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3 years ago

A fraction in which the GCF of the numerator and the denominator is 1 is written in

1 answer:

5 0

"lowest terms". Whenever 2 numbers have a GCF of 1, that means there isn't anything that can divide out of both numbers, which is called "lowest terms." It means that the fraction cannot be reduced any more.

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Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph

RSB [31]

Answer:

54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

70² = c² +(c -10)²

4900 = 2c² -20c +100 . . . . eliminate parentheses

c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0

3 years ago

The 7th graders in the middle school are going on a field trip to the aquarium. They will spend 4 ¼ hours walking inside of the

Firlakuza [10]

Answer:

The answer is 5.

Step-by-step explanation:

17 / 4 + 3 / 4 =

(17 × 4) + (3 × 4)

4 × 4 = 80 / 16 =

80 ÷ 16

16 ÷ 16

= 5

Hope this helps!

6 0

3 years ago

On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). T

patriot [66]

Answer:

C'(4, 0)

Step-by-step explanation:

Translated 6 units to the right means that the x-value increases by 6.

1 unit up means y-value increases by 1.

(-5 + 6, -1 + 1)

(-2 + 6, -1 + 1)

The second point must be C, as the translation lines it up with one of the answers.

7 0

3 years ago

Find the area and the circumference of the circle. Round your answers to the nearest hundredth.

Alik [6]

Answer:

$area = 200.96 \: {units}^{2} \\ circumfrence = 50.24 \: units$

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

$area = \pi {r}^{2} \\ circumfrence = 2\pi \: r$

*note that pi is 3.14* Therefore the area is:

$formula = \pi {r}^{2} \\ 3.14 \times {8}^{2} = \\ 3.14 \times 64 = 200.96$

Therefore the circumference is:

$formula = \: 2\pi \: r \\ (2)(3.14)(8) = \\ 3.14 \times 16 = 50.24$

3 0

2 years ago

Solve for y 6 = 4x + 9y

crimeas [40]

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

8 0

2 years ago

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