Answer:
100 minutes
Step-by-step explanation:
To solve this, we can make a proportion.
The bike travels 5 miles in 20 minutes, and 25 miles in x minutes
5/20=25/x
Cross multiply
5*x=20*25
5x=500
Divide both sides by 5. This will cancel out the 5, and leave x by itself.
5x/5=500/5
x=100
There are 60 minutes in 1 hour. If we subtract 60 from 100,
100-60=40
So, this is also equivalent to 1 hour and 40 minutes.
It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.
Step-by-step explanation:
Answer:
- Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
- Steps: add 4 to both sides; collect terms; divide both sides by 3.
Step-by-step explanation:
The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.
Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...
- add 4 to both sides of the equation
- collect terms
- divide by the coefficient of the variable (3)
Executing that plan, the steps are ...
-2x -4 +5x +4 = 8 +4 . . . . add 4
3x = 12 . . . . . . . . . . . . . . . collect terms
x = 4 . . . . . . . . . divide by 3
F(x) = x+4
f(4) = 8, f(5) = 9
Change = 1
f(x) = 3x-7
f(-3) = -16, f(5) = 8
Change = 24/8 = 3
f(x) = 9x+1
f(-5) = -44, f(-2) = -17
Change = 27/3 = 9
f(x) = 2x+9
f(1) = 11, f(2) = 13
Change = 2
In order: f(x) = 9x+1, f(x) = 3x-7, f(x) = 2x+9, f(x) = x+4
Answer:
B. 15 ft^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B represents the area of the base, and h represents the height.
The base is apparently a rectangle, so its area is the product of its length and width:
B = L·W = (4.5 ft)(4 ft) = 18 ft^2
Then the volume is ...
V = (1/3)(18 ft^2)(2.5 ft) = 15 ft^3
15 cubic feet of sand will be needed to fill the base.
