For each of these problems, all you need to do is isolate the variable. I’ll do the first few to help you out :)
32) 7 = -12 + e
Add 12 to both sides to isolate e.
19 = e
35) (r + 4) + 2 = 1
Subtract 2 from both sides.
r + 4 = -1
Subtract 4 from both sides to isolate r.
r = -5
38) -2 + (1 + p) = 5
Add 2 to both sides.
1 + p = 7
Subtract 1 from both sides to isolate p.
p = 6.
So essentially, all you need to do is add and subtract from each side to isolate the variable given in each problem. :)
Extra tip: In order to get rid of a number on one side (to isolate a variable), you must perform the opposite operation. For example, -2 + x = 1. In order to isolate x, add 2 to the left side to get rid of it, as well as adding it onto the right side so that it is not erased completely to get x=3)
Answer:1/11
Step-by-step explanation:
Let the yellow cubes be x
yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue
Ratio:
Yellow : Blue : Green
1 : 2 : 8
P(Yellow) = 1/11
This means that (x-6)(x+2) = f(x) is the equation for the parabola due to that if you plug these in, when x=6 and x=-2 then y=0. Expanding it, we get
x^2+2x-6x-12=x^2-4x-12. Since the x coordinate of the vertex is -b/2a, it's 4/2=2
Answer:
293.776 yd
Step-by-step explanation:
3A=3L×w A=10×12.2=122
A=12.2×7.04=85.888
A=12.2×7.04=85.888
3A=122+85.888+85.888=293.776
Answer:
The value of radius r is 50
Step-by-step explanation:
Given as :
The measure of two circles as
Circumference = c Circumference = c'
Diameter = d Diameter = d'
Radius = r Radius = r'
And
= 5
d' = 20
∴ circumference of circle =
=
Or,
=
Or, 5 = 
Or, 5 = 
∴ 2 × r = 5 × 20
I.e r = 50
Hence The value of radius r is 50 Answer