MATHEMATICS MIDDLE SCHOOL

Absolute value
k+3/2= 14

Answers

Answer 1
Answer: minus 3/2 both sides
k=14-3/2
k=12+4/2-3/2
k=12+1/2
k=12 and 1/2
Answer 2
Answer: k + 3/2 = 14
k - 3/2 = 14 - 3/2
k = 14 - 1 - 1/2
k = 13 - 1/2
k = 12 1/2

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Y = 4x+1 y=x^2 + 2x - 2 A.6,2 B. 2,6 C. -6,2 D. -6,-2

Answers

Answer:

The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

Step-by-step explanation:

Given that

y = 4x + 1  (i)

y = x^2 + 2x -2 (ii)

Now, by susbstituting the value of 'y' from equation i to equation ii, we get

4x+1=x^2 + 2x -2

0=x^2 + 2x -2-4x-1

0=x^2 + (2x -4x) +(-2-1)

0=x^2 + (-2x) +(-3)

0=x^2 -2x -3

x^2 -2x -3 = 0 (iii)

Now by factorization, equation iii can be written as

x^2 -3x +x -3 = 0

x(x -3) + 1(x -3) = 0

(x -3)(x +1) = 0

x = 3 and x = -1

By putting the values of x in equation i, we get

y = 4(3) + 1

y = 12 +1

y = 13

and

y = 4(-1) + 1

y = -4 +1

y = -3

Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

The sum of eight times a number and fifteen is seven

Answers

8x+15=7
8x=7-15
8x=-8
x=-8/8
x=-1
The answer is (8•x)15=7

The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?

Answers

In this case, the best method starts with finding one percent of the selling price.  To do this, divide the commission ($11825) by 5.5.  This gets you 1%, which is $2150.  Next, multiply this number by 100, turning 1% into 100%.  Your final answer is $215,000.

The distance of planet Jupiter from the Sun is approximately 7.8 ⋅ 108 kilometers, and the distance of planet Saturn from the Sun is 1.5 ⋅ 109 kilometers. About how many more kilometers is the distance of Saturn from the Sun than the distance of Jupiter from the Sun

Answers

Answer:

Option C is the correct answer,

Step-by-step explanation:

The distance of planet Jupiter from the Sun is approximately 7.8 x 10⁸ kilometers.

Distance from Jupiter to Sun = 7.8 x 10⁸ kilometers

The distance of planet Saturn from the Sun is 1.5 x 10⁹ kilometers.

Distance from Saturn to Sun = 1.5 x 10⁹ kilometers

Difference in distances = 1.5 x 10⁹ - 7.8 x 10⁸ = 15 x 10⁸ - 7.8 x 10⁸

Difference in distances = 7.2 x 10⁸ kilometers

Answer: Difference in distances = 7.2 x 10⁸ kilometers

Step-by-step explanation:

What is 12 12/8 rounded to the nearest thousands

Answers

Answer:

13.5

you do that by dividing 12 and 8 to get 1.5, then add that extra 12
13.5
You divide 12/8 and then add 12

Mario is making dinner for 9 people. Mario buys 6 containers of soup. each container is 18 ounces. if everyone gets the same amount of soup. how much soup will each person get?

Answers

First you multiply 6 and 18 to find the total servings: 6*18= 108. Then you divide 108 by 9 to see how many servings each person gets: 108/9= 12. Therefore, each person get 12 ounces of soup.
the amount they will get is the same as everyone else
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