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3 years ago

3/5 (10+5x)−1/3(6x+3)=9 ok answer fast

Mathematics

1 answer:

Anton [14]3 years ago

6 0

Answer: x = 4

Step-by-step explanation:

$\dfrac{3}{5}(10 + 5x) - \dfrac{1}{3}(6x + 3)=9$

$\dfrac{3}{5}(10 + 5x)(15) - \dfrac{1}{3}(6x + 3)(15)=9(15)$ multiplied by common denominator

3(10 + 5x)(3) - 1(6x + 3)(5) = 9(15) reduced all fractions

90 + 45x - 30x - 15 = 135 distributed

15x + 75 = 135 simplified (added like terms)

15x = 60 subtracted 75 from both sides

x = 4 divided 15 from both sides

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Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....

shutvik [7]

Answer:

$The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

Step-by-step explanation:

Formula for slope

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$m = \frac{- 5- (-4)}{1 - 8}$

$m = \frac{- 5 + 4}{1 - 8}$

$m = \frac{- 1}{-7}$

$m = \frac{1}{7}$

$Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

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3 years ago

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Jessica bought a computer for $325 and had to pay 6% sales tax. What was the total cost of Jessica’s computer?

EastWind [94]

C.) 344.50

Take what she paid before tax (325) and multiply it by 1.06 (the tax rate) and there's your answer.

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3 years ago

Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply

Genrish500 [490]

Answer:

a and d is the correct answer

Step-by-step explanation:

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3 years ago

Find f(-3) for f(x)=3x^2+5x-14

Afina-wow [57]

Answer:

-2

Step-by-step explanation:

f(x)=3x^2+5x-14

f(-3)=3(-3)^2+5(-3)-14

f(-3)=3(-3)(-3)-15-14

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3 years ago

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27x + 24y= 4.5 1.5x + y =0.225

Goryan [66]

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

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3 years ago

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