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3 years ago

18 = 3(3x – 6) Step by step

1 answer:

3 0

Start by multiplying 3 times 3x to get 9x. Then multiply 3 times -6 to get -18
After that your equation is 18=9x-18
Then your going to add 18 to each side so your equation should be 36=9x
Then devide each side by 9 so the answer will be x=4

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

7 0

1 year ago

What linear function is the most useful

Sonbull [250]

The slope-intercept is most usefull

6 0

3 years ago

Which of the following are ways whole numbers and rational numbers are different? Select all that apply. ︎whole numbers are a su

mihalych1998 [28]

Answer:

asd

Step-by-step explanation:

asd

8 0

3 years ago

a student athlete runs 3 1/2 miles in 30 minutes. A professional runner can run 1 1/4 times as far in 30 minutes. How far can th

tresset_1 [31]

3 1/2 * 1 1/4 =
7/2 * 5/4 =
35/8 = 4 3/8 miles <==

3 0

3 years ago

Read 2 more answers

The box-and-whisker plot below represents some data set. What is the minimum value of the data?

ExtremeBDS [4]

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

6 0

2 years ago