The answer is x=3.6 or 3 3/5.
First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:
1 5/6 - (x - 7/12) + 2 1/12 = 9/10
Now we find a common denominator. The first thing that 6, 12 and 10 will all divide into is 60:
1 50/60 - (x - 35/60) + 2 5/60 = 54/60
Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60
Combining like terms, we have:
-x + 4 30/60 = 54/60
Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60
Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..
Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So
Problem:
Dirextly to X (× by X)
Inversely to Y, (÷ by Y)
Z= k X/Y
Solve, working backwards: Z =5 becomes
5 = k (X) ÷ (Y). And
X=15 and Y =9 becomes
5= k(15)/(9). Undo ÷9, ×9 both sides
45= k(15). Now undo ×15 by ÷15 both sides
45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...
Z = 3X/Y
Use the new #s.... X=23, Y=14
Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Answer:
3960 Degrees
Step-by-step explanation:
There is a formula for this!
In this n=24 since there are 24 sides.
The formula is 180(n-2).
Hope this helped and please mark me as Brainliest if possible.
