1. This is one confusing question... But here is what I did
x = 2y + 1
y =
+ 2x
So plug in Y to solve for X
x = 2 (
+ 2x) + 1
x = 
- 
Not sure if that's completely correct, but I'm positive I didn't make any mistakes...
5. You have to find the multiples of 60 so...
1 60
2 30
3 20
4 15
<span>5 12
<---
7 = 12 - 5</span>
The total space the water dispenser will take is equal to their volume.
Volume of one water dispenser = Length x Width x Height
So,
Volume = 4 x 8 x 14 = 448 in³
This is the volume on 1 dispenser. The volume of 3 dispensers will be = 3 x 448 = 1344 in³
This means, the 3 water dispensers will take 1344 cubic inches of space in Sid's refrigerator. So the correct answer is Fourth option
F(x) = k*x^2
You can find k using only the first point.
28 = k*2^2
7 = k
The constant of variation is 7.
Answer:
so both tables are proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
Step-by-step explanation:
/ means divided by
divide y by x
for both tables
in each table
if y divided by x
show the same number
for every row
then its proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
so both tables are proportional
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
