Solve for x 6(x-1)=9(x+2)

Answers

Answer 1
Answer: Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
Answer 2
Answer: 6(x-1)=9(x+2)
6x-6=9x+18
6x=9x+24
-3x=24
-x=8
x=-8

Related Questions

A bakery has 72 half-gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup=1/8 half- gallon. How many cakes can the bakery make?
I have a triangle with side lengths of 2 cm, 3 cm, and 4 cm. If I have a second triangle that is similar that has a shortest side length of 4 cm, what is the longest side length?
What is the area of the shaded region? A. 21 mm squared B. 24 mm squared C. 42 mm squared D. 48 mm squared
12x=7y-10yis this a linear equation?what is it in standard form?
Joe works on an assembly line that fills boxes with various toy trinkets. Every sixth box gets a red ball and every eighth box gets a blue whistle. How often does a box get both a red ball and a blue whistle?

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation. 
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value


In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅A. ∠C
B. ∠S
C. ∠T
D. ∠R

Answers

Answer:

b

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Solve the following linear inequality: 

3(x + 4) ≥ 5x – 123

Answers

3(x+4)\geq5x-123\n3\cdot x+3\cdot4\geq5x-123\n3x+12\geq5x-123\ \ \ \ /-12\n3x\geq5x-135\ \ \ \ /-5x\n-2x\geq-135\ \ \ /:(-2) < 0\ then\
3(x + 4) \geq 5x - 123 \n 3x+12\geq5x-123\n 2x\leq135\n x\leq(135)/(2)

What is a multiplier and a divisor

Answers

A multiplier is something you multiply by a divisor is something you divide by I hope I can help you

Answer:  Multiplier, mathematics The number by which another number is multiplied. In 8 × 32, the multiplier is 8. Physics A device, such as a phototube, used to enhance or increase an effect.

               Divisor, The number we divide by. dividend ÷ divisor = quotient. Example: in 12 ÷ 3 = 4, 3 is the divisor. Divisor can also mean: a number that divides an integer exactly (no remainder). See: Divisor (of an Integer)

Step-by-step explanation:

Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n+1.2m represent? What does the entire expression represent?

Answers

1.4n represents the price and number of packages of pencils. 1.2m represents the number of paper pads and the price

Ashley invests $9,720 in a one-month money market account paying 3.16% simple annual interest and $8,140 in a two-year CD yielding 3.23% simple annual interest. Assuming Ashley does not reinvest or renew these investments, how much money will she have when both investments reach maturity, to the nearest dollar?a.
$550
b.
$1,080
c.
$17,310
d.
$18,411

Answers

Answer:

Total Amount ≈ $18,411.59

D.

Step-by-step explanation:

In order to determine the total amount that Ashley will possess when both investments reach maturity, one may utilize the formula for simple interest:

Simple Interest (I) = P * r * t

Where:

I = Interest earned

P = Principal amount (initial investment)

r = Annual interest rate (expressed as a decimal)

t = Time (in years)

The interest for each investment may be calculated as follows:

For the one-month money market account:

P1 = $9,720

r1 = 3.16% or 0.0316 (as a decimal)

t1 = 1/12 year (one month is 1/12 of a year)

I1 = 9,720 * 0.0316 * (1/12) = $25.63 (rounded to the nearest cent)

For the two-year CD:

P2 = $8,140

r2 = 3.23% or 0.0323 (as a decimal)

t2 = 2 years

I2 = 8,140 * 0.0323 * 2 = $524.96

The total amount that Ashley will possess when both investments reach maturity may now be calculated as follows:

Total Amount = P1 + I1 + P2 + I2

Total Amount = $9,720 + $25.63 + $8,140 + $524.96

Total Amount ≈ $18,411.59

Rounded to the nearest dollar, Ashley will possess approximately $18,412 when both investments reach maturity.