If line tw is parallel to line SX , m ? 1 = 59 , and m ? 6 = 72?, what is m ? 8?

Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the same number of g

Marta_Voda [28]

Answer: There were 8 granola bars in each box, x = 8.

Step-by-step explanation:

The first step is write an equation:

4x + 5x = 72

The second step is to combine like terms:

4x + 5x = 72

9x = 72

Step 3 is to use the properties of equality and inverse operations to solve the equation:

9x/9 = 72/9

x = 8

Since x = 8, there were 8 granola bars in each box.

I hope I helped and have a great day! Please mark me brainliest. ^-^

8 0

2 years ago

Read 2 more answers

A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacture

Zolol [24]

Answer:

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = $Length \times Width \times height$

Volume of solid = $(x+1) \times x \times (2x+1)$

Volume of solid = $(x^2+x)(2x+1)$

Volume of solid = $2x^3+x^2+2x^2+x=2x^3+3x^2+x$

We are given that a rectangular solid must have a volume of 84 cubic meters

So, $2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\$

On equating

x-3=0

x=3

So, Length of solid = x+1=3+1 = 4 feet

Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

8 0

3 years ago

Use the formula for perimeter. P=/+w+/+w P=_+_+_+_ P=_+_+_ P=__+_ P=__units

STALIN [3.7K]

1.A(rea)
2.W(idth)
3.W(idth)
4.P(erimeter)
5.A(rea)
6.A(rea)
7.W(idth)
8.A(rea)
The rest is perimeter

7 0

3 years ago

What is a four-sided polygon with one pair of parallel lines called?

katrin2010 [14]

Answer:parallelogram

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the line parallel to the graph of 9x + 3y = 6 that passes through (0,3).

sukhopar [10]

Answer:

y + 3x = 3

Step-by-step explanation:

Standard Form of the Equation of a Line

The equation of a line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of a line can also be expressed in slope-intercept form, where m is the slope, and b the y-intercept:

y = mx + b

Two lines are parallel if they have the same slope, that is if m1 is the slope of a given line, and m2 is the slope of a parallel line, then m2=m1.

We are given the line:

9x + 3y = 6

Dividing by 3:

3x + y = 2

Solving for y:

y = -3x + 2

The slope of this line is m1=-3, thus the slope of the required line is also m2=-3.

The equation of that required line is:

y = -3x + b

We still don't have the value of b. To find it, we substitute the coordinates of the given point (0,3):

3 = -3(0) + b

Thus, b = 3.

The required equation of the line is:

y = -3x + 3

To write it in standard form, we add 3x:

y + 3x = 3

3 0

3 years ago