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kow [346]
2 years ago
5

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

Mathematics
1 answer:
lutik1710 [3]2 years ago
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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Grace [21]
-3(y+2)^2 - 5 + 6y
= -3(y^2 + 4y + 4) - 5 + 6y
= -3y^2 - 12y - 12 - 5 + 6y
= -y^2 - 6y - 17

Answer
(-1) y^2 + (-6) y + (-17)
3 0
3 years ago
The perimeter of a rectangular parking lot is 292 m.
Reika [66]

Answer:

the answer would be 211

Step-by-step explanation:

you simply add the length and width together to find perimeter. since you have the total perimeter and the length you would instead subtract the two.

292-81= 211

4 0
3 years ago
Read 2 more answers
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prisoha [69]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Solve this system of equations by elimination:<br><br> 8x+9y=48<br> 12x+5y=21
Olin [163]

Answer:

Let's solve your system of equations by elimination.

8x+9y=48;12x+5y=21

Steps:

Multiply the first equation by 5,and multiply the second equation by -9.

5(8x+9y=48)

−9(12x+5y=21)

Becomes:

40x+45y=240

−108x−45y=−189

Add these equations to eliminate y:

−68x=51

Then solve−68x=51for x:

−68x /−68 = 51 /−68  (Divide both sides by -68)

x=  −3 /4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+9y=48

Substitute

−3 /4

8x+9y=48:

8( −3 /4 )+9y=48

9y−6=48 (Simplify both sides of the equation)

9y−6+6=48+6 (Add 6 to both sides)

9y=54

9y /9  =  54 /9  (Divide both sides by 9)   y=6

<em><u>Answer:  x=  −3 /4  and y=6</u></em>

Hope This Helps!  Have A Nice Day!!

7 0
3 years ago
Can someone please explain how to do this​
Nookie1986 [14]

Answer:

the mid point formula for this is x+x/2 and y+y/ 2 so #9would be 1/2, 3/2

7 0
2 years ago
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