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Zina [86]
3 years ago
15

An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf? Explain.

Mathematics
1 answer:
aev [14]3 years ago
7 0
Imagine there are 8 spots on the shelf. Replace the volumes one by one. The first volume to be replaced could go in any one of the eight spots. The second volume to be replaced could then go in any one of the seven remaining spots. The third volume to be replaced could then go in any one of the six remaining spots. etc So the total number of ways the eight volumes could be replaced = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
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Y = 1/2x - 4 Slope: X-intercept: Y-intercept:​
ValentinkaMS [17]

Answer:

Slope = \frac{1}{2} , X-intercept = 8 , Y-intercept  = -4

Step-by-step explanation:

the following equation is given in slope intercept form which is y = mx + b where m is the slope and b is the y intercept

since m = \frac{1}{2} and b = -4, we can say our slope is \frac{1}{2} and y intercept is -4.

Recall that x intercept occurs when y = 0 so plug y = 0 in the equation then solve for x

0 = \frac{1}{2}x - 4

add 4 to both sides,

4 = \frac{1}{2}x

multiply by 2 on both sides,

4*2 = x

8 = x

x = 8

so our x-intercept is 8

8 0
3 years ago
I'd appreciate it if you'd help! :)
liberstina [14]

The answer to your question would be

m=100d+200

why?

Well it took her 2 days to drive 200 mile so she drives 100 miles per day.

since she is already gone 200 miles you just add 100 times the days it takes.


Hope this helps


3 0
3 years ago
1 5/8 divided by 3/8? Show your work pls.
Dafna1 [17]
Change mixed fraction to improper fraction and also the second fraction has to be reciprocal

Ex- 3/8= 8/3

So now the problem is

13/8*8/3= 13/3 (because you cross divide) Now, turn into fraction

Divide

13 divided by 3= 4 1/3

So your final answer is 4 1/3
7 0
3 years ago
Read 2 more answers
20 pts to this question. Its a photo.
klio [65]

Answer:

2 and 8

Step-by-step explanation:

there on opposite sides and are exterior

7 0
4 years ago
Solve the inequality -1/3h_<7
elixir [45]

Answer:

The solution to the given inequality

 h\geq \frac{-1}{21}

Step-by-step explanation:

Given inequality

                      \frac{-1}{3h} \leq 7

             ⇒     -1≤ 7× 3h

             ⇒     -1 ≤ 21 h

             ⇒    21 h ≥ -1

            ⇒       h\geq \frac{-1}{21}

5 0
3 years ago
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