Answer:
- The system of equations is x + y = 85 and 7/20x+2/5y=31
- To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
- B-She used 60 minutes for calling and 25 minutes for data.
Step-by-step explanation:
It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...
x + y = 85
The total of charges is the sum of the products of charge per minute and minutes used:
7/20x + 2/5y = 31.00
We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.
-7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)
-7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses
y = 25 . . . . . . . . simplify
Then the value of x is
x = 85 -y = 85 -25
x = 60
I added a screenshot with the complete question
<u><em>Answer:</em></u>Total miles = 2.5 miles
<u><em>Explanation:</em></u><u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked

of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time<u>Substitute with the givens to get the distance she covered while walking:</u>
Distance = 3 *

= 1 mile
<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran

of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 *

= 1.5 miles
<u>3- getting the total mileage:</u>
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles
Hope this helps :)
<u>We are given:</u>
We know that the sum of all interior angles of a Pentagon is 540°
we are given 4 out of the 5 angles
<u>Solving for x:</u>
since the sum of all 5 angles is 540°:
75 + 130 + 135 + x + 90 = 540
x + 430 = 540
x = 540 - 430
x = 110°
A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.
What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.
For each answer choice, you have to check all three of the given pairs.
(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.
Can you finish it?