Question

please help

Answer 1

question 3
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:

Car A
y = 45x + 20

Car B
y = 35x + 60

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles

Answer 2

@BloomLocke367

Answer 3

this is the last one

Answer 4

once again thank you for all the help!

Answer 5

we can do the same as last time or substitution, whichever you'd like

Answer 6

lets try the gragh

Answer 7

what was theat site you used for that

Answer 8

okay.

Answer 9

https://www.desmos.com/calculator

Answer 10

wow i have no idea how to use that site :)

Answer 11

haha, it's okay. I think it'll be better to use substitution

Answer 12

okay

Answer 13

this one is weird because it has weird answers

Answer 14

set the 2 equations equal to each other to get \(45x+20=35x+60\)

Answer 15

okay

Answer 16

i understand

Answer 17

wait i dont understand

Answer 18

what don't you understand?

Answer 19

didnt you already set them up

Answer 20

what do you mean?

Answer 21

you are telling me to set them up to be equal and didnt you already do that

Answer 22

I guess, I don't know XD I did it to show you what i meant XD

Answer 23

haha LOL

Answer 24

so is that what i needed to do

Answer 25

yes

Answer 26

then solve for x, do you know how to do that?

Answer 27

do you add them?

Answer 28

what's them?

Answer 29

45x and 35x

Answer 30

right?

Answer 31

no, you'd subtract... to get x on one side

Answer 32

10x+ 40

Answer 33

10x

Answer 34

you'd have \(10x+20=60\) then you subtract 20 from both sides to get \(10x=40\)

Answer 35

now you divide both sides by 10

Answer 36

10 cancels out and 40/10 = 4

Answer 37

yes, so x=4

Answer 38

and x represents hours so you can already rule out 2 answers

Answer 39

yup c and d

Answer 40

now, pick an equation and plug 4 in for x

Answer 41

y = 45(4) + 20
200

Answer 42

so the answer is
4 hours, 200 miles

Answer 43

yep!

Answer 44

yyyyyeeeeeeeesssssss!!!!!

Answer 45

THANK YOU SO MUCH FOR ALLA THE HELP

Answer 46

YOU'RE WELCOME! do you understand now?

Answer 47

YES

Answer 48

you are the best

Answer 49

thank you c: I try XD

Answer 50

also not to be rude or anything but you did a great job of explaining but all ya had to do was fit every choice that was there into y and x and then you would have seen that c was the answer but good job of doing it thoroughly. :)