

Answer:

$615.54

Step-by-step explanation:

Step 1

Write your problem.

577.98 x 6.5% = ?

Step 2

Convert the % to a decimal:

6.5% to 0.065

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

577.98 x 0.065 = 37.56

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

577.98 + 37.56 = $615.54 (total cost)

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Lisha is making headbands using ribbon she would like to make 12 headbands each one requires 15.5 inches of ribbon she estimates
Firlakuza [10]

Answer:

Step-by-step explanation:

Lisha is making headbands using ribbon.

each one requires 15.5 inches of ribbon

For 12 headbands Lisha need to buy ribbon = 15.5 × 12

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Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne
sp2606 [1]

Answer:

Max = 15

Step-by-step explanation:

Given

s(y) = -2y^2 + 60y + 10

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

s(y) = ay^2 + by + c

And the maximum is calculated as:

Max = \frac{-b}{2a} If a<0

Comparing s(y) = ay^2 + by + c to s(y) = -2y^2 + 60y + 10

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a = -2     b = 60   c = 10

Substitute these values to

Max = \frac{-b}{2a}

Max = \frac{-60}{2 * -2}

Max = \frac{-60}{-4}

Max = 15

<em>The number of item that maximizes the function is when y = 15</em>

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