80$ because 50 divided by 3 is 16.67 and 80 divided by 5 is 16 so yeah $80
Answer:
4 3/5
Step-by-step explanation:
6 3/4-2 3/20=x
3/4=15/20
15/20-3/20=12/20=6/10=3/5
6-3=3+3/5=4 3/5
Answer:
391,660.6
Step-by-step explanation:
First we need to do what is in the parentheses. 56/23 equals 2.4. 4234 + 2.4 is 4236.4... 4236.4 times 94 is 398,221.6... Now 9 to the fourth power is 6561. x + 6561 is 398,221.6 so x equals 391,660.6... I hope this helps and please make me the brainliest. Thanks!
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.
Answer:
I think D
Step-by-step explanation:
