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Viktor [21]
3 years ago
12

Which ratios are equivalent to 7/3? check all that apply 27:21, 28 to 12, 56/24, 63 to 27, 9/12

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0

Answer:

its B C and D

Step-by-step explanation:

Aleks [24]3 years ago
5 0

Answer:

I know the correct ones!

Step-by-step explanation:

28 to 12, 63 to 27, 56 to 24

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There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Midd
zavuch27 [327]

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

5+4=9

Number of boys =270\times \dfrac{5}{9}=150

Number of girls =270\times \dfrac{4}{9}=120

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

4+5=9

Number of boys =180\times \dfrac{4}{9}=80

Number of girls =180\times \dfrac{5}{9}=100

Now,

Total number of students in both schools = 270+180

                                                                = 450

Total number of girls in both schools = 120+100

                                                         = 220

The fraction of the students at the dance are girls is

\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}

\text{Required fraction}=\dfrac{220}{450}

\text{Required fraction}=\dfrac{22}{45}

Therefore, the required fraction is \dfrac{22}{45}.                                

7 0
3 years ago
Please help.<br> Is algebra.
Dvinal [7]

Answers:

  • Blank 1:  4
  • Blank 2:  -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

-15x = 17-77

-15x = -60

x = -60/(-15)

x = 4

We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

y = -1

We have  x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

24 - 7 = 17

17 = 17

We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

3 0
3 years ago
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