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Komok [63]
2 years ago
10

Twenty-seven minus 1.5  of a number (x) is not more than 36. What is the number?

Mathematics
1 answer:
alexandr1967 [171]2 years ago
5 0
Translate this into symbols:  27 - 1.5x  is equal to or less than 36.  Find x.

Add 1.5x to both sides, so as to make the coefficient of x positive:

27 = 36 + 1.5x, or    -9 = 1.5x,    or x = -6              but also
                                                        x > -6

Check:  let x = -6.   Is the given equation then true? 

27 = 36 + 1.5(-6) => -9 = -9?  Yes.

Check:  let x > -6.  Is  <span>Twenty-seven minus 1.5  of a number (x)  not more than 36?                      27 - 1.5(0) not more than 36?  True.

Thus, x is equal to or greater than -6.</span>
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12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3 ​
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Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

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Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

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(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer:  38/7

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