Answer:
12
Step-by-step explanation:
its a square all sides of the square are the same so 48 divided by 4 is 12
5 points is not a lot of points
Answer:
Stephen has 9 trees
Alice has 21 trees
Step-by-step explanation:
<u>At the beginning:</u>
Stephen = x trees
Alice = x + 12 trees
<u>At the end:</u>
Alice = (x + 12) - 4 trees
Stephen = x + 10 trees
Total = 36
Then
Stephen - 9 trees
Alice - 9 + 12 = 21 trees
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:
Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t
Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0
Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles
So after 70 min's of driving, Dale will be 36.5 miles from his destination.
top left: speed = 2.7 miles per hour = 2.7 MPH
top right: speed = 0 miles per hour = 0 MPH
bottom left: speed = 4 miles per hour = 4 mi/h
bottom right: speed = 2 miles per hour = 2 mi/h
and so, the fastest is bottom left. And pay attention in class! i'm in highschool and Iearned this in 6th grade!
Step-by-step explanation:
key: speed= distance/time
distance= speedxtime
time=distance/speed
top left: 8/3= 2.66667 MPH= 2.7 MPH
top right: 0/8= 0 MPH= 0 MPH
bottom left: 8/2= 4 MPH= 4 MPH
bottom right: 8/4= 2 MPH= 2 MPH
Answer:
12 16 20. law of proportions
