If a is an integer, when is a/b always equal to an integer?

Answers

Answer 1

Answer: a/b is always equal to an integer if the answer is a positive or negative whole number or zero. The answer cannot be a fractional number.

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What is 21/45 simplified?
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What is 2x6÷2+1 help me!

Answers

2×6÷2+1
=12÷2+1
=6+1
=7

You would first multiply the 2 and the 6 to get 12. Then you would divide the 12 by the 2 and get 6. Finally you would add one to 6 and get 7

List five numbers that hav 3,5,and 7 as prime factors

Answers

15 has prime factors of 5,3
21 has prime factors of 7,3
35 has prime factors of 7,5
105 has prime factors of 7,5,3
315 has prime factors of 7,5,3,3
hope this helps

National Oil Company reported a net loss last year of $14 million. This year their net gain is $65 million. How much more money did they make this year than last year?

Answers

They made 79 million more this year than they did last year

Answer:

$79 million

Step-by-step explanation:

An equivalent expression for 9z+27

Answers

Answer:

=9(z+3)

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you had to rewrite the problem down of 27=9*3

$9z+9*3$

Then, you can also factor it out by the common term of 9.

$=9(z+3)$

Hope this helps!

Thanks!

-Charlie

Final answer:

The equivalent expression for 9z+27 is 9(z+3). By factoring out the greatest common factor, we can simplify the expression and represent it in a different form. For example, if z=5, then the original expression 9z+27 is equal to 72, which is also the value of the equivalent expression 9(z+3).

Explanation:

The equivalent expression for 9z+27 is 9(z+3).

To find the equivalent expression, we can factor out the greatest common factor of the terms, which in this case is 9. We can rewrite the expression as 9(z+3), where z+3 represents the remaining terms after factoring out 9.

For example, if z=5, then the original expression 9z+27 becomes 9(5)+27 = 45+27 = 72, and the equivalent expression 9(z+3) also becomes 9(5+3) = 72.

Learn more about Equivalent expressions here:

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****BRAINLIEST The graph shows the solution for which inequalities?y ≥ x + 2 and y ≤ 2x + 3
y ≥ x - 2 and y ≤ 2x - 3
y ≥ 3x - 2 and y ≤ x + 3
y ≤ 3x - 2 and y ≥ x + 3

Answers

The graph shows the solution for the inequalities y ≥ 3x - 2 and y ≤ x + 3.

How can find the inequalities?

The inequalities can be found by substituting the coordinates of a point within the shaded area in both inequalities and seeing if they are satisfied.

We can find the inequalioties as follows:

The options are given.

Let us take the options one by one:

Option A: y ≥ x + 2 and y ≤ 2x + 3

Now, substitute (0,0) in the inequalities:

0 ≥ 2 and 0 ≤ 3

This is not true.

Option B: y ≥ x - 2 and y ≤ 2x - 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ - 3

This is not true.

Option C: y ≥ 3x - 2 and y ≤ x + 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ 3

This is true.

Option D: 0 ≤ - 2 and 0 ≥ 3

Now, substitute (0,0) in the inequalities:

0 ≥ - 2 and 0 ≤ - 3

This is not true.

Therefore, we have found that the inequalities are y ≥ 3x - 2 and y ≤ x + 3. The correct answer is option C.

Learn more about inequalities here: brainly.com/question/24372553

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Answer:

$y\geq 3x-2$ and $y\leq (1)/(2) x+3$

Step-by-step explanation:

Blue:

The inequality for the blue line is

$y\geq 3x-2$

Yellow

The inequality for the yellow line is

$y\leq (1)/(2) x+3$

This means that the correct answer is the third option,

$y\geq 3x-2$ and $y\leq (1)/(2) x+3$

Find the equation of the line that passes through the points (2,16) and (-1,7)

Answers

Use your slope formula (y2-y1)/(x2-x1) to get a slope of 3. Next you can use y=mx+b and fill in using one point and the slope and solve for b.16=3(2)+b. b=10y=3x+10

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