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rodikova [14]
3 years ago
13

The difference between twice an angle's measure and it's supplement is 27. Find the measure of the angle.

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
2x-(180-x)= 27
2x-180+x= 27
3x-180=27
3x=207
x= 69

Final answer: 69 degrees
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How many ounces of a 25% alcohol solution and a 38% alcohol solution must be combined to obtain 39 ounces of a 32% solution
m_a_m_a [10]

Answer:

18 ounces of the 25% solution

21 ounces of the 38% solution

Step-by-step explanation:

let a be the ounces of 25% alcohol solution

let b be the ounces of 38% alcohol solution

a + b = 39

0.25a + 0.38b = 0.32(39) = 12.48

Rearrange a + b = 39:

a = 39 - b

Now we can substitute a = 39 - b into the other equation

0.25a + 0.38b = 12.48

0.25(39 - b) + 0.38b = 12.48

Simplify by distributing

9.75 - 0.25b + 0.38b = 12.48

Collect like terms

9.75 + 0.13b = 12.48

Isolate b to solve

0.13b = 2.73

b = 2.73/0.13

b = 21

Sub b = 21 into an equation to find "a"

a + b = 39

a + 21 = 39

a = 39 - 21

a = 18

Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.

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3 years ago
2330 law graduates took the Alaska bar exam over a ten year period. 1780 passed the exam. What percent passed the exam?
Kruka [31]
Around 76 percent passed the exam.
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mixas84 [53]

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olga_2 [115]

Answer:

12/15

Step-by-step explanation:

To find the answer to this question, we first need to align the numerators and find what multiplies by 4 to get 12.

This is achieved by dividing 12 by 4.

12 / 4 = 3

Now, we need to multiply 3 by the denominator (5) to get the missing denominator of the second fraction.

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Inputting the denominator into the second fraction, we have the fraction:

12/15

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Answer:

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Step-by-step explanation:

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