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yaroslaw [1]
3 years ago
13

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple

choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.
How many points was each multiple choice question worth?

Enter your answer in the box.


??? points
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

34x + 14 = 30x + 22
X is the amount the multiple choice question is worth. Both girls had the same test score so both are equal. Isolate X and that will be the value.

34x -( 30x) + 14 = 22
4x = 22 - (14)
4x = 8
4x \div 4 = 8 \div 4
x = 2

Plug 2 back in for x in the original equation to check and both girls recieved a 82%
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Use elimination to solve each system if equation 3x+2y=0and x-5y=17
kotykmax [81]

Answer:

y = -3

x=2

Step-by-step explanation:

3x + 2y = 0

x - 5y=17

to use the elimination you have to make one of the numbers same

so

3(x-5y=17)

and you would have to change the sign so that both of the 3x could cancel out.

New system of equation

3x + 2y = 0

-3x+15y=-51

17y=-51

y = -3

so we know the y value so now you could find the x value take one equation

x - 5y=17

x +15=17

x = 2

you could try it with both of the equations

3x + 2y = 0

3x + - 6=0

3x-6=0

3x=6

x=6/3

x=2

6 0
4 years ago
Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z i
Kay [80]

Answer:

2.5

Step-by-step explanation:

7 0
4 years ago
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Setler [38]
V = π r² h

V = π (4)² 8
 
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5 0
4 years ago
How many times can two go into 99
Tomtit [17]

Answer:

49.5

Step-by-step explanation:

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6 0
3 years ago
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Variable termes X-12-3X+22
adell [148]

Answer: x + 12 = 3x + -22

12 + x = 3x + -22

Reorder the terms:

12 + x = -22 + 3x

Solving

12 + x = -22 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + x + -3x = -22 + 3x + -3x

Combine like terms: x + -3x = -2x

12 + -2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0

12 + -2x = -22 + 0

12 + -2x = -22

Add '-12' to each side of the equation.

12 + -12 + -2x = -22 + -12

Combine like terms: 12 + -12 = 0

0 + -2x = -22 + -12

-2x = -22 + -12

Combine like terms: -22 + -12 = -34

-2x = -34

Divide each side by '-2'.

x = 17

Simplifying

x = 17

7 0
3 years ago
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