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3 years ago

What is the solution to 2x+6=20

2 answers:

8 0

The solution to 2x+6=20

2x+6=20
-6 -6
Cross out the 2 six's and then take the 20 subtract it to 6 which would be 14 then take 14 divide by 2 and the answer is x=7

True [87]3 years ago

3 0

2x+6=20

2x=20-6

2x=14

x=14/2

x=7

You might be interested in

What is the arithmetic sequence of a1=228 n=28 sn=2982

Art [367]

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

3 0

3 years ago

The area of a rectangle is 15x^2y^5. if the length is 5xy^3, what is the width?

Molodets [167]

I hope this helps you

8 0

4 years ago

If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side

Hitman42 [59]

MrBillDoesMath!

Answer: 51,53,55,57

Discussion. By the triangle inequality the sum of the lengths of any two sides is greater than or equal to the third side. In our case, 3 + 54 = 57, so the third side must be less than or equal to 57.

MrB

4 0

3 years ago

I need help!! please

Elan Coil [88]

<h3>Answer: 40</h3>

========================================================

Explanation:

The old dimensions of the rectangle were 30 by 15.

The new dimensions are 30+x by 15+x, where x is some positive number.

The new rectangle dimensions multiply to 1000

(30+x)(15+x) = 1000

Use the FOIL rule to expand out the left side like so

(30+x)(15+x) = 1000

450+30x+15x+x^2 = 1000

450+45x+x^2 = 1000

x^2+45x+450

Then lets get everything to one side

x^2+45x+450 = 1000

x^2+45x+450-1000 = 0

x^2+45x-550 = 0

---------------------

From here we use the quadratic formula

Plug in a = 1, b = 45, and c = -550.

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\$

$x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\$

Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.

The only practical answer is x = 10.

So each dimension is increased by 10 feet.

--------------------------

If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25

Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.

--------------------------

Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet

3 0

4 years ago

The expression square root 3x is equivalent to the expression x square root 3<br><br> True<br> False

eimsori [14]

Answer:

Second option: False

Step-by-step explanation:

We need to remember this property:

$\sqrt[n]{x^n}=x^{\frac{n}{n}}=x$

In this case we have the following expressions provided in the exercise:

$\sqrt{3x}$ and $x\sqrt{3}$

Based on the property mentioned before the expression $\sqrt{3x}$ cannot be simplified. So 3 and $x$ stays inside the square root.

Therefore, the conclusion is: The expression $\sqrt{3x}$ is not equivalent to the expression $x\sqrt{3}$

8 0

3 years ago