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levacccp [35]
4 years ago
6

What sentence represents the number of test questions in the problem below? A test is worth 80 points. Multiple-choice questions

are worth 2 points, and short-answer questions are worth 4 points. If the test has 25 questions, how many multiple-choice questions are there?
Mathematics
1 answer:
almond37 [142]4 years ago
5 0
The first thing we must do for this case is to define variables.
 We have then:
 x = Multiple-choice questions
 y = short-answer questions
 We write the following system of equations:
 2x + 4y = 80
 x + y = 25
 Solving the system of equations we have:
 x = 10
 y = 15
 Answer:
 
there are 10 multiple-choice questions
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ira [324]
625 natural numbers lie between 26 and 27
7 0
3 years ago
Any one good with equations<br> ?
Sav [38]
Let's pick a variable to solve for. In this case, a good pick would be y. The reason behind this is we can cancel out the x's easily.

2x + 7y = -1
4x - 3y = -19

Multiple the entire equal by 2. In order to keep the top equation true, we must multiple the entire equation.

2(2x + 7y) = -1(2) => 4x + 14y = -2

Now subtract.

4x + 14y = -2
4x - 3y = -19

0x + 17y = 17
0x is basically 0.
17y = 17
Simply divide each side by 17.

17y / 17 = 17 / 17
y = 1

Now substitute it back into one of equations to solve for x. I'll pick 2x + 7y = -1

2x + 7(1) = -1 ; Start
2x + 7 = -1     ; Multiply 1 by 7
2x = -1 - 7      ; Subtract each side by 7
2x = -8           ; -1 - 7 is equal to -8
x = -4             ; Divide both sides by 2

7 0
4 years ago
I need help!!! i attached a photo of the math!!​
yKpoI14uk [10]

Answer:-1/p^3

Step-by-step explanation:You do exponents first so -p to the power of -7 is -1/p^7 which then you do -p^4 which is p^4 multiply both you get -1/p^3

3 0
3 years ago
Read 2 more answers
HELP HELP HELP!!!
Debora [2.8K]

<u>Part 1</u>

By the inscribed angle theorem, arc ZY measures 76 degrees.

<u>Part 2</u>

Since angles inscribed in the same arc are congruent, angle YXZ measures 38 degrees.

<u>Part 3</u>

Since diameters form semicircles and the arc of a semicircle measures 180 degrees, arc XYZ measures 180 degrees.

<u>Part 4</u>

Subtracting arc ZY from arc XYZ, we get 104 degrees.

7 0
2 years ago
PLEASE HELP!!!!!!!!!! BRAINLIEST
photoshop1234 [79]

Answer:

3/4

Step-by-step explanation:

12/16

divided by 4

3/4

3 0
3 years ago
Read 2 more answers
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