Answer:
Car A's speed is 75 miles per hour
Step-by-step explanation:
As the distance-time graph represents the straight line. Thus, the slope of any line would remain constant along the line.
We also know that in a distance-time graph, the slope of the line would be equal to the speed of the object.
Taking two points from the graph
Determining the slope
Slope = [y₂-y₁] / [x₂-x₁]
= [100 - 25] / [1 - 0]
= 75 / 1
= 75 miles per hour
Therefore, Car A's speed is 75 miles per hour
The answer is Area of ABC is greater than area of DEF.
Good luck!
Answer:
28 5 dollar bills
12 10 dollar bills
Step-by-step explanation:
You can write two equations to model this situation'
x will be the number of 5 dollar bills
y will be the number of 10 dollar bills
x+y=40
5x+10y=260
There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)
So we have x+y=40
If I subtract y from both sides and divide by -1 we get
-x+40=y
We can then plug this value in for y in the second equation
5x+10(-x+40)=260
Distribute the 10 and combine like terms to get
-5x+400=260
subtract 400 from both sides and divide by -5 to get
x=28
This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y
28+y=40
Subtract 28 from both sides
y=12
This means that there were a total of 28 5 dollar bills and 12 10s
I doubled checked this in desmos and it checks out
Answer:
33
Step-by-step explanation:
To find the number of students, we must find out how many parts of a ratio are there.
7+4 = 11 parts
Then after finding the total parts, we know that the number of students must be a multiple of the total number of parts.
11 x 3 = 33
So, the total number of students is 33.
4 x 3 = 12 Boys
7 x 3 = 21 Girls.
Thank you.