What is the value of the expression

What is the volume of the following rectangular prism? 21/2 units 8/3 units

xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = $\frac{21}{2}$ and l = $\frac{8}{3}$ , thus

V = $\frac{21}{2}$ × $\frac{8}{3}$ ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= $\frac{7}{1}$ × $\frac{4}{1}$ = 7 × 4 = 28 units³

5 0

4 years ago

Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at t

Sphinxa [80]

Answer:

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

$\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1 \\ 0.5 & 4.5 \\ 1 & 8 \\ 1.5 & 11.5 \\\end{tabular}\end{center}$

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

Average speed can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = $\frac{10.5}{1.5} = 7\ miles/hr$

Clearly Average speed of John is greater than that of Anne's.

Therefore, John runs faster.

6 0

3 years ago

Evaluate the expression for the given value of the variable. |b| + b^3 ; b = -2, please show work!

Katen [24]

So b=-2 so you plug b in

l(-2)l + (-2)^3.

The absolute value of -2 is just 2 so now it is

2 + (-2)^3.

-2 * -2 is 4 but 4 * -2 is -8. So 2 + (-8) or 2 - 8 which comes to equal (-6) or negative six.

4 0

3 years ago

five years ago a man was seven times as old as his son. five years hence the gather would be three times as old as his son. find

babymother [125]

Father = x
son = y
x-5 = 7(y-5)
x +5 = 3(y+5) solve the system

x-5 = 7y-35
x+5 = 3y +15

x-5 = 7y-35
-x-5 = -3y -15
-10 = 4y -50
+50 +50
40 = 4y
10 = y

Solve for X
x+5 = 3(10) + 15
x+5 = 45
x = 40

The father is 40yrs old and the son is 10yrs old.

5 0

3 years ago

Rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________

Phantasy [73]

Answer:

Step-by-step explanation:

look, area = length x width

so that means that the area of this rectangle is

= 11 1/2 * 8

= 23/2 * 8

= 23 * 4 (simplified)

= 92 in^2

6 0

3 years ago

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