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TEA [102]
2 years ago
9

Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.

Mathematics
1 answer:
Gelneren [198K]2 years ago
5 0

Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

2:

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

4:

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

5:

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

6:

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

9:

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

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Which expression is equivalent to 5^4. (5^-3)^2?
disa [49]

Answer:

0.04

Step-by-step explanation:

5^4=625

5^-3= 0.008

0.008^2=0.000064

0.000064*625=0.04

4 0
3 years ago
A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x
iren2701 [21]

Answer:

The football is going to go over the goal post.  It will clear the goal post by (16-10)  6 ft

Step-by-step explanation:

y = -0.03x^2 + 1.6x

Let x = 40

We need to determine if y> 10

y = -0.03(40)^2  + 1.6(40)

y = -48+64

y =16


Since 16>10

The football is going to go over the goal post.  It will clear the goal post by (16-10)  6 ft

6 0
3 years ago
Read 2 more answers
Factoring polynomials
Anton [14]
That's not a question, so idk what you need me to answer.. sorry
3 0
3 years ago
How do you know that the sum of -2 3/4<br> and 5/9 rational?
Crank
The sum of any two rational numbers is rational. Both of these numbers are rational, therefore adding them will give us another rational number.
8 0
4 years ago
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A school has two pathways through the math program. At this​ school, 3/4 of students follow the first​ path, and the rest take t
VashaNatasha [74]

Answer:

3/5 of students who take the first path and pass

Step-by-step explanation:

* Lets explain how to solve the problem

- There are two pathways through the math program

- At this school 3/4 of students follow the first​ path

- The rest take the second path

- During one​ semester, 80% of the students who follow the first path

 pass the​ program

- 20​% of the students who follow the second path pass it

- We want to know the fraction of students who take the first path

 and pass

* Lets solve the problem

∵ 3/4 of students follow the first​ path

∵ The rest take the second path

∴ The fraction of the rest = 1 - 3/4 = 1/4

∴ 1/4 of the students follow the second path

∵ 80% of the students who follow the first path pass the​ program

∵ 80% = 80/100 = 8/10 = 4/5

∵ 4/5 of the students who follow the first path pass the​ program

∵ 3/4 of students follow the first​ path

∴ 4/5 of 3/4 of the students of the first path pass

∵ 4/5 of 3/4 = 3/5

∴ 3/5 of students who take the first path and pass

3 0
3 years ago
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