Answer: 18mph
Step-by-step explanation:
Given data
total distance driven = 396 miles
time driven = 8 am Tuesday to 5 pm Wednesday
total time driven in hours = 33 hours
lunch break time = 30 min Tuesday + 30 min Wednesday
= 60 min
= 1 hour
sleep time = 7 pm Tuesday to 5 am Wednesday
= 10 hours
solution:
To find the average speed,
we are given total time driven = 33hrs.
lunch + rest time = 10hrs + 1hr
= 11hrs
total time travelled =drive time - rest + lunch time
= 33 - 11
= 22hrs
therefore;
average speed = distance / time traveled.
average speed = 396 / 22
average speed = 18 mph
The picture shown is a unfolded rectangular prism.
The formula to find the surface area of a rectangular prism is:
A = 2(WL+HL+HW)
(W = width, L = Length, H= Height)
So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.
In this case:
The height is: 4 cm
The length is: 10.5 cm
The width is: 6.4 cm
Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier.
In this case the answer would be 269.6.
D. 269.6
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
Answer:
x=9
Step-by-step explanation:
90(the angle)-30=60
60-15=45
45/5=9
<u>(5(9)+15)+30=90</u>