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3 years ago

A rectangular prism has a length of 5/2 ft, width of 9/6 ft, and height of 2/3 ft. what is its volume?

1 answer:

6 0

The formula of the volume of the rectangular prism:

V = length × width × height

We have:
$l=\dfrac{5}{2}ft\\\\w=\dfrac{9}{6}ft\\\\h=\dfrac{2}{3}ft\\\\V=l\cdot w\cdot h=\dfrac{5}{2}\cdot\dfrac{9}{6}\cdot\dfrac{2}{3}\\\\=\dfrac{5}{2}\cdot\dfrac{1}{1}\cdot\dfrac{1}{1}=\dfrac{5}{2}=2.5ft.^3$

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Which of the following represents the difference between ten and a number is the sum of eight and a number"?

Alona [7]

9514 1404 393

Answer:

Step-by-step explanation:

The difference between 10 and a number is (10 -N).

The sum of 8 and a number is (8 +N).

In this context, "is" means "equals," so we have ...

10 -N = 8 +N

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3 years ago

Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 1

rosijanka [135]

Answer:

$9398.50

Step-by-step explanation:

Given

$\$1 = 106.40\ ALL$

Required

Equivalent of 1,000,000 ALL

We have:

$\$1 = 106.40\ ALL$

and

$\$x = 1000000\ ALL$

Cross Multiply

$x * 106.40 = 1 * 1000000$

$106.40x = 1000000$

Solve for x

$x = 1000000/106.4$

<em></em> $x = \$9398.50$ <em> -- Approximated</em>

4 0

3 years ago

30 points if you answer this!

lord [1]

Answer:

Step-by-step explanation:

4y is a term in itself 3 and x separate aren't and 4x + 7 is an equation not a term.

8 0

3 years ago

Read 2 more answers

Of all college degrees awarded in the United States, 50 % 50% are bachelor's degrees, 59 % 59% are earned by women, and 29 % 29%

bazaltina [42]

Answer:

P(B|W)=0.5

Step-by-step explanation:

-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

$P(B|W)=\frac{P(W)\times P(B)}{P(W)}\\\\=\frac{0.50\times0.29}{0.29}\\\\=0.5$

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5

8 0

3 years ago

A rectangular garden has a walkway around it. The area of the garden is 6(6.5x + 2.5). The combined area of the garden and the w

Rasek [7]

According to the information given in the exercise, the following expression represents the area of the rectangular garden:

$6\mleft(6.5x+2.5\mright)$

And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:

$6.5\mleft(8x+6\mright)$

You can identify that the word "combined" indicates that that expression was obtained by adding both areas.

Knowing the above, you can set up the following equation:

$6(6.5x+2.5)+A=6.5(8x+6)$

Where "A" is the area of the walkway around the rectangular garden.

Solving for "A", you get the following expression:

$\begin{gathered} A=6.5(8x+6)-6(6.5x+2.5) \\ A=52x+39-39x-15 \\ A=13x+24 \end{gathered}$

The answer is:

$13x+24$

7 0

1 year ago