What is the Greatest common factor of 18x^2 and 36x

2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?

emmainna [20.7K]

Answer:

1 11/12 cups of water

8 0

2 years ago

Two workers, if they were working together, could finish a certain job in 12 days. If one of the workers does the first half of

SIZIF [17.4K]

Answer:

It would be 20 and 30 days respectively.

Hope this helps. :-)

4 0

3 years ago

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5-7 Please explain how to do step by step. 85 points ;) max

AleksandrR [38]

5a: To find the slope, you would divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. So coordinates (15,1.5) and (5,0.5). You would subtract 1.5 form 0.5 which gives you neagtive one. (-1) Then subtract 15 from 5 which is -10. (negative ten) -1 divided by -10 is one tenths. 1/10 is your answer to part a.

5b. To find the slope, you would divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. (Not sure what you meant by "interpret".

5c. The phone bill will increase by $0.50 if you talk for 5 extra minutes.

5d. You talked for 30 minutes if the phone bill costs $3.

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6a. I can't really graph it but I'll interpret the slope. Y would basically be 7.5 times as much as x.

6b. I'm kinda stuck on how to get from 7.5 to 1. Sorry. OnO

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7a. Hamburgers sell faster because there are 60 minutes in a hour. If 2.5 wraps are sold in one minute. Then there would be 150 wraps sold in 60 minutes which is also one hour. Hamburgers sell ten more than wraps per hour.

7b. The equation for wraps is: y=2.5x

The equation for hamburgers is y=2.6667x

Goodnight and hope it helps.~ RIP my sleep...

8 0

2 years ago

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Three rectangular-shaped holes have been drilled passing all the way through a solid 3 × 4 x 5 cuboid. The diagrams show the fro

sammy [17]

The volume of a cuboid implies the product of its length, width, and height. So that the fraction of the original cuboid that would remain is $\frac{7}{15}$ .

A cuboid is a solid derived from a rectangle, thus it has rectangular faces. Its volume can be determined by;

volume of a cuboid = length x width x height

In the given question, the volume of the original cuboid can be determined as;

volume = 3 x 4 x 5

= 60 Cubic units

Since holes can not be drilled at the intersection of the holes, then the volume of the hole has to be determined.

To determine the volume of the hole drilled, we have:

(6 x 3) + (3 x 2) + (2 x 2) = 28 Cubic units

So that the fraction of the original cuboid that would remain = $\frac{28 cubic units}{60 cubic units}$

= $\frac{7}{15}$

Therefore, $\frac{7}{15}$ of the original cuboid would remain.

Fro further clarifications on volume of a cuboid, visit: brainly.com/question/46030

#SPJ1

4 0

1 year ago

A study of college football games shows that the number of holding penalties assessed has a mean of penalties per game and a sta

Alisiya [41]

Answer:

The probability that the mean number of holding penalties per game is of X or less is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean number of penalties per game, $\sigma$ is the standard deviation and n is the number of games that will be sampled.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have that:

The mean number of penalties per game is $\mu$ and the standard deviation is $\sigma$ .

Sample of n games:

This means that $s = \frac{\sigma}{\sqrt{n}}$

What is the probability that, for a sample of college games to be played next week, the mean number of holding penalties will be X penalties per game or less?

The probability that the mean number of holding penalties per game is of X or less is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean number of penalties per game, $\sigma$ is the standard deviation and n is the number of games that will be sampled.

4 0

3 years ago