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Talja [164]
3 years ago
14

A 110 point exam is made up of 50 questions. some questions are worth 2 points others are worth 4 points how many of each type o

f question are on the test?
Its a system of equations answer.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0
X - the number of the questions worth 2 points
y - the number of the questions worth 4 points

x+y=50 \\
2x+4y=110 \\ \\ 
\hbox{from the 1st equation:} \\
y=50-x \\ \\
\hbox{substitute 50-x for y in the 2nd equation:} \\
2x+4(50-x)=110 \\
2x+200-4x=110 \\
-2x=-90 \\
x=45 \\ \\
y=50-45=5

The answer:
There are 45 questions worth 2 points and 5 questions worth 4 points.
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Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

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To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.

<h3>Area of Rectangle</h3>

The area of a rectangle is given as the product between the length and it's width.

Data;

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  • width = ?
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area = length * width

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

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We can see that the width are not equal so is their length.

But if we would truly compare them, the accurate way to do that is by their area

The area of the second gauze is given by

a = 3 * 4 = 12in^2

From the above calculations, we can see that the sheets are not similar as they have different areas.

Learn more on area of a rectangle here;

brainly.com/question/25292087

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