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elena-14-01-66 [18.8K]
2 years ago
5

Solve this equation: 8(3x - 6) = 6(4x + 8) *

Mathematics
1 answer:
lana [24]2 years ago
5 0

Hey there!

8(3x - 6) = 6(4x + 8)

8(3x) + 8(-6) = 6(4x) + 6(8)

24x - 48 = 24x + 48

SUBTRACT 24x to BOTH SIDES

24x - 48 - 24x = 24x + 48 - 24

SIMPLIFY IT!

NEW EQUATION: -48 = 48

ADD 48 to BOTH SIDES

-48 + 48 = 48 + 48

NEW EQUATION: 0 = 96

Thus this makes your equation has

NO SOLUTION.

Therefore, your answer is:

Option A. Because this is a false

statement, the equation has no solution.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 con
dezoksy [38]

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180

6 0
3 years ago
Find the surface area of the prism. Round the final decimal answer to the nearest tenth if necessary.
Harlamova29_29 [7]

Answer:10.6

Step-by-step explanation:

4 0
2 years ago
Pheobe had 6 keys. She paid with a $10.00 bill and received $3.28 change. How much did it cost to have EACH key made
Sholpan [36]

Answer:

$1.12

Step-by-step explanation:

One way to solve this problem is through an algebraic equation. Set up the equation like this, 10-3.28=6x. This equation works because 3.28 is subtracted from 10, which represents how much was spent in total. Then, this is equal to 6x, which represents the total cost of six keys.

So, to solve first subtract 3.28 from 10, this gives you 6.72. Then, divide both sides by 6. This equals 1.12, which is the cost of each key.

6 0
2 years ago
Read 2 more answers
If g(x) = 6x - 36, which statement is true?
Ivenika [448]

Answer:

A.The y-intercept of g(x) is less than the y-intercept of (x).

B.The x-intercept of g(x) is less than the x-intercept of f(x).

C. The y-intercept of g(x) is greater than the y-intercept of f(x).

D. The x-intercept of g(x) is greater than the x-intercept of Ax).​

(A) I think

Step-by-step explanation:

8 0
2 years ago
Find the total surface area of the net below.
Solnce55 [7]

Total surface area of the triangular prism is  81.6 square m.

Step-by-step explanation:

  • b = 3 m
  • h = 2.6 m
  • p = 3+ 2.6 +2.6=  8.2
  • H = 9 m
  • SA = bh + pH

    = 3 × 2.6 + 8.2 ×9

    = 7.8 + 73.8

    = 81.6

  • Therefore,
  • SA = 81.6 square m
  • Total surface area of the triangular prism is  81.6 square m.
8 0
3 years ago
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