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Hatshy [7]
3 years ago
10

What is the volume of the rectangular prism

Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

\frac{23}{3} cubic units

Step-by-step explanation:

To find the volume, we can multiply the base by the height.  \frac{4}{3} * \frac{23}{4} is \frac{92}{12}, or \frac{23}{3}.  So the volume is \frac{23}{3} cubic units.

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Solve for x: 4 over x equals 5 over 10 8 9 20 40
Sati [7]

\frac{4}{x} =\frac{5}{10}   [4 over x equals 5 over 10]  

Solve for x, so you need to isolate/get x by itself in the equation.

\frac{4}{x} =\frac{5}{10}       Multiply x on both sides

(x)\frac{4}{x}=\frac{5}{10} (x)

4=\frac{5}{10} x       Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself

(\frac{10}{5} )4=(\frac{10}{5} )\frac{5}{10} x

\frac{40}{5} =x

8 = x

4 0
3 years ago
760 hundreds using place-value chart
vazorg [7]
7hundreds 6tens 0ones
7 0
3 years ago
On a given week, the classical literature section in a certain library had 40 different books, all of which were in stock on the
Montano1993 [528]

Answer:

The greatest number of the books that could have been borrowed during the week is 36

Step-by-step explanation:

Let's create an equation which represent this problem, where will rest the book borrow and add the book returned to the 40 initial amount of book on Monday, to get the 22 book in the shelf on Saturday morning

40 (book on the shelf on Monday) - x (book borrowed) + 0.5 * x (50 % of the book was returned before Saturday) = 22 (books in the shelf on Saturday morning)

40 - x + 0.5 * x = 22

40 - 0.5*x = 22

18 = 0.5 * x

18/0.5 = x

36 = x

The amount of borrowed books is 36

6 0
2 years ago
Read 2 more answers
Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

5 0
2 years ago
Which line graph correctly reflects the information in the frequency table?
bekas [8.4K]
<h3>Answer: Choice B</h3>

Explanation:

You can use Excel to make the graph, but other free options work just fine. I used LibreOffice to make the graph shown below.

Each point on the line graph represents a frequency for a given time value. The first point being 4 units high, means there were 4 customers at 8:00 AM. Then there were 6 customers at 9:00 AM, meaning the next dot has a height of 6. And so on.

The graph shown below matches with choice B.

3 0
2 years ago
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