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MrMuchimi
3 years ago
15

Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response quest

ions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.
Write a system of linear equations to represent each situation.
Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

You might be interested in
Given the piece wise function show below, select all that are true​
NeTakaya

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        x^{2}, x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = x^{2}

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

7 0
3 years ago
Fairfield Elementary has 14 sets of building blocks. There are 125 blocks in each set. How many blocks are there altogether?
yan [13]

Answer:

1,750 building blocks.

Step-by-step explanation:

In order to find the solution to this question, you must use multiplication.

If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.

You should get 1,750 as your final answer.

6 0
2 years ago
Can someone help me
butalik [34]

Answer:

The answer is 1/3

Step-by-step explanation:

Yoh would get this because an dice has six sides. If two numbers are being offered, that's 2/6 , or 1/3 simplified.

4 0
3 years ago
Read 2 more answers
In an older television set, the screen height is 0.75 times the screen width.
natima [27]
The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2

Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w

Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16

This means that the width of the screen is 16 in. 
5 0
3 years ago
1. Select all values of x that are solutions to the equation: -2(x + 4)(3x - 18) = 0A) -6B) -4C) -2D) OE) 2F) 4G) 6
navik [9.2K]
\begin{gathered} -2(x+4)(3x-18)=0 \\ \text{There are two factors here which are} \\ -2(x+4)\text{ and} \\ (3x-18) \\ \text{This means, either} \\ 2(x+4)=0 \\ 2x+8=0 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \\ OR \\ 3x-18=0 \\ 3x=18 \\ \text{Divide both sides by 3} \\ x=6 \\ \text{Therefore,} \\ x=-4\text{ or} \\ x=6 \end{gathered}

x = -4 OR x = 6

The correct options are B and G

6 0
1 year ago
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