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.
Answer:
In B) y = x/7 , the constant of proportionality is 7.
Step-by-step explanation:
Two quantities X and Y are said to be in proportion if and only if
X = kY or, 
,
where k = Proportionality Constant.
Here, 7 is the constant of proportionality. Then,
A . y = 14x
here, 
≠ 7
B . y = x/7
here, 
= constant of proportionality .
C. y = x
here, 
≠ 7
Answer:
1 6 15 20 15 6 1
Step-by-step explanation:
To figure this out, we need to look at Pascal's Triangle, which is a tricky little way to find the coefficients for any binomial expression like this! Check the attached photo.
Because this is to the sixth, we need the 6th row, which is <u>1 6 15 20 15 6 1.</u> From this, we know that those numbers are the coefficients!
Answer:
275.125
Step-by-step explanation:
just multiply 35.5 with 7.75 and theres your answer
1,609.35 meters are in a mile.
3,600 seconds are in an hour.
1,609.35meters x 60miles = 96,561 meters per hour
96,561meters per hour / 3,600seconds = 26.82 meters per second
