Answer:
Option B is the correct answer.
Step-by-step explanation:
Jen decides to read 100 pages the first day and 50 pages each day thereafter.
Number of pages read by Jen per day = 50
Number of pages read by Jen on first day = 100
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days.
Number of pages read by Ariel per day = 40
Number of pages read by Ariel on first day = 40 + 80 = 120
Option A:
Jen reads 20 pages per day more than Ariel
Wrong
Option B:
Ariel reads 10 pages per day less than Jen.
Correct
Option C:
Ariel read 20 pages less the first day than Jen read.
Wrong
Option D:
The reading rate each day for Jen and Ariel is the same.
Wrong
Option B is the correct answer.
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
Answer: 29
Any number between 28.83 and 29.18 would work
Answer:
g = 15 - m/28
Step-by-step explanation:
let g = gasoline
let m = miles
since you can drive 420 miles with 15 gallons of gas, you can drive 28 miles with one gallon (= 420/15 = 28)
e.g.
you drive 100 miles, then you will have:
g = 15 - 100/28 = 15 - 3.57 = 11.43 gallons of gas left
you drive 240 miles:
g = 15 - 240/28 = 6.43 gallons
