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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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Write the ratio as<br> fraction in simplest form, with<br> 16 gal to 72 gal
V125BC [204]

Answer:

2/9

Step-by-step explanation:

16/72 simplify in calculator =2/9

5 0
2 years ago
Read 2 more answers
The hypotenuse of a right triangle is four times the length of one of the legs. The length of the other leg is 1500⎯⎯⎯⎯⎯⎯⎯⎯√ fee
Mrac [35]

Answer:

Step-by-step explanation:

So this is just playing with the pythagorean theorem

a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.

Let's say a is equal to 1500 so then c is 4 times b

1500^2 + b^2 = (4b)^2  Now we just treat this like a normal algebraic expression

2,250,000 = 16b^2 - b^2

2,250,000 = 15b^2

150,000 = b^2

sqrt(150,000) = b

100sqrt(15) = b

You can check this now.

1500^2 + sqrt(150,000)^2 = c^2

sqrt(2,250,000 + 150,000) = c

sqrt(2,400,000) = c

400sqrt(15) = c Which fits the requirement of c = 4b

7 0
3 years ago
If 5 bags of oranges weigh 35 pounds, how many pounds do 2 bags of oranges weigh?
guapka [62]

Answer:

C 14 pounds

Step-by-step explanation:

5 bags=35 pounds

1 bag=7 pounds

2 bags = 14 pounds

6 0
2 years ago
Read 2 more answers
I don’t understand this. The number line question the first one.
Mama L [17]

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

8 0
3 years ago
Here's the rest of the math questions 17 and 18
Lelu [443]

17. On average, Nestor works 7.5 hours of overtime in 4 weeks, so works an average of 7.5/4 = 1.875 overtime hours per week.

On average, each week Nestor gets paid for 7.5×5 + 2×1.875 = 41.25 hours, so is paid*

... (41.25 h)×($7.42/h) = $306.075

Each week Rita gets paid for 8×5 + 1.5×3 = 44.5 hours, so is paid

... (44.5 h)×($7.64/h) = $339.98

Their combined earning for a week are $306.075 + 339.98 = $646.055, so over a period of 12 weeks, they are paid a total of

... (12 weeks)×($646.055/week) = $7,752.66

18. Assuming Robin is paid time and a half for overtime, she was paid for

... 40 + 1.5×6 = 49 . . . hours

Then her hourly pay was ($392/week)/(49 hours/week) = $8.00 per hour

___

* The half-cent that shows up in Nestor's average weekly pay does not actually show up in Nestor's paycheck. Here, it is an artifact of dividing his monthly hour total by 4 to get a weekly average. Nestor's total pay for any given week is whole number of cents.

7 0
3 years ago
Read 2 more answers
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