Use the properties of operations and rules for multiplying and dividing to solve:(9)÷(54)×(79)×(−5)÷(72) Fractions
-1225/8
8
-8
1225/8
To solve the expression (9)÷(54)×(79)×(−5)÷(72) involving fractions, we can follow the order of operations (also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, we perform the division 9 ÷ 54:
9 ÷ 54 = 1/6
Now, we multiply 1/6 by 79:
1/6 × 79 = 79/6
Next, we multiply 79/6 by -5:
79/6 × -5 = -395/6
Finally, we divide -395/6 by 72:
-395/6 ÷ 72 = -395/6 × 1/72 = -395/4320 = -395 ÷ 4320 = -1225/8
Therefore, the simplified expression is -1225/8.
Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes? Fractions
To solve this problem, we need to find the distance the runner can go in 16 minutes by using the information provided.
The runner completes 1/4 of a 5-mile race every 8 minutes.
To find out how far the runner goes in 1 minute, we divide 1/4 mile by 8 minutes:
1/4 mile ÷ 8 minutes = 1/4 ÷ 8 = 1/32 mile per minute.
Now, we can multiply the distance the runner goes in 1 minute by 16 minutes to find the distance the runner can go in 16 minutes:
1/32 mile per minute × 16 minutes = 16/32 mile = 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
Nope wrong choose one of these
1/10
1/8
2 1/2
160
Apologies for the previous incorrect response. Let's solve the problem correctly.
The runner completes 1/4 of a 5-mile race every 8 minutes.
To find out how far the runner can go in 16 minutes, we need to determine how many 8-minute intervals there are in 16 minutes.
16 minutes ÷ 8 minutes = 2 intervals
Since the runner completes 1/4 of a 5-mile race in each 8-minute interval, we can find the distance the runner can go in 2 intervals by multiplying:
1/4 mile × 2 intervals = 2/4 mile
The fraction 2/4 can be simplified to 1/2.
Therefore, the runner can go 1/2 mile in 16 minutes.
Thus, the correct answer is 1/2.
2 1/2 ???
I apologize for the confusion. Let's solve the problem again.
The runner completes 1/4 of a 5-mile race every 8 minutes. This means in every 8 minutes, the runner covers 1/4 * 5 miles = 5/4 miles.
To find out how far the runner can go in 16 minutes, we need to determine how many sets of 8 minutes are there in 16 minutes.
16 minutes divided by 8 minutes equals 2 sets.
Therefore, the runner can cover 2 sets * 5/4 miles = 10/4 miles in 16 minutes.
The fraction 10/4 can be simplified to 2 1/2.
Hence, the correct answer is 2 1/2 miles.
A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?
−80 gallons
80 gallons−
-480 gallons
480 galloons
To find the total change in the amount of water in the tank after 6 days, we first need to determine the change in the amount of water per day.
The tank decreases by 10 gallons every 3 hours. To find the change per day, we need to convert the 3-hour interval to a 24-hour interval.
There are 24 hours in a day, so the tank decreases by 10 gallons every 3/24 or 1/8 of a day.
Next, we calculate the change in the amount of water in 6 days by multiplying the daily change by the number of days:
daily change = 10 gallons * (1/8) = 10/8 gallons
total change in 6 days = (10/8 gallons) * 6 days = 60/8 gallons
The fraction 60/8 can be simplified to 7.5 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 7.5 gallons.
Hence, the correct answer is 7.5 gallons.