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Anuta_ua [19.1K]
3 years ago
14

What is the equation of the line that passes through the points (-2, 3) and (2, 7)?

Mathematics
1 answer:
klemol [59]3 years ago
5 0
X -y = -5

To see that substitute the points.

First, point (-2,3)

-2 - 3 = -5

Now second point (2,7)

2 - 7 = -5

As you have seen, both points belong to the equation x - y = -5
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Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each t
Talja [164]

Answer: <u>30</u>

Step-by-step explanation:

Yvette- <em>100-7</em>

Isandro- <em>0+3</em>

1.) I'm going to speed up the process and multiply by 5.

Yvette: <em>100-7</em>

7  × 5 = 35

100-35= 65

65-35= 30

Isandro: <em>0+3 </em>

3 × 5 = 15

0+15= 15

15+15=<em> </em>30

2.) If they keep going on this pattern they will have the same number on the 10 round.

7 0
2 years ago
WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION
Alex73 [517]
\frac{4}{1}×\frac{2}{3}=\frac{8}{3}
You then divide the numerator(top) by the denominator(bottom)
\frac{8}{3}=2 \frac{2}{3}
Your answer is 2 \frac{2}{3}
3 0
3 years ago
Read 2 more answers
Solve the following inequality.
Luden [163]
First simplify.
-\frac{2}{3}x \ \textgreater \  \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  -\frac{2x}{3}

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \  \frac{2x}{3}\ \textless \ -8

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \  Simplify \ \textgreater \  2x\ \textless \ -24

\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \  \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \  Simplify \ \textgreater \  x\ \textless \ -12

Therefore\; x\ \textless \ -12 \;is\;our\;answer!

Hope this helps!
7 0
3 years ago
3 different numbers which are all equivalent to 10
Zolol [24]

Answer:

2 4 6

Step-by-step explanation:

3 0
3 years ago
Membership to a music club costs $165. Members
dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

165+25m

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

40m

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

165+25m=40m

And solve for m. Let's subtract 25m from both sides:

165=15m

Now, divide both sides by 15:

m=11

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0
3 years ago
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