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Y_Kistochka [10]
4 years ago
7

Number 7 and 8 please

Mathematics
1 answer:
Ierofanga [76]4 years ago
6 0

7. You are given two angles and their sum, all in terms of x. Set the sum equal to the sum:

... (4x -1) +(2x +15) = (8x +8)

... 6 = 2x . . . . collect terms, subtract 6x+8

... 3 = x . . . . . divide by 2

To find the angles, fill in this value for x

∠AOB = 4·3 -1 = 11

∠BOC = 2·3 +15 = 21

∠AOC = 8·3 +8 = 32

8. Same deal.

... ∠BOC + ∠COD = ∠BOD

... (3x -10) +(8x +13) = (12x -6)

... 9 = x . . . . . . . . subtract 11x-6

And the angle values are ...

∠BOC = 3·9 -10 = 17

∠COD = 8·9 +13 = 85

∠BOD = 12·9 -6 = 102

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Read 2 more answers
Cole gets paid $5,000 plus 16% of all his popcorn sales,x, while Michael gets A fixed salary of $55,000.Write an inequality that
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Answer:

5000 + (0.16)x > 55,000

Step-by-step explanation:

<u><em>DATA:</em></u>

Michael's salary = $55,000

Cole's basic salary = $5,000

--> Commission = 16% of sales

--> Sales = x

<u><em>Cole's total salary</em></u>

<em>--> Basic salary + Commission x sales</em>

--> 5000 + 16% of x

--> 5000 + (0.16)x  as 16 percent is equal to 16/100 = 0.16

<u><em>Cole's total salary should be more than Michael's total salary</em></u>

5000 + (0.16)x > 55000

<em>--> Make x the subject</em>

0.16x > 55000-5000

0.16x > 50,000

x > 50,000/0.16

x > 312500

The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.

The dollar amount of sales that Cole must generate should be more than $312500.

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What is a polynomial
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Complete the proof, word bank at bottom
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What is the quotient of 5/8 and 20?Quotient is the term used to name the answer of the 2 or more digits being divided with each other.Now, we have 2 different numbers. A fraction and a whole number.First thing to do is to convert 5/8 to decimal number.=> 5 / 8 = 0.625Now, we have 2 numbers that needs to be divided.=> 20 as our dividend and 0.625 as our divisor=> 20 / 0.625 = 32<span>32 is the quotient when you divide 5/8 by 20</span>
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3 years ago
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