Question
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−23
negative Start Fraction 2 over 3 End Fraction
23
Start Fraction 2 over 3 End Fraction
−16
negative Start Fraction 1 over 6 End Fraction
16
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−23
negative Start Fraction 2 over 3 End Fraction
23
Start Fraction 2 over 3 End Fraction
−16
negative Start Fraction 1 over 6 End Fraction
16
Answers
Answer
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
−2/3
negative Start Fraction 2 over 3 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
−1/6
negative Start Fraction 1 over 6 End Fraction
1/6
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
−2/3
negative Start Fraction 2 over 3 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
−1/6
negative Start Fraction 1 over 6 End Fraction
1/6
Answer
Question
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(54)×(79)×(−5)÷(72)
(1 point)
Responses
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−8
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(54)×(79)×(−5)÷(72)
(1 point)
Responses
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−8
Answer
Question
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−8
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−8
Answer
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?(1 point)
Responses
1/10 mile
Start Fraction 1 over 10 End Fraction mile
2/12 miles
2 Start Fraction 1 over 2 End Fraction miles
1/60 miles
1/60 miles
1/8 mile
Responses
1/10 mile
Start Fraction 1 over 10 End Fraction mile
2/12 miles
2 Start Fraction 1 over 2 End Fraction miles
1/60 miles
1/60 miles
1/8 mile
Answer
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?(1 point)
Responses
1/10 mile
Start Fraction 1 over 10 End Fraction mile
2/12 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
1/8 mile
Responses
1/10 mile
Start Fraction 1 over 10 End Fraction mile
2/12 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
1/8 mile
Answer
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?(1 point)
Responses
−80 gallons
negative 80 gallons
80 gallons
80 gallons
480 gallons
480 gallons
−480 gallons
Responses
−80 gallons
negative 80 gallons
80 gallons
80 gallons
480 gallons
480 gallons
−480 gallons
Answer
positive or negetive
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)
Responses
13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
13×150÷14
Responses
13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
13×150÷14
Answered by
GPT 3.5
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we will follow the order of operations.
First, we'll multiply -2 and 15, which equals -30.
Now, we'll divide -30 by 23, which gives approximately -1.304.
Next, we'll multiply -1.304 by -56, which equals approximately 72.864.
Finally, we'll divide 72.864 by 34, which gives approximately 2.144.
Therefore, the solution is approximately 2.144.
First, we'll multiply -2 and 15, which equals -30.
Now, we'll divide -30 by 23, which gives approximately -1.304.
Next, we'll multiply -1.304 by -56, which equals approximately 72.864.
Finally, we'll divide 72.864 by 34, which gives approximately 2.144.
Therefore, the solution is approximately 2.144.
Answered by
GPT 3.5
To solve the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4), we follow the order of operations.
First, we'll multiply -2 and 1/5. The product is -2/5.
Next, we'll divide -2/5 by 2/3. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we multiply -2/5 by 3/2. The result is -6/10, which simplifies to -3/5.
Then, we'll multiply -3/5 by -5/6. When multiplying fractions, we multiply the numerators together and the denominators together. So, (-3/5) * (-5/6) = (15/30), which simplifies to 1/2.
Finally, we'll divide 1/2 by 3/4. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we multiply 1/2 by 4/3. The result is 4/6, which simplifies to 2/3.
Therefore, the solution is 2/3.
First, we'll multiply -2 and 1/5. The product is -2/5.
Next, we'll divide -2/5 by 2/3. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we multiply -2/5 by 3/2. The result is -6/10, which simplifies to -3/5.
Then, we'll multiply -3/5 by -5/6. When multiplying fractions, we multiply the numerators together and the denominators together. So, (-3/5) * (-5/6) = (15/30), which simplifies to 1/2.
Finally, we'll divide 1/2 by 3/4. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we multiply 1/2 by 4/3. The result is 4/6, which simplifies to 2/3.
Therefore, the solution is 2/3.
Answered by
GPT 3.5
To solve the expression (9) ÷ (54) × (79) × (-5) ÷ (72), we will follow the order of operations.
First, we'll divide 9 by 54, which equals approximately 0.1667.
Next, we'll multiply 0.1667 by 79, which gives approximately 13.175.
Now, we'll multiply 13.175 by -5, which equals -65.875.
Finally, we'll divide -65.875 by 72, which gives approximately -0.9151.
Therefore, the solution is approximately -0.9151.
First, we'll divide 9 by 54, which equals approximately 0.1667.
Next, we'll multiply 0.1667 by 79, which gives approximately 13.175.
Now, we'll multiply 13.175 by -5, which equals -65.875.
Finally, we'll divide -65.875 by 72, which gives approximately -0.9151.
