All categories

2 years ago

Solve for x 7(3-x) = 8(4-2x)

Mathematics

1 answer:

Damm [24]2 years ago

7 0

Answer:

x = 11/9

Step-by-step explanation:

Eliminate parentheses, add 16x, subtract 21.

7(3 -x) = 8(4 -2x) . . . . given

21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property

9x +21 = 32 . . . . . . . . add 16x

9x = 11 . . . . . . . . . . . . subtract 21

x = 11/9 . . . . . . . . . . . .divide by the coefficient of x

You might be interested in

The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

There are 6 cubes in the figure
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

There are 6 cubes in the figure
2 cubes at the top and 4 at the bottom
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes + Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

5 0

1 year ago

4/5 + 2 /5 ÷ 2/ 3(they are fractions)PLEASE HURRY

chubhunter [2.5K]

Answer:

1.4 or in fraction form 7/5

Step-by-step explanation:

Hope this is what you were looking for

4 0

2 years ago

Which of the following are adjacent angles?

pickupchik [31]

Answer:

The first option

Step-by-step explanation:

Adjacent angles are just two angles next to each other

3 0

2 years ago

Read 2 more answers

f(x) = 500(1.05)x What was the average rate of change of the value of Sophia's investment from the second year to the fourth yea

hjlf

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=500(1.05)^x \qquad 
\begin{cases}
x_1=2\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(2)}{4-2}
\\\\\\
\cfrac{[500(1.05)^4]~-~[500(1.05)^2]}{4-2}\implies \cfrac{56.503125}{2}\implies 28.2515625$

6 0

3 years ago

Given the following set of data, which measures have a value of 6? (Check all that apply.)

Maru [420]

Answer:

Range, median & mean .....

3 0

3 years ago