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fgiga [73]
3 years ago
9

Linear Equations. Solve the equation 5 = 3y +6 using inverse operations.

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

The value of y=\frac{-1}{3}.

Step-by-step explanation:

Considering the equation

5 = 3y +6

To solve the equation 5 = 3y +6 using inverse operations,

Subtracting 6 on both sides of the equation,

5-6 = 3y +6-6

Simplifying,

-1 = 3y

Dividing both sides by 3

\frac{-1}{3} =\frac{3y}{3}

\frac{-1}{3} =y

Switching both sides

y=\frac{-1}{3}

Therefore, the value of y=\frac{-1}{3}.

Keywords: equation, inverse operations

Learn more about equation, inverse operations from brainly.com/question/14623363

#learnwithBrainly

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Solve -1 < x + 1 ≤ 6
andrey2020 [161]

Answer:

-2<x≤5

Step-by-step :

-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.

-1<x+1≤6 I would start off by isolating x in the middle.

-1<x+1≤6 I subtracted 1 from all three sides.

-1     -1   -1

Now your equation should look like this:

-2<x≤5  Now there is really nothing much we can do here since we were just trying to get x by its self.

Answer : -2<x≤5

7 0
2 years ago
Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford
Evgen [1.6K]

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

8 0
2 years ago
Which is equivalent to 23·2-5?<br> A) 2-15 <br> B) 2-8 <br> Eliminate<br> C) 2-2 <br> D) 22
bulgar [2K]
2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
4 0
3 years ago
Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
find the slope between each pair of points please help with these three questions and i’ll mark the brain thing !
madam [21]

(If It's a number like this: 8/9 then it's a fraction)

Answer:

<h2><em><u>9. -2/6</u></em></h2><h2><em><u>10. -6/-10</u></em></h2><h2><em><u>11. 3/4</u></em></h2>

Step-by-step explanation:

Yay, I love doing these!

9.} 6 - 8 and 4- -2= -2/6

10.} 3 - 9 and -1 - 9= -6/-10

11.} -1 - -7 and 5 - -3= 6/8 simplify it by 2= 3/4

5 0
3 years ago
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