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2 years ago

Quick algebra 1 question for 10 points!

Mathematics

2 answers:

andreyandreev [35.5K]2 years ago

3 0

Answer:

$\textsf{D. }x\leq-2$

Step-by-step explanation:

<u>Given inequality:</u> $3(x+2)\leq5(-2-x)$

Step 1: Distribute $3$ and $5$ through the parentheses.

$\implies 3(x)+3(2)\leq5(-2)+5(-x)$

$\implies 3x+6\leq-10-5x$

Step 2: Subtract $6$ from both sides.

$\implies 3x+6-6\leq-10-6-5x$

$\implies 3x\leq-16-5x$

Step 3: Add $5x$ to both sides.

$\implies 3x+5x\leq-16-5x+5x$

$\implies 8x\leq-16$

Step 4: Divide both sides by $8$ .

$\implies \dfrac{8x}{8}\leq\dfrac{-16}{8}$

$\implies x\leq-2$

nadezda [96]2 years ago

3 0

Answer:

x ≤ -2

Step-by-step explanation:

3(x + 2) ≤ 5(-2 - x)

Distribute on both sides.

3x + 6 ≤ -10 - 5x

Add 5x to both sides.

8x + 6 ≤ -10

Subtract 6 from both sides.

8x ≤ -16

Divide both sides by 8.

x ≤ -2

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Answer:

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Solution: $t=6$

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

$8.5t$

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Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

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Finally, you can solve for "t" in order to find the solution of the equation. This is:

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3 years ago

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julia-pushkina [17]

Answer:

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Step-by-step explanation:

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3 0

3 years ago