Height of the stack = 3 fourth of an inch
= 
× (1 inch)
Height of 180 cards = × (1 inch)
Thickness of 1 card = × 
× (1 inch)
= 
× (1 inch)
Answer:
x = 10
The second number is 50
Step-by-step explanation:
Givens
The first number = x
The second number = 5x
Together when added the answer is 60
Equation
x + 5x = 60 Combine like terms
Solution
6x = 60 Divide by 6
6x/6 = 60/6
x = 10
Answer:
a. 1
b. 5
Step-by-step explanation:
<h3>a.</h3>
Ordered pairs are (x, f(x)). You want f(2), so you look for an ordered pair that lists 2 as the first number. That one is (2, 1). This means f(2) = 1.
__
<h3>b.</h3>
f(2) is plotted as the point (2, f(2)). That is, the x-coordinate of the point will be 2. The point that has x-coordinate 2 is (2, 5).
As above, this means f(2) = 5.
Answer: at 50 mph, she drove for 4 hours.
at 45 mph, she drove for 2 hours.
Step-by-step explanation:
Let t represent the time that she spent driving at 50 miles per hour.
Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.
Distance = speed × time
Distance covered while driving 50 miles per hour is
50t
Distance covered while driving 45 miles per hour is
45(6 - t)
Since the total distance that she drove is 290 miles, it means that
50t + 45(6 - t) = 290
50t + 270 - 45t = 290
50t - 45t = 290 - 270
5t = 20
t = 20/5 = 4
At 45 miles per hour, she drove at
6 - 4 = 2 hours
