MATHEMATICS MIDDLE SCHOOL

What is the solution to the equation 8-2b= -2/3(12b+6) ?

b =??????????????

Answers

Answer 1
Answer: ok so remember you can do anything to an equaiton as long as you do it to both sides

-8-2b=-2/3(12b+6)
distribute so we can work with innter terms
a(b+c)=ab+ac
-2/3(12b+6)=-24b/3-12/3=-8b-4

we now have
8-2b=-8b-4
get all b's on one side
add 8b to both sides
8+8b-2b=8b-8b-4
8+6b=0-4
8+6b=-4
subtract 8 fro both sides
8-8+6b=-4-8
0+6b=-12
6b=-12
divide both sides by 6
6/6b=-12/6
1b=-2
b=-2



b=-2
Answer 2
Answer: So the answer would be b=-2. The steps of this is you would refine -2/3 (12b+6) to -4(2b+1) so then the equation would turn into 8-2b= -4 (2b+1). Then you would expand -4(2b+1) into -8b+4. So now the equation is 8-2b=-8b-4. Then you'd subtract 8 from both sides: 8-2b-8=-8b-4-8 which is -2b=-8b-12. Then you'd add 8b to each side. -2b+8b=-8b-12+8b that equals 6b=-12. Then you divide both sides by 6: 6b/6=-12/6. Then you get b= -2. Hope this helped. 

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Please simplify this equation​

Answers

|18 + 7| / 10 is equal to 25/10

|-16 + 26| / 6 is equal to 10/6

25/10 can be multiplied by 3 to get 75/30

10/6 can be multiplied by 5 to get 50/30

75/30 - 50/30 = 25/30 and that simplifies to C) 5/6

Which ordered pair in the form (a, b) is a solution of this equation?7a – 5b = 28


A.
(4, 0)

B.
(0, 4)

C.
(–2, –3)

D.
(–3, –2)

Answers

A. \n (4,0) \na=4 \n b=0 \n \Downarrow \n 7 * 4-5 * 0 \stackrel{?}{=} 28 \n 28-0 \stackrel{?}{=} 28 \n 28\stackrel{?}{=} 28 \n 28=28 \ntrue

B. \n (0,4) \na=0 \n b=4 \n \Downarrow \n7 * 0 - 5 * 4 \stackrel{?}{=} 28 \n0-20 \stackrel{?}{=} 28 \n-20 \stackrel{?}{=} 28 \n-20 \not= 28 \nnot \ true

C. \n(-2,-3) \na=-2 \n b=-3 \n \Downarrow \n7 * (-2) - 5 * (-3) \stackrel{?}{=} 28 \n-14+15 \stackrel{?}{=} 28 \n1 \stackrel{?}{=} 28 \n1 \not= 28 \nnot \ true

D. \n(-3,-2) \na=-3 \n b=-2 \n \Downarrow \n7 * (-3) -5 * (-2) \stackrel{?}{=} 28 \n-21 +10 \stackrel{?}{=} 28 \n-11 \stackrel{?}{=} 28 \n-11 \not= 28 \n not \ true

The answer is A.

Caroline baked 3 dozen oatmeal raisin cookies for the bake sale at school this is 1/4 the number of dozens of cookies she baked in all

Answers

Answer:

12 dozen oatmeal raisin cookies

because you would multiply 3 by 4 to get the total amount of cookies that Caroline made

Describe how you could draw a diagram for a problem about finding the total length for 2 strings, 15 inches long and 7 inches long.

Answers

Answer: You could add the strings together to get 22 inches.

For a diagram of this simply draw two line segments that are right next to each other.

You could measure and label the smaller one with 7 units and the larger one with 15 units. Then, anyone could just count to 22 to find the total.

Order -3.98, 3 8/9, -3 11/12, and 3.9 repeated from least to greatest

Answers

Answer:

Step-by-step explanation:

-3.98

3 8/9 = 3.888 (repeating)

-3

3.9

least to greatest :

-3.98 , -3, 3 8/9, 3.9

3x + 4y =10 6x -2y = 40

Answers

Simplifying

3X + 10 = 6X + 40

Reorder the terms:

10 + 3X = 6X + 40

Reorder the terms:

10 + 3X = 40 + 6X

Solving

10 + 3X = 40 + 6X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-6X' to each side of the equation.

10 + 3X + -6X = 40 + 6X + -6X

Combine like terms: 3X + -6X = -3X

10 + -3X = 40 + 6X + -6X

Combine like terms: 6X + -6X = 0

10 + -3X = 40 + 0

10 + -3X = 40

Add '-10' to each side of the equation.

10 + -10 + -3X = 40 + -10

Combine like terms: 10 + -10 = 0

0 + -3X = 40 + -10

-3X = 40 + -10

Combine like terms: 40 + -10 = 30

-3X = 30

Divide each side by '-3'.

X = -10

Simplifying

X = -10
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