Write the given phrase as an algebraic expression. Use the variable x to represent the unknown number.

1 answer:

5 0

Hello! I would love to help!

Let's start with this part of the equation: "the sum of a number and seven"

Alright. We know that x represents an unknown number. Do you see a part of the equation that could translate to "an unknown number?"

I see "a number." So let's fill X in for "a number.

Alright. So now we have "the sum of x and 7."

Next, let's remember that sum means adding. So we just need to 7 to x

X+7

So, now instead of "the sum of a number and 7" we have x+7.

Alright. Now we just have to do the "twice." When it is asking for "twice", it is asking us to multiply our answer by two. But we need to multiply both x and 7. The best way to do that is to put our "x+7" in parenthesis and put a two outside.

2(x+7)

That's your answer! 2(x+7)

Hope this helped! Comment if you have any questions!

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Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

djyliett [7]

Answer:

$-3x-6 < -33$ and $-3x-6 \geq -6$

Step-by-step explanation:

we have

$-33 > -3x-6 \geq -6$

we know that

Compound inequality can be divided into two inequalities

$-33 > -3x-6$

rewrite

$-3x-6 < -33$

and

$-3x-6 \geq -6$

therefore

An equivalent form of the compound inequality is

$-3x-6 < -33$ and $-3x-6 \geq -6$

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Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid

Aloiza [94]

Answer:

110

Step-by-step explanation:

longest side would by 40 so 40 - 20 = 20. Add all the sides up 25+25+40+20=110

3 0

3 years ago

It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho

Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Leon do the work in 17 hours that means the rate of his work is $\frac{1}{17} work/hr$ , so he do $\frac{2}{17}$ of the work in two hours, therefore Michael do the other $\frac{15}{17}$ of the work, thus Michael rate will be $\frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour$ .

So it takes Michael $1h+\frac{4}{17}h$ to complete the work, or $\frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs$