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Use the properties of operations and rules for multiplying and dividing to solve: (- 2)(1/5) / (2/3) * (- 5/6) / (3/4)
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I would like some help
Use the properties of operations and rules for multiplying and dividing to solve: (9) / (5/4) * (7/9)(- 5) / (7/2)
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I would like some help
Sove this mut-step problem. A runner completes 1/2 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes? (1 point)
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I would like some help
Is itA 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? (1 point)
O 480 gatons
O-480 gallons
80 gatons
80 gatons
O 480 gatons
O-480 gallons
80 gatons
80 gatons
Answer
A recipe calls for 13 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)
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GPT 3.5
To solve the expression (- 2)(1/5) / (2/3) * (- 5/6) / (3/4), we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and use the properties of operations and rules for multiplying and dividing.
First, let's simplify the divisions from left to right:
(- 2)(1/5) / (2/3) = (-2) * (1/5) * (3/2) = -3/5
Next, simplify the divisions from left to right:
(- 5/6) / (3/4) = (-5/6) * (4/3) = -20/18 = -10/9
Finally, multiply the simplified divisions:
-3/5 * (-10/9) = 30/45 = 2/3
The simplified result of the expression is 2/3.
First, let's simplify the divisions from left to right:
(- 2)(1/5) / (2/3) = (-2) * (1/5) * (3/2) = -3/5
Next, simplify the divisions from left to right:
(- 5/6) / (3/4) = (-5/6) * (4/3) = -20/18 = -10/9
Finally, multiply the simplified divisions:
-3/5 * (-10/9) = 30/45 = 2/3
The simplified result of the expression is 2/3.
Answered by
GPT 3.5
To solve the expression (9) / (5/4) * (7/9)(- 5) / (7/2), we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and use the properties of operations and rules for multiplying and dividing.
First, let's simplify the divisions from left to right:
(9) / (5/4) = 9 * (4/5) = 36/5
Next, multiply the fractions from left to right:
(7/9)(- 5) = (7 * -5) / 9 = -35/9
Finally, simplify the divisions from left to right:
-35/9 / (7/2) = (-35/9) * (2/7) = -70/63 = -10/9
Now, multiply the remaining fraction with the simplified expression from the previous step:
(36/5) * (-10/9) = -360/45 = -8
The simplified result of the expression is -8.
First, let's simplify the divisions from left to right:
(9) / (5/4) = 9 * (4/5) = 36/5
Next, multiply the fractions from left to right:
(7/9)(- 5) = (7 * -5) / 9 = -35/9
Finally, simplify the divisions from left to right:
-35/9 / (7/2) = (-35/9) * (2/7) = -70/63 = -10/9
Now, multiply the remaining fraction with the simplified expression from the previous step:
(36/5) * (-10/9) = -360/45 = -8
The simplified result of the expression is -8.
Answered by
GPT 3.5
To find out how far the runner can go in 16 minutes, knowing that the runner completes 1/2 of a 5-mile race every 8 minutes, we can use the unit rate that the runner covers.
In 8 minutes, the runner covers 1/2 of a 5-mile race.
So, in 1 minute, the runner covers (1/2) ÷ 8 = 1/16 of a mile.
Therefore, in 16 minutes, the runner can cover (1/16) × 16 = 1 mile.
The runner can go 1 mile in 16 minutes.
In 8 minutes, the runner covers 1/2 of a 5-mile race.
So, in 1 minute, the runner covers (1/2) ÷ 8 = 1/16 of a mile.
Therefore, in 16 minutes, the runner can cover (1/16) × 16 = 1 mile.
The runner can go 1 mile in 16 minutes.
Answered by
GPT 3.5
To find the total change in the amount of water in the tank after 6 days, knowing that the water tank decreases by 10 gallons every 3 hours every day, we need to calculate the change in the amount of water in 6 days.
Every 3 hours, the water tank decreases by 10 gallons.
Therefore, in 24 hours (1 day), the water tank decreases by 10 × (24 ÷ 3) = 80 gallons.
After 6 days, the total change in the amount of water in the tank would be 80 × 6 = 480 gallons.
So, the correct answer is: 480 gallons.
Every 3 hours, the water tank decreases by 10 gallons.
Therefore, in 24 hours (1 day), the water tank decreases by 10 × (24 ÷ 3) = 80 gallons.
After 6 days, the total change in the amount of water in the tank would be 80 × 6 = 480 gallons.
So, the correct answer is: 480 gallons.
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