All categories

3 years ago

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!

You might be interested in

Please helpppp meee outttt

Elan Coil [88]

Answer:

Measure of <z would 125 degrees

Step-by-step explanation:

3 0

2 years ago

Someone check my answers please

Anna007 [38]

Answer:

its right

Step-by-step explanation:

4 0

2 years ago

Where will her cut be located? Round to the nearest tenth. Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. S

Maksim231197 [3]

Answer:

25.2 in

Step-by-step explanation:

The short piece will have a length that is 2/(2+3) = 2/5 of the entire usable length. The usable length is 60-2 = 58 inches long, so the cut will be ...

(2/5)(58 in) = 23 1/5 in

from the beginning of the usable part. Since the usable part of the ribbon starts 2 inches in, the cut will be 23 1/5 + 2 = 25 1/5 inches from the frayed end of the ribbon.

3 0

3 years ago

Read 2 more answers

if ms purple gets 81 apples, and a rat eat 51 of them, how many are left? (the rat must have been hungry)

HACTEHA [7]

Answer:

There are 30 apples left!

Step-by-step explanation:

81-

-----

7 0

2 years ago

4 ( 2x-2 ) +2 = 4 ( x- 2 )

IRINA_888 [86]

Answer:

$x=-\frac{1}{2}$

Step-by-step explanation:

$4(2x-2)+2=4(x-2)$

First, let's go over the <em>distributive property </em>in math. When you have any expression within a parenthesis being multiplied by any expression outside a parenthesis, you are distributing the values outside onto the values inside, like so:
$a(b+c)$ ⇒ $ab+ac$
Hopefully this helps you break down how distribution works, but if you're still having trouble comprehending it, looking at examples will help. Now, back to the problem. Let's try this idea of distribution on the left side of the equation.

$4(2x-2)+2=4(x-2)\\((4)2x-(4)2)+2=4(x-2)\\(8x-8)+2=4(x-2)$

Hopefully you could follow this math, but if not, there are plenty of materials online and in books on this. Be sure to look at those if you still have trouble.
Now that we have done all the multiplication we can on the left side and only addition and subtraction remain, we can get rid of the parentheses.

$(8x-8)+2=4(x-2)\\8x-8+2=4(x-2)\\8x-6=4(x-2)$

Now let's do distribution for the other side as well. Doing this will help us easily isolate $x$ on one side after.

$8x-6=4(x-2)\\8x-6=((4)x-(4)2)\\8x-6=4x-8$

Now, using addition and subtraction, let's move all our $x$ values to one side of our equation and all other values to the other. It doesn't matter which side you choose.

$8x-6=4x-8\\4x=-2\\\frac{4x}{4}=\frac{-2}{4}$

In case you're confused by the last step there, what I did was divide both sides by the coefficient in front of our $x$ values. This will cancel the coefficient out and leave us with our solution.

$\frac{4x}{4}=\frac{-2}{4}\\x=\frac{-1}{2}=-\frac{1}{2}$

The fraction $\frac{-2}{4}$ is technically correct, but it isn't simplified. $\frac{-2}{4}$ can be simplified to $-\frac{1}{2}$ , so $-\frac{1}{2}$ is our final answer.

$x=-\frac{1}{2}$

5 0

2 years ago