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2 years ago

Divide 36 books into two groups so the ratio is 5 to 7. (Use the double number line strategy)

1 answer:

7 0

A ratio of 5:7 means out of 12 books, 5 are in one category and 7 are in another. (The “category” isn’t specified in this problem.)

So here we’re STARTING with 36 books; we want to find a ratio that is equal to 5:7 and adds up to 36. Well 36 = 3(12), and so if we multiply each number in the ratio by 3 as well, we might get what we want. Doing that gives us 15:21, which adds up to 36 and is equal to 5:7. Boom, that’s the answer.

P.S. Here’s a question you can think about: why do ratios stay the same when you multiply each number by the same amount? (For example, why is 3:1 the same as 6:2?)

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Simplify completely ((x2-4x+4)/(x2+10x+25)) x ((x+5)/(x2+3x-10)) ...?

vladimir1956 [14]

Hope I wrote this clearly

3 0

2 years ago

Find the measures of the numbered angles

inessss [21]

Answer:

angle 1 is 90 degrees because of the kite theorem:

THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.

angle 2 is 58 degrees because 180-90-32=58 degrees

Step-by-step explanation:

5 0

2 years ago

I NEED HELP PLEASE ?!!

Fittoniya [83]

The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".

QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²

Therefore the radius equals 9 and the center is (-5,7)

QUESTION 12.
From equation (x + 4)² + y² = 121

The radius equals √121 = 11 and the center is (-4,0)

QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.

Finally equations 14 & 15 aren't linear.

Hope that helps you :)

5 0

3 years ago

What’s the answer for A B and C?

dimaraw [331]

Answer:

a = 2

b = 3

c = 8

Step-by-step explanation:

First, let us look at the first two (far left) fractions to solve for a.

Since $2^5 = 2^5$ , nothing needs to change in the numerator. 4 = $2^{2}$

a = 2.

Next, we will look at the first and third fractions to solve for b.

$2^5$ = 32

32 / 4 = 8

$2^3$ = 8

b = 3

Lastly, we will solve for c.

All of these fractions simplify to 8 and are equal to each other.

c = 8

6 0

1 year ago

-32>-5+9z Solve for x.

Darya [45]

Answer:

I do not know how it wants the answer, but it is -4.1 repeating.

I am guessing you meant solve for z too? If there are multiple choice I can help choose the right one.

Step-by-step explanation:

-32>5+9z

subtract 5 from both sides

-37>+9z

then divide 9 from both sides

-4.1111 repeating > z

4 0

3 years ago