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2 years ago

If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?

Mathematics

1 answer:

lesantik [10]2 years ago

6 0

I could help you if you label which one is the length which one it the width and which one is the height.

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A baseball team has 4 pitchers, who only pitch, and 16 other players, all of whom can play any position other than pitcher. F

ivolga24 [154]

Answer:

2,075,673,600 batting orders may occur.

Step-by-step explanation:

The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

First 8 batters

8 players from a set of 16. So

$P_{(16,8)} = \frac{16!}{(16 - 8)!} = 518918400$

Last batter:

Any of the four pitchers.

How many different batting orders may occur?

4*518918400 = 2,075,673,600

2,075,673,600 batting orders may occur.

5 0

3 years ago

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend

TiliK225 [7]

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

$\frac{140}{168}=\frac{130}{x}$

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

$\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}$

Answer: 156 pounds of Organic Free Trade blend

6 0

10 months ago

Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22

natka813 [3]

We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>

7 0

3 years ago

HELP ASAP!right answer I’ll give you a crown

faltersainse [42]

Answer:

$y=-\frac{3}{2}x+1$

Step-by-step explanation:

Slope-intercept form means

$y=mx+c$

where m is given its the slope which is $-\frac{3}{2}$ and we have the coordinates x and y which is (4, -5) and we need to find the value of c which is the y-intercept so we insert all these values into the equation so ,

$y=mx+c$

$-5 = -\frac{3}{2}(4)+c$

$-5=-6+c$

$c=1$

now we know the value of slope which is given $-\frac{3}{2}$ and we found the value of which is 1 so we put these values into our original slope-intercept form equation

$y=mx+c\\\\y=-\frac{3}{2}x+1$

4 0

2 years ago

GIVING THE BRAINLIEST ANSWER

Ahat [919]

Answer:

(6,3)

Step-by-step explanation:

y=2/3 x - 1

y=-1/2 x + 6

Since both equations are equal to y, we can set them equal

2/3 x - 1 =-1/2 x + 6

We have fractions, so I will multiply by 6 to clear the fractions

6(2/3 x - 1) =(-1/2 x + 6)6

Distribute

4x -6 = -3x +36

Add 3x to each side

4x+3x -6 = -3x+3x +36

7x -6 = 36

Add 6 to each side

7x-6+6 = 36+6

7x = 42

Divide each side by 7

7x/7 = 42/7

x =6

Now we need to find y

y =2/3x -1

y = 2/3(6) -1

y = 4-1

y=3

(6,3)

5 0

3 years ago