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zlopas [31]
3 years ago
8

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution? A

dd 4 to both sides, and then divide by 2. The solution is x = 12. Divide both sides by −4, and then subtract 2. The solution is x = −7. Subtract 4 from both sides, and then divide by 2. The solution is x = −12. Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>

Step-by-step explanation:

1. For solving the question and understand which of the statements matches with the solution, let's proceed with the equation:

2x − 4 = 20

2x  - 4 + 4 = 20 + 4 (Adding 4 at both sides)

2x = 24

2x/2 = 24/2 (Dividing by 2 at both sides)

x = 12

<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>

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Vitek1552 [10]

Answer:

Writing the inequality, we have;

420.56+32.43x\leq680

the solution to the inequality is;

x\leq8

Explanation:

Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.

Total spending must not exceed $680

\text{total spending }\leq680

She buys a new bicycle for $383.33.

• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.

She plans to spend some or all of the money she has left to buy new biking outfits

for $32.43 each.

let x represent the number of biking outfits she can buy.

Total spending is;

\begin{gathered} 383.33+2(7.61)+22.01+32.43(x) \\ 420.56+32.43x \end{gathered}

Writing the inequality, we have;

420.56+32.43x\leq680

we can now solve the inequality;

\begin{gathered} 420.56+32.43x\leq680 \\ \text{subtract 420.56 from both sides;} \\ 420.56-420.56+32.43x\leq680-420.56 \\ 32.43x\leq259.44 \\ \text{divide both sides by 32.43} \\ \frac{32.43x}{32.43}\leq\frac{259.44}{32.43} \\ x\leq8 \end{gathered}

Therefore, the solution to the inequality is;

x\leq8

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Please explain step by step on how you got the answer.
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