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Setler [38]
3 years ago
8

Which sentence below represents the number of test questions in the problem below?

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer: there are 10 multiple choice questions and 15 short-answer questions

Step-by-step explanation:

Let x represent the number of multiple choice questions in the test.

Let y represent the number of short-answer questions in the test.

If the test has 25 questions, it means that

x + y = 25

Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that

2x + 4y = 80 - - - - - - - -1

Substituting x = 25 - y into equation 1, it becomes

2(25 - y) + 4y = 80

50 - 2y + 4y = 80

- 2y + 4y = 80 - 50

2y = 30

y = 30/2 = 15

x = 25 - y = 25 - 15 = 10

A. The number of multiple-choice questions plus the number of short-answer questions is 25.

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The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
mamaluj [8]

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

\frac{x}{y} =\frac{5}{2}

x=2.5y ----> equation A

x-20=y-8

y=x-20+8

y=x-12 ----> equation B

Solve the system by substitution

substitute equation A in equation B

y=(2.5y)-12

solve for y

2.5y-y=12\\1.5y=12\\y=8

Find the value of x

x=2.5(8)=20

therefore

The amount that Obi initially had was £20

4 0
3 years ago
Please help me!!! Brainliest
Luba_88 [7]
The lines are parallel.

In order to figure this out, let's start off by simplifying both equations as much as we can:
2y = 16 + 4x
Divide by 2
y = 2x + 8

Remember that the slope of that equation is '2' since 'm' in the equation y = mx + b represents slope.

Simplify the next equation:
6y - 30 = 12 x
6y = 12x + 30
Divide by 6:
y = 2x + 5

As you can tell, this line also has a slope of 2.
Parallel lines is defined as two lines that have the same slope. Knowing this, we can infer that these two lines are parallel.

-T.B.
7 0
3 years ago
An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use
Oduvanchick [21]

Answer:

с. A matched pairs t-interval for a mean difference.

Step-by-step explanation:

With the sample, we will have possession of the sample mean and of the sample standard deviation, which means that the t-distribution will be used.

We want to find the mean number of back problems for each sample, and estimate the difference. Since the groups are similar, with only the positions in which they work being different, we have matched pairs. So the correct answer is given by option c.

7 0
3 years ago
How to solve Ln x = 0.25x
kirza4 [7]
Let's solve your equation step-by-step.
x
=
0.25
x
Step 1: Subtract 0.25x from both sides.
x
−
0.25
x
=
0.25
x
−
0.25
x
0.75
x
=
0
Step 2: Divide both sides by 0.75.
0.75
x
0.75
=
0
0.75
x
=
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Answer:
x
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0
6 0
2 years ago
Harry invests £5000 for 3 years.
mixas84 [53]

Answer:

600

Step-by-step explanation:

Harry invests £5000 for 3 years.

He gets a simple interest of 4% per year.

Work out the total interest Harry gets.

Solution

The formula for simple interest

S.I = P*R*T/100

Where P = Principal = £5000

           R = Rate = 4%

           T = Time = 3 years

 £ 5000 * 4 * 3 /100

  50 * 4 * 3

 £ 600.

5 0
2 years ago
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