All categories

2 years ago

Which expression is equivalent to 3(x – 6) + 5(x – 4)? A. 8x – 10 B. 15x2 – 38x C. 8x – 38 D. 9x – 22

Mathematics

2 answers:

Paul [167]2 years ago

7 0

Answer:

C. 8x – 38

Step-by-step explanation:

he equation.

All the options have the parenthesis solves, with all the numbers distribute, so first, you need to do that.

$3(x – 6) + 5(x – 4)=$

$(3*x) - (3*6) + (5*x) -(4*5)=$

now, solve what you can

$3*x=3x\\3*6=18\\5*x=5x\\4*5=20$

And put it all together

$3x - 18 + 5x - 20$

You can link the X therms and the no X terms

$(3x + 5x) =8x\\(-18 - 20) =-38$

And the final equation is: 8x - 38

sesenic [268]2 years ago

3 0

The answer is C.

3(x-6)+5(x-4) = 3•x+3•-6 = 3x-18 and 5•x+5•-4 = 5x-20

3x-18+5x-20

3x+5x = 8x and -18+-20 = -38

Which gives you...

8x-38

You might be interested in

A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound

Mnenie [13.5K]

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

$427.8 cm \leqslant perimeter < 428.2cm$

8 0

3 years ago

1. round the result to 2 decimal places. -0.9x+2.8=4.1

lora16 [44]

1. -0.9x+2.8=4.1
First subtract 2.8 from both sides.
-0.9x = 1.3
Now divide both sides by -0.9.
x = -1.4444..
This can be rounded to -1.44
c) -1.44

2. Jordan has 650 pennies. He'll give 85 to his brother and split the rest with his sister.
d) 85+2x=650

5 0

3 years ago

Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents

Marat540 [252]

Answer:

The percent markup is 91%.

Step-by-step explanation:

1. find the amount of profit per large bucket of popcorn

9 - 0.8 = $8.2

2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn

8.2 / 9 = 91%

3 0

3 years ago

Read 2 more answers

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

inna [77]

Given

$-2x-2y=8$

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

$\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}$

-Divide both sides by -2:

$\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}$

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

$\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}$

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8: