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Oduvanchick [21]
3 years ago
12

Thirty-six members of the middle school choir, which represents 30%, participated in the regional contents. How many total stude

nts are in the choir?
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

120

Step-by-step explanation:

Given data

36 members are equivalent to 30%

Let the total number of students  be x

Hence

30% of x= 36

30/100*x= 36

0.3x= 36

divide both sides by 0.3

x= 36/0.3

x= 120 students

Hence the total number of students is 120

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Find 64.9% of 77. Round to the nearest tenth.
eduard

Answer:

64.9% of 77

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3
anzhelika [568]

Answer: 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: 5x^2y - 30xy^2 - 35y^3

It can be written as

5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)

Taking out common factor  5y , we get

5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\  \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)

Hence, 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

3 0
3 years ago
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
goldfiish [28.3K]
<span>To write a two-variable equation, you would first need to know how much Maya’s allowance was. Then, you would need the cost of playing the arcade game and of riding the Ferris wheel. You could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. Your variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation you could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.</span>
4 0
3 years ago
This graph shows the cost of a small cheese pizza at 3 different restaurants. a) explain how the size of the bars gives a false
nlexa [21]

I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)

8 0
2 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
2 years ago
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