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3 years ago

Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

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Answer:

Option (A)

Step-by-step explanation:

From the table attached,

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Similarly, dependent variable 'y' will be on y-axis.

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Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

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2 years ago

You are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this

mina [271]

Answer:

negative relationship.

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Cause and effect can be defined as the relationship between two things or events in which an occurrence one (cause) leads to the occurrence of another (effect).

A negative relationship or correlation can be defined as the relationship between two variables in which there exist an inverse relationship between them i.e as one variable increases, the other decreases and vice-versa.

In this scenario, you are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a negative relationship between the temperature and hot beverage sales at this coffee shop because for the temperature to get colder it would decrease and for the hot beverages to be hot, its temperature must be increased.

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3 years ago

What Does The M And B Stand For In y=mx+b

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Answer:

The 'm' stands for slope and the 'b' stands for the y-intercept, which is where the line crosses the y-axis.

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3 years ago

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Sedaia [141]

Answer:

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Step-by-step explanation:

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Remember that the tan of an angle is OPP/HYP, and so

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d tan A/dA = sec^2 A = (1/25) dh/dA

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25 sec^2 A * dA/dt= dh/dt = 5

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3 years ago

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Damm [24]

Answer:

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Step-by-step explanation:

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This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

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