Answer:
V = 672 cm³ (Option 3)
Step-by-step explanation:
Volume of Rectangular Prism =
<u><em>Where L = 14 cm, W = 6 cm and H = 8 cm</em></u>
V = 14 * 6 * 8
V = 672 cm³
Answer: B
Step-by-step explanation:
Insert the values of x and y for any point in the heavily shaded region and see if it satisfies both inequalities
We can see that the origin (0,0) is inside the shaded region so use these values because they are the easiest to compute
Plug in x = 0 and y = 0 into the first inequality
0 + 2.0 = 0 which is greater than 5.
So we can eliminate both A and D since they both contain incorrect inequalities
Now, test the second inequality with x = 0 and y = 0
For B we get
3.0 + 0 = 0 which is indeed less than 4
C is not applicable since 0 is not greater-than-equal to 4
Hence B is the correct solution
This can be verified using a graphing tool (see image)
A is the correct answer
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Answer:
First, distribute the -2 to each value in the parentheses.
-2x + 4 = 10
(The 4 is positive because a negative multiplied by a negative is a positive)
Then, subtract 4 from both sides to get rid of it.
-2x = 6
Divide by -2 to get x by itself
x = -3
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon