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3 years ago

How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?

Mathematics

2 answers:

Len [333]3 years ago

7 0

Answer:

6y - x = -30 and 5y - x = 10

Step by Step:

They want you to remove the fractions from the x-values. How can we remove the 1/6 from the x in the first equation? We can multiply the entire equation (both sides) by 6 because it cancels out the 1/6 found in the x-value. This achieves 6y = x - 30 for our first equation. This can be changed to 6y - x = -30.

How can we remove the 1/5 from the x-value in the second equation? We can multiply the entire equation by 5, since that cancels with the 1/5 coefficient found in the x-value. This gets us 5y = x + 10. This can be changed to meet our answer choices to 5y - x = 10.

s2008m [1.1K]3 years ago

5 0

For problems like these, we can set both sides of the equation equal to y. This is because both sides of the equation are equal to each other. If we were to take the left side of the equation and set it equal to y, the right side would also be equal to y. Similarly, if we were to set the right side of the equation equal to y, the left side of the equation would also be equal to y. Setting both equations equal to y will produce two equations which can be used in a system of equations.

Thus, our answer is:
y = (1/6)x - 5
y = (1/5)x + 2

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4 years ago

What is x/5+7=16 gonna be?

Margarita [4]

x=45

Step-by-step explanation:

x/5+7-7=16-7

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3 years ago

Help help help help help help

Semenov [28]

Okay okay okay

Answer:

r = $\frac{30}{71}$

Step-by-step explanation:

12 - $\frac{r}{6}$ = 5

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71r = 30

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3 years ago

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In a school survey, three homerooms are chosen and 10 students from each homeroom are randomly chosen to complete the survey. Id

lesya [120]

Answer:

This sampling method used in this question is the stratified sampling method.

Step-by-step explanation:

There are about 5 known sampling methods.

- Random Sampling

In random sampling, each member of the population has an equal chance of being surveyed. All the students are given a number and random numbers are generated to pick the students to be surveyed.

- Systematic sampling

This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.

- Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.

- Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.

- Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from all or some of these strata using either random, systematic, or convenience sampling. This is evidently the answer to the question as the students are divided into homerooms (strata) and samples are now randomly taken from 3 randomly selected strata.

Hope this Helps!!!

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3 years ago