MATHEMATICS MIDDLE SCHOOL

Is the quotient of 2 nonzero integers always an integer explain

Answers

Answer 1
Answer: integers are whole numbers, they can be positive or negative....they are not decimals or fractions.

quotient means divide...so lets pick 2 non zero integers....2 and 3....now divide them.
2/3 = 0.66....so ur answer is FALSE..because we took 2 non zero integers and divided them, but we didn't get an integer as an answer.

Sometimes it is true...but not all the time.
2/4 = 2...here it is true
2/3 = 0.666 ...here, it is not

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What is (-5/4) + 75/40 + 100% Please help and explain.

Answers

i think its 100.625... hope this helps :)

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans.If he has 18 shirts, how many pairs of jeans does he have?

Answers

9 jeans. 2 shirts per jean. And 18 divided by 2= 9

Is one third less than one half

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Yes. One half of something is bigger than 1/3 of it. Think of it as a pie. The more pieces you cut it into, the smaller they are. Therefore, if you cut it in 2 pieces and take one, it will be bigger if it were cut into 3 pieces.
Yes. One third is lest then one half.

Each day Steven walked 1/12 mile more than than the previous day. The first day he walked 1/12, the second he walked 2/12 mile, the third day he walked 3/12 mile. On which day did the sum of his walks total at least 1 complete mile?

Answers

It's the fifth day.
1/12 + 2/12 = 3/12.
3/12 + 3/12 = 6/12.
 6/12 + 4/12 = 10/12 and
10/12 + 5/12 = 15/12 which is one 1 3/12 or 1 1/4 mile.

So on the 5th day, Steven walks at least one complete mile

Which system of linear inequalities is represented by the
graph?

Answers

Answer:

y <x+1

y>x-2

Step-by-step explanation:

According to the graph, the system is formed by two inequalities. Let's find out the equation to each line in first place.

Notice that the upper line passes through points (-1,0) and (0,1). First, we find its slope

m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(1-0)/(0-(-1))=(1)/(1)=1

Then, we use the point-slope formula to find the equation

y-y_(1) =m(x-x_(1) )\ny-0=1(x-(-1)\ny=x+1

Now, the dashed line indiactes that the inequalities must have sings < or >.

Notice that point (0,0) is part of its solution, that means the inequality is

y <x+1

We do the same process to find the other inequality.

The line passes through points (0,-2) and (2,0).

m=(y_(2)-y_(1) )/(x_(2)-x_(1) )=(0-(-2))/(2-0)=(2)/(2)=1

Then,

y-y_(1) =m(x-x_(1) )\ny-0=1(x-2)\ny=x-2

Notice that point (0,0) is part of its solution, so the inequality is

y>x-2

Therefore, the system of inequalities is

y <x+1

y>x-2

Answer:

y<x+1      y>x-2

Step-by-step explanation:

upper line: (0,1) (-1,0)

y=x+1

Lower line: (0,-2) (2,0)

y=x-2

I did not see any solid boundry on the line

Shaded: y<x+1      y>x-2

What is 49% as a fraction?

Answers

.49 because that is said 49 hundredths, and a fractions is a given number over 100. But because it is less than 1 or 100% it must be a decimal.

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"You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=−40x+200, where x is the number of hours since your friend left home. You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant."