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?)

You might be interested in

I need help answering the question

Troyanec [42]

x = 15 + 4y that is what I got out of it

3 0

3 years ago

Help me with this. i am not smart ..

marta [7]

I’m not that smart... but let me use first as example.. 240 divided by 4

3 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRAINLIEST!!!!

finlep [7]

Answer:

Make a graph

Step-by-step explanation: In order to plot points, you need to first make a graph. So you would make a graph and plot out the numbers on the line. Hopefully you know how to setup a graph and what goes on the x and y axis. So for the first one you would go left on the graph till you hit -3 and then down to -2 and then draw a point right there. For the second one you would go right to 2 and then up 4 and draw a point.

7 0

3 years ago

Read 2 more answers

Find element a23 if matrix A, if A=|2 -3 4|<br> |5 0 -6|<br> |7 2 -8|

Elis [28]

Answer:

-6

Step-by-step explanation:

The notation a23 refers to the element in row 2, column 3. That element is -6.

5 0

3 years ago

Classify each system of equations as having a single solution, no solution, or infinite solutions.

mina [271]

To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form.

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions.

Now the third one. We do the same steps.

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5

10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again.

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions.

Now the fifth one.

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution.

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution.

8 0

3 years ago