Answer:
9 hours and 20 minutes.
Step-by-step explanation:
In one hour, Amanda can proofread 17 reports.
In one hour, Sally can proofread 28 reports.
That means together, they can proofread 45 reports in one hour.
So we need to divide the total amount of reports by how much they can read in an hour:
420/45 = 28/3 = 9 1/3
The time it takes between the two of them is 9 hours and 20 minutes.
New Workshop: 4,134,232,638,937
Old Workshop: 22,912,546,992
New/Old = 180.435
The new workshop can produce approximately 180 times as many toys as the old workshop.
Felecia's husband will catch up to her 1 hour 30 minutes after leaving.
Step-by-step explanation:
Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.
Head start = 
× 45 miles an hour = 15 miles.
So Felecia got a head start of 15 miles.
Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.
Total gap initially = 15 miles.
The rate at which gap is being closed = 10 miles an hour.
Time to close the gap = 15 / 10 = 1.5 hours.
Answer:
a)12 b)12 c)36
Step-by-step explanation:
a)find least common multiple. the number of marbles is that number * n (where n is an integer)
b) the least common multiple. it is 4*3=...
c)12*3 =?
then just divide by 2,3,4 to get answer
Because they're all the same distance from the x axis on a coordinate plane. Also, remember that in quadrant I, all trig values are positive. In Q II, only sine and cosecant are positive. In Q III, only tangent and cotangent are positive. In Q IV, only cosine and secant are positive. Think of it as <u>A</u>ll <u>S</u>tudents <u>T</u>ake <u>C</u>alculus.
