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nadezda [96]
3 years ago
13

There are three different cubes such that the first cube is 64 times the volume of the second, and the volume of the second cube

is 27 times less than the volume of the third. Which among the following is the ratio of the side of the first cube to third cube?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:

V1 / V2 = 64

s1 / s2 = \sqrt[3]{64}  = 4

Doing the same for the second and third cubes, we have:

V2 / V3 = 1/27

s2/ s3 = \sqrt[3]{1/27}  = 1/3

So the ratio of the first cube side and the third cube side is:

s1 / s3 = (s1/s2) * (s2/s3) = 4 * (1/3) = 4/3

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Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles,
umka21 [38]

Answer:

They rode 14 miles before replacing each horse

Step-by-step explanation:

We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.

From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.

Distance each horse rode = 182/ 13 = 14 miles.

Therefore, each horse was ridden for 14 miles before it was changed.

5 0
3 years ago
Could anyone help me out, it’s would mean a lot.
SIZIF [17.4K]

Answer:

x = 19

Step-by-step explanation:

If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.

We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.

The sum of angles DBE and CBE = m<DBC = 90°

We can add the two angles and set it equal to 90 to find x

2x - 1 + 5x - 42 = 90\\7x - 43 = 90\\7x = 133\\x = \frac{133}{7} =19

6 0
3 years ago
Find the pay earned: 33 hours at $5.15 per hour
Inessa [10]
$169.95 

33*5.15=169.95
5 0
3 years ago
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Converting fractions to decimals worksheet 7th grade
oksano4ka [1.4K]
No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.
8 0
3 years ago
Point M is on line segment \overline{LN}
MissTica

Considering the relation built the presence of point M on line LN, the numerical length of LN is of 9 units.

<h3>What is the relation from the presence of point M on the line LN?</h3>

Point M splits line LN into two parts, LM and MN, hence the total length is given by:

LN = LM + MN.

From the given data, we have that:

  • LN = 2x - 5.
  • LM = 3.
  • MN = x - 1.

Hence we first solve for x.

LN = LM + MN.

2x - 5 = 3 + x - 1

x = 7.

Hence the total length is:

LN = 2x - 5 = 2 x 7 - 5 = 14 - 5 = 9 units.

More can be learned about relations and lines at brainly.com/question/2306122

#SPJ1

3 0
1 year ago
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