Answer:
89–100
Step-by-step explanation:
Let x represent the grade on the fifth test. The average for 5 tests wants to be between 80 and 90, so we have ...
80 ≤ (78 +62 +91 +80 +x)/5 ≤ 90
Multiplying by 5 gives
400 ≤ 311 +x ≤ 450
Subtracting 311 gives the range for the fifth test grade.
89 ≤ x ≤ 139
Since the maximum available score is 100, the range on the 5th test for an overall B grade is ...
89 ≤ x ≤ 100 . . . . where x is the grade on the 5th test
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
We know that the slope of this line is:

And the y-intercept is:

Since the line intersects the x-axis when
, we can substitute values into
:

The final step is to solve for "x", then:

Hi!
Let's write the equation in number form first.
7 over 8
7/8
minus 1
7/8 - 1
over x
7/8 - 1/x
equals 3
7/8 - 1/x = 3
over 4
7/8 - 1/x = 3/4
Now to find the value, let's put each option as the value for x.
A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.
B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.
C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.
D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!
The answer is d. x = 8
Hope this helps! :)
-Peredhel
Answer:
70 m^2
Step-by-step explanation:
The key shows that each square side on the grid measures 2 m. The base of the triangle measures 7 grid square sides, so it measures 14 m. The height of the triangle measures 5 grid square sides, so it measures 10 m.
area of triangle = bh/2
area = (14 m)(10 m)/2
area = 140 m^2/2
area = 70 m^2
Agile asertation anigaa man aqaani sa lo samaayo