Answer:
C.
Step-by-step explanation:
Your fractions are missing there fraction bars:
3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)
15y − 6 + 5 = 1/2 y + 5y + 2
15y − 1 = 11/2 y + 2
A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable
B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1
C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.
15y-1=11/2y+2
Subtracing 11/2y on both sides
9.5y-1=2
That looks pretty good because then you would add 1 on both sides giving:
9.5y =3
Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.
D. You could actually do this but it doesn't help you get x by itself. The equation would look like this: 15/2 y-1/2=11/4 y+1
Answer:
y = -3/2x + 3
Step-by-step explanation:
To figure out the equation, it is very simple:
First you must find the y-int
The y-int is the point where the line touches the y-axis
The only point that touches the y-axis is (0,3)
so the y-int is 3
Next we need to find the slope, which is rise over run
we must find how far one point is from another point
so we start from the point (0,3) on the y-axis, then we go down 3 and to the right 2 and we are on the point (2,0)
so the slope is -3/2, because the line is going downwards, not upwards
now we just put the equation together, in the slope intercept form
y-int = b = 3
slope = m = -3/2
y = mx + b
y = -3/2x + 3
Answer:
The middle one because there is only 1 value of y for every value of x.
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
R = 12/2 = 6 π = 3.14
Circumference of a circle: C = 2πr
2*3.14*6
6.28*6 = 37.68 or 37.69
The last options seems reasonable
Hope that helps!
