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anygoal [31]
1 year ago
9

It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 14 inches tall. How long will it tak

e the same hose to fill an aquarium measuring 23 inches by 25 inches by 33 inches?
Mathematics
1 answer:
kari74 [83]1 year ago
4 0

Answer:

66 minutes, or 1 hour and 6 minutes.

Step-by-step explanation:

let us first do the rectangular aquarium:

8 x 10 = 80

80 x 14 = 1120

now the second box

23 x 25 = 575

575 x 33 = 18975

we can divide the boxes volume:

18975/575 = 33

so all we have to do is times 33 by 2 which equals:

66 minutes, or 1 hour and 6 minutes.

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Step-by-step explanation:

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3 years ago
Two boys who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. In how many h
aniked [119]
Since you have the answers given, just track their walking.
After one hour, one guy has covered 3mi and the other 4mi, which is in total 7, not 14
After 2 hours, one guy has covered 6mi and the other 8mi, which is 14mi

The algebraic way would be:
3x +4x = 14 *x being the hour
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6 0
3 years ago
Read 2 more answers
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

8 0
3 years ago
Read 2 more answers
Greg bought 2 boxes of balloons. He used half of them to decorate his yard. he used 40 to decorate his porch. and used the rest
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20 I'm guessing? Hope this helps!
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3 years ago
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