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2 years ago

How do I write this expression in fewer terms? 9m + k - (3m-2k)

2 answers:

6 0

The answer to this question is 3(2m+k) because this has been simplified. You just need to collect terms together! 3(2m+k)

ahrayia [7]2 years ago

5 0

Let's start by applying the negative to (3m-2k)

since a negative x positive is a negative, and a negative x negative is a positive, we get

9m + k - 3m + 2k

let's simplify

9m - 3m + 2k + k

ANSWER
6m + 3k

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irinina [24]

But, the y intercept is 2.

4 0

2 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago

Find the value of x.

slavikrds [6]

Answer:

$x=11$

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

$(x+5)=\frac{1}{2}(3x-1)$

solve for x

Multiply by 2 both sides

$2x+10=3x-1$

subtract 2x both sides

$10=3x-1-2x$

$10=x-1$

Adds 1 both sides

$x=11$

3 0

2 years ago

(-16,20),(-6,-15) what’s the slope

Sonbull [250]

Answer:

-3.5

Step-by-step explanation:

To find the slope we use

m = (y2-y1)/(x2-x1)

= (-15-20)/(-6 - -16)

=(-15-20)/(-6+16)

-35/10

= -3.5

5 0

2 years ago

How do you tell if a number is irrational or rational?

Korvikt [17]

A rational number is any number that can be expressed as a fraction
(ex: -5/2, 4 1/7, and 8/13)

An irrational number is any number that cannot be expressed as a fraction; a non-repeating, non-terminating decimal (ex: pi, 0.121231234...)

Hope this helps! :)

6 0

3 years ago