Question

Help

Answer 1

Here

Answer 2

@jim_thompson5910

Answer 3

which problem number?

Answer 4

26

Answer 5

Ok let's start by labeling the two buses. Let's call them bus A and bus B

Bus A will travel 55 mph
Bus B will go 45 mph going the opposite direction

so far so good?

Answer 6

yes

Answer 7

55A + 45B= 400?

Answer 8

Close

Answer 9

Are you familiar with the idea that

distance = rate*time

?

Answer 10

no

Answer 11

"rate" is another term for "speed"

Answer 12

if you want to know how far you can travel, then multiply the speed by the time

eg:
if you go 10 mph and travel for 5 hours, then you have gone 50 miles

distance = rate*time
d = r*t
d = 10*5
d = 50

make sense?

Answer 13

yes

Answer 14

so we don't know the time value. Let's just leave it as t

Answer 15

for bus A, the speed is 55 mph. We don't know the distance d

d = r*t
d = 55*t

is the equation for bus A. Agreed?

Answer 16

yes

Answer 17

55x4=220

Answer 18

how are you getting `55x4=220` ?

Answer 19

we are trying to find ou how far they are apart. so 55x4 equal 220 and 45 x 4 equal 180. 180 + 220= 400

Answer 20

so you did a guess and check?

Answer 21

yes

Answer 22

ok I'll show you how to do it without guessing

Answer 23

do you agree so far that the equation for bus A is d = 55t ?

Answer 24

yes

Answer 25

the equation for bus B would be d = 45t

Answer 26

The two buses have their distances add to 55t+45t = 100t

Answer 27

we know the total distance is 400, so 100t = 400 which leads to t = 4

Answer 28

oh i see where u r coming from

Answer 29

can u help me with 27 and 28 too?

Answer 30

how far did you get with 27

Answer 31

zero

Answer 32

x is the speed of the slower plane
2x is the speed of the faster plane

agreed?

Answer 33

yes

Answer 34

for the slower plane, the speed is x and the time is 3 hours
d = r*t
d = x*3
d = 3x


for the faster plane, the speed is 3x and the time is also 3 hours
d = r*t
d = 3x*3
d = 9x

Answer 35

add the two distances
(distance1)+(distance2) = (3x)+(9x) = 3x+9x = 12x

Answer 36

that total distance 12x is the same as 2700

so,
12x = 2700

Answer 37

225

Answer 38

x = 225 is the speed of the slower plane. What's the speed of the faster plane?

Answer 39

450

Answer 40

yes

Answer 41

28?

Answer 42

show me what you have so far for #28

Answer 43

3x-6=24

Answer 44

x=6

Answer 45

so it would be 18 right?

Answer 46

if x is the width, then what is the length?

Answer 47

"the length of the rectangle is 3 cm greater than the width"

Answer 48

oh 3 i thought it said 3 times

Answer 49

i dont know

Answer 50

width = x
length = x+3

agreed?

Answer 51

yes

Answer 52

perimeter = 2*L + 2*W
24 = 2*(x+3) + 2*x

solve for x

Answer 53

5.33

Answer 54

no

Answer 55

24 = 2*(x+3) + 2*x
24 = 2x+6+2x
24 = 4x+6
4x+6 = 24
...
...
...
x = ??

Answer 56

4.5

Answer 57

correct

Answer 58

width = 4.5
length = ???

Answer 59

7.5

Answer 60

yes

Answer 61

oh okay thank you so much for the help

Answer 62

you're welcome