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3 years ago

Twenty-seven minus 2/3 of a number (x) is not more than 36. What is the number?

Mathematics

2 answers:

xenn [34]3 years ago

7 0

Answer:

x ≥ 13.5

Step-by-step explanation:

"2/3 of a number (x)" ---> (2/3)x

"Twenty-seven minus 2/3 of a number (x)" ---> 27 - (2/3)x

"is not more than 36" can be rephrased as " is less than or equal to 36"

hence

27 - (2/3)x ≤ 36 (subtract 27 from both sides)

- (2/3)x ≤ 36 - 27

- (2/3)x ≤ 9 (multiply both sides by -1, remember to flip the sign)

(2/3)x ≥ -9 (multiply both sides by 3/2)

x ≥ -9 (3/2)

x ≥ 13.5

Nuetrik [128]3 years ago

4 0

The number is D. xs-6

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3 years ago

Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y

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Answer:

a. Yes

b. Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

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which as can be seen, also contains variables raised to positive integers.

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3 years ago

Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?

Ronch [10]

Answer:

2/5 < 5/8 < 6/7 < 1

OR

1 > 6/7 > 5/8 > 2/5

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

2/5 < 5/8 < 6/7 < 1

Or can be written from the greatest to the least as:

1 > 6/7 > 5/8 > 2/5

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