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olchik [2.2K]
3 years ago
7

Are the following expressions equivalent? Why or why not? 6(2x + 4) and 12x + 24

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer: Yes

Step-by-step explanation:

When using the distributive property, 6(2x + 4) becomes 12x + 24

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 12x + 24

Therefore, the expressions are equivalent.

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
11 months ago
What is the first quartile, Q1, of the data set? {36, 45, 79, 80, 82, 85, 90} Enter your answer in the box. Q1 =
MrRa [10]
The upper quartile is, Q1, is 45. The lower quartile, Q2, is 85. The interquartile range is 40. I hope this helps!
8 0
3 years ago
What is 4x-4y/2=x+2 in slope intercept form?
Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0
3 years ago
What is the x-intercept and y-intercept of y=3x^2+6x+5
Eva8 [605]
There is no X But Y is (0,5)
5 0
3 years ago
What is the domain of the function in the graph?
Tpy6a [65]
The answer is A.
D= 6<=x<=11
8 0
3 years ago
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