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ziro4ka [17]
2 years ago
6

Two numbers are between 10 and 20. Their greatest common factor is 3. Which two numbers could they be?

Mathematics
1 answer:
alina1380 [7]2 years ago
4 0

Answer:

12 and 15     or

12 and 18    or

15 or 18

Step-by-step explanation:

The two numbers have to both be divisible by 3, since their greatest common factor is 3.  This only leaves..

12, 15, or 18     (no other numbers between 10 and 20 are divisible by 3)

The factors of 12 are: 2, 3, 4, 6, and 12

The factors of 15 are: 3, 5, and 15

The factors of 18 are: 2, 3, 6, 9, and 18

All three numbers have 3 as a greatest common factor, so we have 3 pairs of numbers they could be...

12 and 15     or

12 and 18    or

15 or 18

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Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. the mirror is 2 feet wide and
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The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.

The correct option is D.

<h3>What is a quadratic equation ?</h3>

A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

<h3>According to the given information:</h3>

Total area  = 7 square feet

and,

Total area = Length x Width

So,

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The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.

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I understand that the question you are looking for is:

Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long.  Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. Which quadratic equation can be used to determine the thickness of the frame, x?

A. x² + 14x - 2 = 0

B. 2x² + 10x - 7 = 0

C. 3x² + 12x - 7 = 0

D. 4x² + 10x - 1 = 0

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