Answer:
What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 5 minutes?
Step-by-step explanation:
If we know:
And there are 60 minutes in an hour:
We can do:
From here, we figure out the distance from minutes:
Answer:
System of Linear Equations entered :
[1] 4x - 3y = 15
[2] 2x + 2y = 4
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 2y = -2x + 4
[2] y = -x + 2
// Plug this in for variable y in equation [1]
[1] 4x - 3•(-x +2) = 15
[1] 7x = 21
// Solve equation [1] for the variable x
[1] 7x = 21
[1] x = 3
// By now we know this much :
x = 3
y = -x+2
// Use the x value to solve for y
y = -(3)+2 = -1
Solution :
{x,y} = {3,-1}
Answer:
42 feet of string
Step-by-step explanation:
First, draw a diagram of the string, the height and the angle.
the length of the string is equal to the hypotenuse of the triangle
let length of the string=x
sin(θ)=opp/hyp
sin(72°)=40ft/x
x=40ft/sin(72°)
x=42.05848897ft≈42ft
9514 1404 393
Answer:
B. 45π cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3πr^2h
where r is the radius (half the diameter) and h is the height. With the given numbers, we have ...
V = (1/3)π(3 cm)^2(15 cm)
V = 45π cm^3 . . . volume of each cup
To figure out this problem you simply just multiply the two together.
64x^3 + 80x^2 + 100x - 80x^2 - 100x - 125
64x^3 - 125
