Answer:
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Step-by-step explanation:
Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer: All heights could be the same based on probability
Step-by-step explanation:
Answer:
Step-by-step explanation:
Scale= length on drawing / actual length
Let the actual length b x
3:10=2/5/x
3/10=2/5x
Cross multiply
15x=20
x=4/3
The actual length is 4/3
Since it is a square, the diagonals are congruent. If a square is split like this, it becomes two congruent right triangles. The relationship between the sides and hypotenuse is a 1:

ratio. So if the diagonal of a square is 14 cm, then the side length would be 14/

, which is approximately 9.899. I don't understand what the answer choices are, but you should be able to square root the numbers to determine the answer.