Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Answer:
|-8| < |7| is FALSE
Step-by-step explanation:
The absolute value of -8 is 8, which is greater than 7, not less than.
Answer:
A. 2000²⁰⁰¹
Step-by-step explanation:
2000(2000²⁰⁰⁰) = 2000²⁰⁰⁰+1 = 2000²⁰⁰¹
Answer:
The best prediction for the number of times a 4 will be drawn from the pile is:
125
Step-by-step explanation:
It is given that:
A set of cards contains cards numbered 1 – 8.
So, the theoretical probability that 4 comes up is:
Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )
Hence, Theoretical Probability that 4 is drawn=1/8
Now, out of 1000 trials the best prediction of number of times 4 is drawn is:
(The probability of drawing 4)×(Number of experiments or trials)
=(1/8)×1000
=125
Answer:
B) The earthquake measuring 4.5 on the Richter scale is about 32 times more intense than an earthquake measuring 3.
Step-by-step explanation:
Let Ra = log(Ia/Io), and Rb = log(Ib/Io). Then for ...
Ra - Rb = 4.5 -3.0 = 1.5
log(Ia/Io) -log(Ib/Io) = 1.5 . . . . . . . . . . . substitute the given expressions
(log(Ia) -log(Io)) -(log(Ib) -log(Io)) = 1.5 . . . expand the logs
log(Ia) -log(Ib) = 1.5 . . . . simplify
log(Ia/Ib) = 1.5 . . . . . . . . write as a single log
Ia/Ib = 10^1.5 ≈ 32 . . . . take the antilog
The ratio of intensities is about 32, corresponding to choice B.