Therefore, the solution is approximately -0.9151.
Answered by
GPT 3.5
To solve the expression (9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2), we will follow the order of operations.
First, we'll divide 9 by 5/4. To divide by a fraction, we multiply by its reciprocal. So, (9) divided by (5/4) is equivalent to (9) multiplied by (4/5). This gives us 36/5.
Next, we'll multiply 36/5 by 7/9. To multiply fractions, we multiply the numerators and denominators separately. (36/5) multiplied by (7/9) gives us (252/45).
Now, we'll multiply (252/45) by -5, which gives us (-1260/45).
Finally, we'll divide (-1260/45) by 7/2. To divide by a fraction, we multiply by its reciprocal. So, we'll multiply (-1260/45) by (2/7). This gives us (-2520/315), which simplifies to (-8/1).
Therefore, the solution is -8.
First, we'll divide 9 by 5/4. To divide by a fraction, we multiply by its reciprocal. So, (9) divided by (5/4) is equivalent to (9) multiplied by (4/5). This gives us 36/5.
Next, we'll multiply 36/5 by 7/9. To multiply fractions, we multiply the numerators and denominators separately. (36/5) multiplied by (7/9) gives us (252/45).
Now, we'll multiply (252/45) by -5, which gives us (-1260/45).
Finally, we'll divide (-1260/45) by 7/2. To divide by a fraction, we multiply by its reciprocal. So, we'll multiply (-1260/45) by (2/7). This gives us (-2520/315), which simplifies to (-8/1).
Therefore, the solution is -8.
Answered by
GPT 3.5
To calculate how far the runner can go in 16 minutes at the same pace, we need to multiply their speed (1/4 mile every 8 minutes) by the number of sets of 8 minutes in 16 minutes.
Dividing 16 minutes by 8 minutes gives us 2 (16/8 = 2).
Now, if the runner completes 1/4 mile every 8 minutes, in 16 minutes they will cover 1/4 mile × 2 = 2/4 mile.
Simplifying 2/4 mile, we get 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
Dividing 16 minutes by 8 minutes gives us 2 (16/8 = 2).
Now, if the runner completes 1/4 mile every 8 minutes, in 16 minutes they will cover 1/4 mile × 2 = 2/4 mile.
Simplifying 2/4 mile, we get 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
Answered by
GPT 3.5
To calculate how far the runner can go in 16 minutes, we need to determine how many sets of 1/4 mile the runner can complete in 16 minutes.
Since the runner completes 1/4 of a 5-mile race every 8 minutes, in 16 minutes they will be able to complete 2 sets of 1/4 mile.
2 sets of 1/4 mile is equal to 2 * 1/4 = 2/4 mile.
Simplifying 2/4 mile, we get 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
Since the runner completes 1/4 of a 5-mile race every 8 minutes, in 16 minutes they will be able to complete 2 sets of 1/4 mile.
2 sets of 1/4 mile is equal to 2 * 1/4 = 2/4 mile.
Simplifying 2/4 mile, we get 1/2 mile.
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
Answered by
GPT 3.5
To calculate the total change in the amount of water in the tank after 6 days, we need to determine the change in water during each day and then multiply it by the number of days.
The tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, this means the tank decreases by 10 gallons every (24/3 = 8) sets of 3 hours.
Therefore, the tank decreases by 10 gallons * 8 sets = 80 gallons per day.
After 6 days, the total change in the amount of water in the tank would be 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
The tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, this means the tank decreases by 10 gallons every (24/3 = 8) sets of 3 hours.
Therefore, the tank decreases by 10 gallons * 8 sets = 80 gallons per day.
After 6 days, the total change in the amount of water in the tank would be 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
Answered by
GPT 3.5
From the information provided, we cannot determine if the total change in the amount of water in the tank after 6 days is positive or negative.
Answered by
GPT 3.5
To calculate the number of calories per serving, we need to divide the total number of calories by the number of servings.
The recipe calls for 13 of a container of yogurt, and each container has 150 calories. So, the total number of calories for 13 containers is 13 × 150 = 1950 calories.
The recipe makes 4 servings. To find the number of calories per serving, we divide the total number of calories (1950) by the number of servings (4).
So, the correct set of calculations is 1950 ÷ 4.
Therefore, the correct calculation is 13 × 150 ÷ 4.
The recipe calls for 13 of a container of yogurt, and each container has 150 calories. So, the total number of calories for 13 containers is 13 × 150 = 1950 calories.
The recipe makes 4 servings. To find the number of calories per serving, we divide the total number of calories (1950) by the number of servings (4).
So, the correct set of calculations is 1950 ÷ 4.
Therefore, the correct calculation is 13 × 150 ÷ 4.
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