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scoray [572]
3 years ago
13

William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

24

Step-by-step explanation:

Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people

Now only the remaining 3 can come second - 3 people

Next, only the remaining 2 people can come third - 2 people

Finally, one person comes last - 1 person

4 x 3 x 2 x 1 = 24

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1.2x + 3 =4x + 2
Dmitry_Shevchenko [17]
1. 2x+3=4x+2
  ⇒ 4x-2x=3-2
2x=1
x=1/2
There is one solution.

2. 18p-10p=5+6/2
8p=5+3
8p=8
p=8:8
p=1

3. 6a/3=2a
2a-a= -2 -3
a= - 5

4. 5+r-2=9,
 5-2+r=9
3+r=9
r=9 - 3
    r=6

5. -0,9 m= 9
     m= - 10

6. -2 (x+1/4)=5-1=4
     x+1/4= -2
     x= -2 - 1/4
     x= -8/4 - 1/4= - 9/4

7. 6f+4f= 6 + 12
    10 f = 18
      f=18/10=1,8

8. 7n - 3n= 16
    4n=16
    n=16:4
    n=4

9. 1/3m-5/6m= - 15 - 3
     2/6 m-5/6=-18
     - 3/6m=-18  ⇒ 1/2m=18
       m=2*18=36
     
7 0
2 years ago
Another way to write 9 x 200
Katyanochek1 [597]
200+200+200+200+200+200+200+200+200
6 0
3 years ago
Read 2 more answers
2. Saul invested an average of $425 per month since age 30 in various securities for his
BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

5 0
3 years ago
Please help with areas
Softa [21]

Answer:

Step-by-step explanation:

7) The formula for determining the area of a parallelogram is expressed as

Area = base × height.

Length of base = Area/height

Therefore,

Length of base = 7/2 = 3.5 feet

8) The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of the bases

h is the height. Therefore

21 = 1/2(2 + 4)h

21 = 3h

h = 21/3 = 7 inches

9) Area = base × height.

Height = Area/Length of base

Height = 28/14 = 2 inches

10) a and b are 10 inches each.

Area = 1/2(a + b)h

Therefore,

35 = 1/2(10 + 10)h

35 = 10h

h = 35/10

h = 3 inches

7 0
2 years ago
The difference of 8 less a number n, multiplied by twelve, is equal to 3 more than the number. Which of the following equations
makkiz [27]

Answer:

The equation that can be used to find the missing number is 96 - 12n = 3 + n

Step-by-step explanation:

The difference of 8 less a number n

This is 8 - n

Multiplied by twelve

This is:

12(8 - n) = 96 - 12n

Is equal to 3 more than the number.

96 - 12n = 3 + n

The equation that can be used to find the missing number is 96 - 12n = 3 + n

3 0
3 years ago
Read 2 more answers
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