So basically
D=RT
distance=rate times time
D=233
carlos speed=55
maria speed=50
total time=4.4 hours
so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance
let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d
remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)
maria
d=50(t)
use them to solve
233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours
the answer is A
Answer:
7 feet
Step-by-step explanation:
Oak tree = x
14 : x as 60 : 30
Simplify the right ratio
14 : x as 2:1
Get the same first number in both ratios by multiplying 2:1 by 7
14 : x as 2(7) + 1(7)
14 : x as 14 : 7
Since the first number in each ratio is the same, we know that that x and 7 are equal
x = 7
Hope this helps, feel free to let me know if you would like a further explanation :)
I've attached the graphs to this answer. I hope they help.
Answer:
Step-by-step explanation:
Product of two consecutive integer so this mean that x and y but y = x+1 than
x(x+1)=1332
x^2 +x -1332 =0 so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie
x^2 +x -1332 = 0
(x+37)(x-36)=0
x+37=0
x=-37 so the larger integer result that will be 37
