Hope it helps 10 mins on the elliptical and 12 on the treadmil
Step-by-step explanation:
<u>5</u><u>)</u><u> </u>2.4×10^-5 / 4.5×10^-11
- 2.4×10^-5= 0.000024
- 4.5×10^-11= 0.000000000045
=0.000024/0.000000000045
=24/1 × 1,000,000/45
=24,000,000/45
=533,333.33°
=5.33333°×10^5
**NOT SURE ABOUT THIS QUESTION
<u>6</u><u>)</u><u> </u>(4,-2)
<u>7</u><u>)</u> --------
<u>8</u><u>)</u>
- 2x + 3 = 5x - 2
- 2x - 5x = - 2 - 3
- -3x = -5
- x = -5/-3
- x = 1.66°
- 6x + 4 = 6x + 4
- 2 (2x + 3) = 8x - 2
- 4x + 6 = 8x - 2
- 4x - 8x = -2 - 6
- -4x = -8
- x = -8/-4
- x = 2
- -3x + 2 = -3x + 5
Letter be has no solution because it is broken down as "0x = 0"
Answer:
8 inches.
Step-by-step explanation:
In the first bounce, the height that the ball reaches was 125 inches.
If the ball always bounces back to
of the height, then after 2nd bounce it will reach
inches height.
Again, after 3rd bounce, it will reach
inches height.
And, after 4th bounce, it will reach
inches height. (Answer)
Answer:
5
Step-by-step explanation:
You need to set up and solve a system of linear equations here.
Let s and a represent the number of students and adults respectively.
Then s + a = 9, and s = 9 - a.
Total ticket cost for the adults was ($8/adult)(a)
and for the students ($5/student)(s).
Total cost of the tickets was then ($8/adult)(a) + ($5/student)(s) = $60.
Then our system of linear equations is:
8a + 5s = 60
a + s = 9, or s = 9 - a. Substituting 9 - a for s, we get:
8a + 5(9 - a) = 60.
Then 8a + 45 - 5a = 60, or 3a = 15.
Solving for a, we get a = 5.
Solving for s using s = 9 - a, we get s = 9 - 5, or s = 4.
There were 5 adults in the group (and 4 students).
The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface, 
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface, 
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism, 
The volume of the given trapezoidal prism is 312 cubic units.