Answer:
y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x
Answer:
The best estimate is greater than 1/2 but less than 3/4
Step-by-step explanation:
If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value. So 1/4 is equal to 3/12.
Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.
If you simplify 8/12 hours, you get 2/3 hours.
So the best estimate would be: greater than 1/2 but less than 3/4.
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
Answer:
Yes, both have the same value ( 20) when x = 5.
Step-by-step explanation:
We have two functions:
y = 15 + x
y = 4*x
We want to see if these functions have the same value when x = 5.
Then we just need to replace x by 5 in both equations, and see if the values of y are the same
first function:
y = 15 + 5 = 20
second function:
y = 4*5 = 20
So yes, both functions are equal to 20 when x = 5.
Answer:
50 students
Step-by-step explanation:
20 + 30 = 50
