Answer:
24 minutes.
Step-by-step explanation:
This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.
First you should note that answer will be under 40 minutes.
1/40 + 1/60 = 1/TimeTotal
The common denominator on the left is 120 minutes
3/40*3 + 2/60*2 = 1/timetotal
3/120 + 2/120 = 1/ timetotal
5/120 = 1/time total Now to use to the key stop
What you do now is you always turn the left side over. You do the same thing to total time.
120/5 = total time
24 = total time
What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.
Answer:
7/8
Step-by-step explanation:
1. Make 1 9/8 into an improper fraction
1 = 8/8
8/8 + 9/8 = 17/8
2. Subtract
17/8 - 11/8 = 7/8
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
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Answer:
A) 9 photos in each row
B) 14 rows in total
Step-by-step explanation:
Photos of People = 45
Photos of Landscapes = 18
Photos of Pets = 63
Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.
By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.
So,
There will be:
45/9 = 5 rows with photos of people
18/9 = 2 rows of photos of landscapes
63/9 = 7 rows of photos of pets
So, total number of rows would be = 5 + 2 + 7 = 14 rows
