two nascar cars are racing around a 2 mile track. one car can complete a lap in 48 seconds, and the other car can complete one lap in 40 seconds. if they start side by side, after how much time will they be side by side again

Answers

Answer 1
Answer:

First we need to find the speed of each car using the formula

s=(d)/(t), where s is the speed, d is the distance and t is time.

s=(2)/(48)=0.0417 miles/s

s=(2)/(40) = 0.05miles/s

Since they are moving in the same direction we subtract the speeds to obtain relative velocity, V_r

V_r = 0.05-0.0417= 0.0083 miles/s, then

t=(2)/(0.0083)= 240s.  This is the time it takes for the fastest car to complete an extra lap relative to the slower car.


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What is 1/4 of $8.000 dollars?

−6, −3, 2, 9, 18, . . . nth term

Answers

Answer:

Your answer would be

X^2-7

Step-by-step explanation:

Hope it helps .

Good luck .

The area of a rectangular field is 6688 m squared if the length of the field is 88m what is the width

Answers

Answer:

76m

Step-by-step explanation:

You divide 6688 by 88 and your answer will be 76.

Given that QRST is a kite and that ST = TQ, find ST.

Answers

Q/R = S/T as Q/T = R/S

Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has......
Anish has......
Nick has......

Answers

Scott = Anish ÷ 3 or 1/3 Anish
Anish = Nick ÷ 2 or 1/2 Nick
S + A + N = 140
1/6 N + 3/6 N + 6/6 N = 10/6 N (140)
10/6 N = (140)
140 ÷ 10 = 1/6 N (14) = Scott
9/6 N (126) - 3/6 (42 = Anish) = N = 84
S = 14
A = 42
N = 84

CHECK?

14 = 1/3 of 42
42 = 1/2 of 84
14 + 42 + 84 = 140 :)
let x = # of computer games nick has
then
Anish has    1/2x games
and
Scot has  1/2*1/3   = 1/6x  games
 thus
1/6x + 1/2x + x  =  140
1/6x + 3/6x + x  = 140
10/6x = 140
10x =140* 6
   x       =      84  >        Nick
  1/2x    =    42  >    Anish
   1/6x    =   14    >    Scot

What is the average rate of change from x=-1 to x=-2

Answers

the average rate of change from x=-1 to x=-2 is +3

From the set {1, 3, 5}, use substitution to determine which value of x makes the equation true. 20 - 2x = 10
5
1
3
none of these

Answers

{1,3,5}
ie, sub 1, 3 and 5 for x and see which one is true

20-2(1)=10
20-2=10
18=10
false

20-2(3)=10
20-6=10
14=10
false

20-2(5)=10
20-10=10
10=10

true

answer is 5