NinjaDevo

5x-3=(x+7)+3

5x-3=x+10

-x      -x               ---Subtract x from both sides

4x-3 = 10

    +3   +3              ---Add 3 to both sides

4x = 13

/4      /4               ---Divide both sides by 4

x = 13/4

or

x = 3.25

Let's check it:

5(3.25)-3=((3.25)+7)+3

16.25-3 = 10.25 + 3

13.25 = 13.25

Let's set up an equation for this word problem, and let's make x equal the second number.

x+(x+17)=157     ---Since the first number is 17 bigger than the second number, (x+17) will give us the first   number.

2x + 17 = 157

     -17      -17

2x = 140

x = 70

So our second number is 70, and our first number is 87 (17 bigger than our second number, so 17+70)

5x-3=(x+7) +3x

5x-3 = 4x+7

-4x     -4x          ---Subtract 4x from both sides

x-3 = 7

+3   +3             ---Add three to both sides

x = 10

Let's check it:

5(10)-3=((10)+7) +3(10)

50-3 = 17+30

47 = 47

47 does equal 47; the statement is true, so we know this works.

Well, if this line is parallel to the line 2x+3y+7=0, that means it is the same as that line, but with a different y intercept

2x+3y+7=0

/3   /3  /3                    ---Divide everything by 3

2/3x + y + 7/3 = 0

-2/3x          -7/3               ---Subtract from both sides

y = -2/3x - 7/3

This is the same line in the slope-intercept form.

y = -2/3x + 6

I just changed the y intercept to 6, which is what we need. This is the first way we could write our answer. Or we could turn it back into the standard form of a line.

y = -2/3x + 6

      +2/3x

2/3x + y = 6

or

2x + 3y = 18

Hope this helps.

(7^2)^5*7^4/7^8 

7^2*35*4/7*8

7^70*4/7*8

7³²⁰

or

2.700056e+270

(3.4x10¹²) ÷ (1.2x10^-3)

(3.4 ÷ 1.2) (10¹² ÷ 10^-3)

(2.833333)(10^12-(-3))

(2.833333)(10^12+(+3))

2.8333*10¹⁵

Round to 3 significant digits(or figures)

2.83*10¹⁵

And there you go!

Bob has 1 crayon

 Selena has 5

We can add these together to find the answer, so

1+5 = 6 crayons

In order for us to subtract these, they need to have the same denominators, then we can subtract like we usually do.

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$                       

Now I can multiply both the top and bottom of the first fraction by 4, and the top and bottom of the second fraction by 3. We know this works because 8/12 is the same thing as 2/3 and 3/12 is the same thing as 1/4 

$${\frac{{\mathtt{8}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}}{{\mathtt{12}}}}$$                   

$${\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$           

Now I just subtracted to tops from each other. This can't be reduced, so 5/12 is our answer!

If this didn't make any sense at all, let me know and I can try to explain it differently!

la derivada de 2x es 2