So the bus is initially going at 39km/hr but we want it in minutes, so divide by 60 to get that the bus goes .65 km/min. It does this for 20 minutes so multiply .65 by 20 and it has gone 13km in the first 20 minutes. It then goes 12km/hr, again divide by 60 to get .2km/min, it goes this fast for 10 minutes so it goes 2km in 10 minutes. At this point the bus has gone 15km, we know that his house is 30km away from the school so this tells us the bus will go 30km/hr (.5km/min) for 15km, taking it 30 minutes. It takes the bus one hour to get home.
His mom travels at a constant speed of 45km/hr (0.75km/min) the whole 30km to her home. Take the 30km and divide it by 0.75 to find that it took her 40 minutes to drive home BUT she didn't leave the school until 30min after the bus left, so her total time is 1hr10min.
She will not get home in time, she will be 10min late
A. 23°
because 85°-62°=23°
*Hope this helped! :)
The inverse of the funtion <span> f(x) = 4x
</span><span> f(x) = 4x
y = 4x
Swap out x with y
x = 4y
x / 4 = y
y = x / 4

Looks like none of the answer you have given are correct.
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Answer: I think so that's what i would put
Step-by-step explanation:
Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending

David bought 3 pencils and 4 erasers, spending

The system of equations is written in the form

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3

Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03