Write in 0 and 0 at the top: this indicates that if there are zero pennies, the height of the tower is 0. This is the point (0,0). Another point is (4, 28): a tower of 28 pennies is 4 cm tall.
Find the slope of the line connecting (0,0) and (4,28).
4cm - 0 cm
m = ----------------- = (1/7) (cm/penny)
28 - 0
The equation we need, relating # of pennies to height of tower, is
t = (1/7) (cm/penny)x, where x is the # of pennies.
Thus, if x = 1, then t=1/7 cm
And, if x =15, then t = 15/7 cm
And so on.
-2 (3+5y-10) = 34
Step 1) -6-10y+20=34
Step 2) -10y+20=40
Step 3) -10y=20
Step 4) y = -2
Answer is -2
t=45min
d=4km
45min/60min = 0.75 hours
v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.
Answer:
1/2ft
Step-by-step explanation:
15/28=(5/7)(1 1/2)(w)
15/28=(5/7)(3/2)w
15/28=(15/14)w
(15/28)/(15/14)=w
(15/28)*(14/15)=w
w=14/28
w=1/2 ft
Answer:
a) d = 3.6t
b) 10.8 miles
c) 1.2 hours
Step-by-step explanation:
For part a:
Slope of a line: y = mx + b
In this case, the equation would be: d = mt,
where m represents the speed Caden is walking at.
Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.
Therefore, plugging in a speed of 3.6 miles per hour, the equation is:
d = 3.6t
For part b:
This is a simple instance of plugging in 3 hours for our t value.
Therefore, d = 3.6 (3)
d = 10.8 miles
For part c:
In this case, we are given that d = 4.32 miles.
Therefore, 4.32 = 3.6t
Dividing both sides by 3.6, we get
t = 1.2 hours
