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3 years ago

The sum of a number and 7 is the same as double the number increased by 3

2 answers:

8 0

The statement above is the same as the mathematical expression below...

x + 7 = 2x + 3

We want to solve for x in these types of problems. To do so, we must get all of the "x"s on one side of the equal sign and the constants on the other.

7 - 3 = 2x - x
4 = x

Our answer is x = 4.

koban [17]3 years ago

4 0

So, let’s represent the number as n:
n+7=2n+3
Subtract both sides by 3:
n+4=2n
Now by n:
2n=4
Divide:
n=2
The number is 2

You might be interested in

Which expressions is not equivalent 2x^2+10x+12?

sergeinik [125]

Answer:

Step-by-step explanation:

First, factor the original expression:

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

This is equivalent to what we factored. Eliminate A.

This is again equivalent to what we factored. Eliminate B.

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

7 0

2 years ago

Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operat

dem82 [27]

(trying to isolate/get x by itself in the equation)

5(x + 6) = 50 Distributive property [distribute 5 into (x + 6)]

5x + 30 = 50 Subtraction [subtract 30 on both sides of the equation]

5x = 20 Division [divide 5 on both sides]

x = 4

Subtraction then division, the 2nd option

7 0

2 years ago

Read 2 more answers

How many square meters are there in a floor that is 9 meters long by 14 meters wide?

antoniya [11.8K]

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter

7 0

2 years ago

Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown.

blagie [28]

The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.

<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.

We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4

In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>

6 0

3 years ago

Read 2 more answers

How do you solve 9| x+8 | + 10 < 55 & how is it graphed

mafiozo [28]

Hello!

First, let's write the problem.
$9\left|x+8\right|+10\ \textless \ 55|x+8|+10\ \textless \ 55$
Subtract 10 from both sides.
$9\left|x+8\right|+10-10\ \textless \ 55-10$
$9\left|x+8\right|\ \textless \ 45$
Divide both sides by 9.
$\frac{9\left|x+8\right|}{9}\ \textless \ \frac{45}{9}$
$\left|x+8\right|\ \textless \ 5$
When we got absolute value, we are going to get two results.
$x+8\ \textless \ 5$
and
$x+8\ \textgreater \ -5$

Let's solve the first one,
$x+8\ \textless \ 5x+8\ \textless \ 5$
Subtract 8 from both sides.
$x+8-8\ \textless \ 5-8$
$x\ \textless \ -3x\ \textless \ -3$

Let's solve the second one.
$x+8\ \textgreater \ -5$
Subtract 8 from both sides.
$x+8-8\ \textgreater \ -5-8$
$x\ \textgreater \ -13x\ \textgreater \ -13$

Let's combine the ranges.
$-13\ \textless \ x\ \textless \ -3$

The attachment shows how would you graph it.
You can feel free to let me know if you have any questions regarding this.
Thanks!

- TetraFish

3 0

3 years ago