Answer:
27.5 inches
Step-by-step explanation:
(68.1+11.2+x)/3=35.6
68.1+11.2+x=106.8
79.3+x=106.8
x=27.5
We can have more info about those fractions if we take them to share the same denominator, for that we use the minimum common multiple of 8 and 12 which is 96, so we multiply and divide each fraction for a certain number that gets the fraction to denominator 96:
9/8 = (12/12)(9/8) = 12*9/12*8 = 108/96
11/12 = (8/8)(11/12) = 8*11/8*12 = 88/96
So we can write the equivalence:
<span>9/8 > 11/12
</span>108/96 > <span>88/96
</span>we can see that the inequality is true, there are a lot of fractions yet to have them closest, 108 to 88
You can certainly start out that way, but when you solve that equation for x, it's a little more complex than if you started with the other equation. I usually start with the most simple equation first. Let's take the first equation and solve for y... that will leave us without any fractions to deal with.
2x + y = -14
y = -14 - 2x
Now we have a y value and we can substitute it back into the other equation. So we will replace y in the second equation with (-14 - 2x).
That will leave us with just the x as a variable and we can solve for x.
7x - 4y = -19
7x - 4(-14 - 2x) = -19 multiply the -4 through the parentheses
7x + 56 + 8x = -19 combine like terms
15x + 56 = -19 subtract 56 from each side
15x = -75 divide each side by 15
x = -5
Now we have a value for x that we can substitute back into either of the original equations and then solve for y. I usually go with the easier equation, but it doesn't matter. Let's use the first one...
2x + y = -14
2(-5) + y = -14 multiply the 2 through the parentheses
-10 + y = -14 add 10 to each side
y = -4
So your ordered pair is
(-5, -4)
That is where the 2 lines are equal to one another, so that's the point where they they intersect.
Note*** You can start these problems with either equation and solving for either x or y... it doesn't matter. After you substitute the values into the other equation it will work out the same.
Answer:
m=11÷600
Step-by-step explanation:
150m-100m+47.750=50.5000-200m
collect the like terms
-50m+47.75=50.5-200m
move variable to the left side and change its sign
-50m+200m+47.75=50.5
Move constant to the right side and change its sign
50m+200m=50.5-47.75
collect the like terms(again)
150m=50.5-47.75
subtract the numbers
150m=2.75
divied both sides of the equation by 150
m=11÷600
solution
m=11÷600
alternative form
m=0.0183
Answer:
Increase the slope
Step-by-step explanation:
The slope of this line is '3' ......a steeper line has a higher number than '3' in front of the 'x' like y = <u>4</u>x+3 or y = <u>7</u>x + 12