Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!

8 0

3 years ago

Write an equation of the line that passes through the given points. (-2,8) and (1, -1)

KIM [24]

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

<h2>Therefore equation: y = -7x/3 + 10/3 </h2>

6 0

3 years ago

Answers for these im strugglinh

Rainbow [258]

Answer:

Step-by-step explanation:

40.

Multiples of 3: 3,6,9,12, 15, …

Multiples of 5: 5, 10, 15, 20, …

LCM of 3 and 5 is 15

Multiples of 6: 6, 12, 18, 24,…

Multiples of 9: 9, 18, 27,…

LCM of 6 and 9 is 18

42.

1/2 and 2/3

denominator 2 has multiples: 2, 4, 6, 8, 10, 12 …

denominator 3 has multiples: 3, 6, 9, 12,…

LCD of 1/2 and 2/3 is 6

equivalent fraction 1/2 = 3(1/2) = 3/6

equivalent fraction 2/3 = 2(2/3) = 4/6

43.

5/12 and 2/15

denominator 12 has multiples: 12, 24, 36, 48, 60…

denominator 15 has multiples: 15, 30, 45, 60…

LCD of 5/12 and 2/15 is 60

equivalent fraction 5/12 = 5(5/12) = 25/60

equivalent fraction 2/15 = 4(2/15) = 8/60

44.

16/48 has the prime factorization 2*2*2*2/ 2*2*2*2*3

16/48 simplification is 1/3

45.

12/40 has the prime factorization 2*2*3/2*2*2*5

12/40 simplification is 3/ 10

46.

18/63 has the prime factorization 2*3*3/ 3*3*7

18/63 simplification is 2/7

5 0

3 years ago

Which expression represents the distance between the two points, X and Y, on the number line

balandron [24]

The expression representing the distance is
0

7 0

3 years ago