3y = -1/2x + 2 . . . . . . . . (1)
y = -x + 9 . . . . . . . . (2)
substituting (2) into (1), we have
3(-x + 9) = -1/2x + 2
-3x + 27 = -1/2x + 2
-1/2x + 3x = 27 - 2
5/2x = 25
x = (2 x 25)/5
x = 10
From (2)
y = -10 + 9
y = -1
solution (10, -1)
Answer:


Step-by-step explanation:
Given
The attached table

This represents an inverse function.
So, we look into x row for its value.
i.e.


Just like (a)
---- by looking into the x rows

So:


Answer:
380.16
Step-by-step explanation:
To find the capacity of a tank: multiply the length by the width to get the area. Then multiply the area by height to get volume. Finally, multiply the volume by 7.48 gallons per cubic foot to get capacity.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So

Total outcomes:
10 students froms a set of 50. so

Probability:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.