Answer:
58.5
Step-by-step explanation:
Distance = rate * time
so if it's 4.5 hours:
Distance = 13 mph* 4.5 hours
= 58.5 miles
Answer:
Y2-y1/x2-x1
Step-by-step explanation:
The rate of change is the same thing as slope. So you would do the same thing as you would for slope.
Ex. you have two coordinate points. (4,4) (5,9)
y2 would be 9
y1 would be 4
x2 would be 5
x1 would be 4
so you would do 9-4=5
then 5-4=1
So your rate of change/slope would be 5/1 or 5
Answer: Todd earned $40 mowing the neighbor's lawn.
Step-by-step explanation:
Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.
He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4
Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is
x/4 + 6
The amount left would be
x - (x/4 + 6) = x - x/4 - 6
When he went home, he had $24.00 left. It means that
x - x/4 - 6 = 24
x - x/4 = 24 + 6
x - x/4 = 30
Cross multiplying by 4, it becomes
4x - x = 120
3x = 120
x = 120/3
x = $40
Answer:
Step-by-step explanation:
Let the distance be 
and the time be 
.
It was given that the distance, , varies directly as the square of the time , we write the proportional relation,
.
, where 
is the constant of variation.
It was also given that, 
, when 
.
Now the equation of variation becomes;
When, 
, 
The object will travel 301865 feet in 55 seconds.
To solve this problem you must follow the proccedure shown below:
1. You have that <span>the pasture must contain 128 square meters and no fencing is required along the river. Then:
A=LxW
A is the area
L is the lenght
W is the width
2. Let's clear W:
W=A/L
W=128/L
3. The formula of the perimeter is:
P=2L+W
P=2L+(128/L)
4. Now, you must derivate:
dP/dL=0
2+(128/L</span>²)=0
<span> L=8 meters
W=A/L
W=128/8
W=16 meters
</span>
