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Furkat [3]
3 years ago
10

For every 3 girls in Mr Hegarty's class there are 4 boys. What is the ratio of girls to boys in the class?

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Your answer would be 3:4

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What is the solution to this system of equations?
Ede4ka [16]

Answer:

First choice.

Step-by-step explanation:

You could plug in the choices to see which would make all the 3 equations true.

Let's start with (x=2,y=-6,z=1):

2x+y-z=-3

2(2)+-6-1=-3

4-6-1=-3

-2-1=-3

-3=-3 is true so the first choice satisfies the first equation.

5x-2y+2z=24

5(2)-2(-6)+2(1)=24

10+12+2=24

24=24 is true so the first choice satisfies the second equation.

3x-z=5

3(2)-1=5

6-1=5

5=5 is true so the first choice satisfies the third equation.

We don't have to go any further since we found the solution.

---------Another way.

Multiply the first equation by 2 and add equation 1 and equation 2  together.

2(2x+y-z=-3)

4x+2y-2z=-6 is the first equation multiplied by 2.

5x-2y+2z=24

----------------------Add the equations together:

9x+0+0=18

9x=18

Divide both sides by 9:

x=18/9

x=2

Using the third equation along with x=2 we can find z.

3x-z=5 with x=2:

3(2)-z=5

6-z=5

Add z on both sides:

6=5+z

Subtract 5 on both sides:

1=z

Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:

2(2)+y-1=-3

4+y-1=-3

3+y=-3

Subtract 3 on both sides:

y=-6

So the solution is (x=2,y=-6,z=1).

8 0
3 years ago
Please ANSWER! DOING A TEST!
Natasha_Volkova [10]

Answer:

The correct answer is B!

Step-by-step explanation:

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3 years ago
What is the size of the SUV tanks in gallons?
Romashka-Z-Leto [24]
I looked it up, and after some research, I came across a legitimate answer of approximately 30 gallons.
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3 years ago
Please Help! <br> I'm Desperate.
KATRIN_1 [288]
My teacher always told me if you dont know the answer choose c.
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3 years ago
Simplify the following expression. show your work.<br> (-y + 5.3) + (7.2y - 9)
Kitty [74]

Answer:

6.2y - 3.7

Step-by-step explanation:

−y+5.3+7.2y−9

Subtract 9 from 5.3 to get −3.7.

−y−3.7+7.2y

Combine −y and 7.2y to get 6.2y.

6.2y−3.7

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2 years ago
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