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moniquejg1800
29.06.2021 •
Mathematics
You will take a test with multiple choice questions and short answer questions. The multiple choice questions are worth 1 point and the short answer questions are worth 3 points. There is a total of 100 points on the test and 70 total questions. How many questions of each type? Set up a system and solve. Let x = number of multiple choice questions and y = number of short answer questions.
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Ответ:
9514 1404 393
15 short answer (3 points)55 multiple choice (1 point)Step-by-step explanation:
Your system of equations will be ...
x + y = 70 . . . . . . . there are 70 total questions
x + 3y = 100 . . . . . there are 100 total points
__
We can use the first equation to write an expression for x that can be substituted into the second.
x = 70 -y
(70 -y) +3y = 100
70 +2y = 100 . . . . . . collect terms
2y = 30 . . . . . . . . . . subtract 70
y = 15 . . . . . . . . . . . divide by 2
x = 70 -15 = 55
The test has 15 short answer questions and 55 multiple-choice.
Ответ:
C. 2, 808 cm^3
Step-by-step explanation:
Given that
The base of the pyramid is 18 centimeters
And, the height of the pyramid is 26 centimeters
We need to find out the volume of the pyramid
As we know that
The volume of the pyramid is
= 1 ÷ 3 × base^2 × height
= 1 ÷3 × 18^2 × 26
= 2,808 centimeter^3
Hence, the correct option is c.