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Viefleur [7K]
3 years ago
5

How many ways can you select and arrange 5 books on a shelf out 13 books?

Mathematics
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

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)!}

In this question:

5 books from a set of 13. So

P_{(13,5)} = \frac{13!}{(13-5)!} = 154440

There are 154,440 ways.

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After adding an 8-pound box with 6 identical boxes, the box weighted 72 pounds. The equation is 6x + 8 = 72. What does X equal?
Marianna [84]

Answer: x = 10.6666666 or 10 2/3

Step-by-step explanation:

6x + 8 = 72

     - 8   -8

6x = 64

6x/6 = 64/6

x = 10.6666666 aka 10 2/3

8 0
3 years ago
Read 2 more answers
Choose ALL possible answers
muminat
Select all the correct answers:
1) Yes

2) No
x=8→h(8)=2(8)^2+5(8)+2=2(64)+40+2=128+40+2→h(8)=170
x=8→f(8)=3^8+2=6,561+2→f(8)=5,563>170=h(8)

3) Yes

4) No

5) Yes
rg=[g(3)-g(2)]/(3-2)=[g(3)-g(2)]/1→rg=g(3)-g(2)
g(3)=20(3)+4=60+4→g(3)=64
g(2)=20(2)+4=40+4→g(2)=44
rg=64-44→rg=20

rf=f(3)-f(2)
f(3)=3^3+2=27+2→f(3)=29
f(2)=3^2+2=9+2→f(2)=11
rf=29-11→rf=18

rh=h(3)-h(2)
h(3)=2(3)^2+5(3)+2=2(9)+15+2=18+15+2→h(3)=35
h(2)=2(2)^2+5(2)+2=2(4)+10+2=8+10+2→h(2)=20
rh=35-20→rh=15

rg=20>18=rf
rg=20>15=rh

6)  No
x=4→g(4)=20(4)+4=80+4→g(4)=84
x=4→h(4)=2(4)^2+5(4)+2=2(16)+20+2=32+20+2→h(4)=54
x=4→f(4)=3^4+2=81+2→f(4)=83>54=h(4)
f(4)=83<84=g(4)
7 0
3 years ago
6) What is 13% of 33.39?
icang [17]

Answer:

1. We assume, that the number 33.39 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 33.39 is 100%, so we can write it down as 33.39=100%.

4. We know, that x is 13% of the output value, so we can write it down as x=13%.

5. Now we have two simple equations:

1) 33.39=100%

2) x=13%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

33.39/x=100%/13%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13% of 33.39

33.39/x=100/13

(33.39/x)*x=(100/13)*x       - we multiply both sides of the equation by x

33.39=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x

33.39/7.6923076923077=x

4.3407=x

x=4.3407

now we have:

13% of 33.39=4.3407

Step-by-step explanation:

4 0
3 years ago
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Y=-x+8
gradient of the parallel line is the same as the gradient of the line given, which is -1
to find the y-intercept, sub the values (9,-1) into the equation we are finding which is y=-x+c
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Which measure is equivalent to 48 quarts?
Mice21 [21]
D is correct because the 48 quart * 4cup/1quart*8ounce/1Cup=1536 fl .oz

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