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3 years ago

What is X in this equation? 3x+55=9x-5Please Explain.

Mathematics

2 answers:

Inessa [10]3 years ago

5 0

Answer:

x=10

Step-by-step explanation:

$\mathrm{Subtract\:}55\mathrm{\:from\:both\:sides}\\3x+55-55=9x-5-55$

$\mathrm{Simplify}\\3x=9x-60$

$\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\3x-9x=9x-60-9x$

$\mathrm{Simplify\:}again\\-6x=-60$

$\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{-60}{-6}$

$\mathrm{\:Simplify\:one\:more\:time}\\x=10$

I hope this helps you out!

Have a wonderful afternoon!

klasskru [66]3 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

3x + 55 = 9x - 5 (add 5 to both sides)

3x + 55 + 5 = 9x - 5 + 5

3x + 60 = 9x (subtract 3x from both sides)

60 = 9x - 3x

60 = 6x (rearrange)

6x = 60 (divide both sides by 6)

x = 60/6

x = 10

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3 1/3 + (-2 1/4) + 1 5/6=

trasher [3.6K]

Answer:

$2\dfrac{11}{12}$

Step-by-step explanation:

The first step is to ensure that all of the fractions have a common denominator.

$3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}$

Hope this helps!

6 0

3 years ago

A rectangular box with a square base is open at the top and has a volume of 12 cubic feet. Each side of the base has a length of

Stolb23 [73]

We know that the side lengths of the square base are: x * x. The volume is 12, so for now, let's say that y is the other side length. Then, x * x * y = 12. We can solve for y: y = 12/x^2. Now, we find the surface area of the 5 sides.

Four of the sides have the same area: x * (12/x^2) = 12/x, so we multiply this by 4: 48/x.

The last side is the base: x * x = x^2.

We add 48/x to x^2:

x^2 + 48/x

So, the answer is the fourth choice, (d).

4 0

3 years ago

HEEEEEEEEEEEEEEEEEEEEELPPPPPPPPPPPP IM TRYING TO MAKE A BRAINLY ACCOUNT AND IT SAYS I CANT DO IT RIGHT NOW HEEEEEEEEEEEEEEEEEEEE

NikAS [45]

Answer:

You already made an acc-

Step-by-step explanation:

Wdym?

4 0

3 years ago

Find 50% of 36: Find 25% of 36: Find 75% of 36:

HACTEHA [7]

Answer:

18, 9, 27

Step-by-step explanation:

36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.

36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.

Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.

5 0

3 years ago

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$