a box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible number of marbles In the box?

Answers

Answer 1

Answer: If there are 4 marbles left over each time, then we can forget about them for now.

So the question is, what is the smallest number than can be divided into 6,7 and 8?

the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.

so for our purposes we can "delete" one 2 and ask:

what is the smallest number than can be divided into 3,7 and 8 ?

There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168

and the 4 marbles "extra"? We add them to this sum.

the the smallest possible number in the box is 168+4=172.

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Question 10Round the following number to the nearest cent.$2,399.0996
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30:90 three equivalent ratios

Answers

Divide both terms of the ratio by a same number, as 10, 30 and 15, for example:

$(30)/(90)=(3)/(9)=(1)/(3)=(2)/(6)...$

3:9
1:3
90:270
these are equivalent to 30:90

What is the approximate volume of the cylinder? height = 52.2 cm; diameter = 20 cm

A.
1640 cm3

B.
3300 cm3

C.
16,400 cm3

D.
65,600 cm3

Answers

h = 52.2 diameter = 20 cm
radius = 10 cm
Cylinder volume = π • r² • height
Cylinder volume = PI * 100*52.2

Cylinder volume = 16,399
answer is C

Jill says that 12.6 repeating is less than 12.63. Explain her error.

Answers

She is wrong because 12.66 is greater than 12.63. The last digit of 12.66 (6) is larger than the last digit of 12.63 (3) Even if 12.6 keeps on going (12.66666.....) 6 will always be bigger than 3.
Hope that helped :)

12.6 repeating is the equivalent of 12.666666666666 and so on but if you rounded, it would be 12.67. So, compare 12.67 and 12.63. 12.67 is larger.

The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on this constant rate of change, what is the cost of 4 movie tickets?(too lazy its 10:30)
Thanks!

Answers

Four tickets would cost $30. If you get the price of 2 tickets ($15) then multiply it by 2 then you will get your answer ;)

30.00 You multiply 7.50 * 4 and it gives you 30

Can somebody help me with this?

Answers

Answer:

E) 1/2

Step-by-step explanation:

This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.

First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: $a^(2) + b^2 =c^2$