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Nady [450]
2 years ago
9

Justify each step of this inequality by stating the property that was used to get to each step. Given: -5(r+3)<12-10r+3r Prop

erty used: Step 1: -5(r+3)<12-7r Step 1: Step 2: -5r-15<12-7r Step 2: Step 3: 2r-15<12 Step 3: Step 4: 2r<27 Step 4: Step 5: r<13.5 Step 5:
Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

We have:

Given:

-5(r+3)

Step 1: Combining Like Terms (on the right):

-5(r+3)

Step 2: Distributive Property (distribute the -5 on the left):

-5r-15

Step 3: Addition Property of Equality (add 7r to both sides):

2r-15

Step 4: Addition Property of Equality (add 15 to both sides):

2r

Step 5: Division Property of Equality (divide both sides by 2):

r

And we're done!

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Ierofanga [76]

Step-by-step explanation:

horizontal lines will have a gradient(m) of 0

so if m=0 , the line is horizontal

formula to find m:

m=y2-y1 / x2-x1

insert coordinates into formula

m =  \frac{ - 2 - ( - 2)}{ - 4 - 3}  \\  \\ m =  \frac{ - 2 + 2}{ - 7}  \\ m =  \frac{0}{ - 7}  \\ m = 0

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hope this helps..

3 0
2 years ago
What are the lcm of 4,2,4
Delicious77 [7]

The least common multiple of  2  and  4  is  4 .

Here's a useful hint to keep in mind:
If the smaller number is a factor of the larger number,
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5 0
3 years ago
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hammer [34]

The probability can be calculated as given because there are a total of 52 cards.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

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Thus, the probability can be calculated as given because there are a total of 52 cards.

Learn more about the probability here:

brainly.com/question/11234923

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Step-by-step explanation:

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3 years ago
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