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.
No, it's fractions choose on of the answers I gave you
Apologies for the confusion. Let's solve the problem using the fractions you provided.
The tank decreases by 10 gallons every 3 hours every day.
To find the total change in the amount of water in the tank after 6 days, we need to determine the total decrease in gallons.
The tank decreases by 10 gallons every 3 hours, which is equivalent to a decrease of 10/3 gallons per hour.
In 24 hours (1 day), there are 24/3 = 8 intervals of 3 hours.
Therefore, the daily decrease in gallons is 10/3 gallons/hour * 8 intervals = 80/3 gallons.
To find the total decrease in gallons after 6 days, we multiply the daily decrease in gallons by 6:
Total decrease = (80/3 gallons/day) * 6 days = 480/3 gallons = 160 gallons.
Thus, the correct answer is 160 gallons.
Choose one of the answers I gave u
Apologies for the oversight. Based on the options provided, the correct answer is:
-480 gallons
When u gave me the answer of -1225/8 YOU were wrong. What's the correct answer😐
Apologies for the mistake in my initial response. Let's solve the expression correctly.
To solve (9)÷(54)×(79)×(−5)÷(72), we can simplify each fraction and carry out the operations:
First, simplify the fractions:
9 ÷ 54 = 1/6
Now, multiply 1/6 by 79:
(1/6) × 79 = 79/6
Next, multiply 79/6 by -5:
(79/6) × -5 = -395/6
Finally, divide -395/6 by 72:
(-395/6) ÷ 72 = -395/6 × 1/72 = -395/432
Therefore, the simplified expression is -395/432.
Apologies for the confusion earlier. The correct answer is -395/432.
Wrong it's
-8.
YOU are dumb
I apologize if my previous response was not satisfactory. However, I would like to inform you that the correct answer is indeed -395/432 or approximately -0.9144, not -8.
Mathematical calculations are based on principles and rules, and the answer is determined accurately using those principles. If you have any further questions or concerns, please let me know, and I'll be happy to assist you.
Which feature of geography was the most important in the development of Mesopotamia?(1 point) short answer s only
The most important feature of geography in the development of Mesopotamia was the presence of the Tigris and Euphrates rivers.
which led to city-states forming in mesopotamian
The availability of water from the Tigris and Euphrates rivers led to the development of irrigation systems, which in turn allowed for agricultural surplus. This surplus, along with the strategic location for trade routes, led to the emergence of city-states in Mesopotamia.
I said short
Rivers.
Which one is the answer to the most recent question I asked u
A food surplus allowed the population to grow and people could settle down with each other.
A food surplus allowed the population to grow and people could settle down with each other.
Kings were able to gain control of land and stop fighting each other.
Kings were able to gain control of land and stop fighting each other.
Priests declared a city-state was wanted by the gods.
Priests declared a city-state was wanted by the gods.
People refused to hunt and gather anymore.
Apologies for the misunderstanding. The correct answer to the most recent question you asked is:
A food surplus allowed the population to grow and people could settle down with each other.
Put these in the correct order for people lived in the past. Top=how people lived firstMiddle=how their living changedBottom=newest way of living for people
City-states
villages
empires
In chronological order, the correct order for how people lived in the past would be:
1. Villages
2. City-states
3. Empires
Please note that the use of "newest" or "oldest" can be relative to the specific time period being referred to.