1. (−2) × (15) = -30
2. -30 ÷ (23) = -1.3043 (rounded to 4 decimal places)
3. -1.3043 × (-56) = 73.0435 (rounded to 4 decimal places)
4. 73.0435 ÷ 34 = 2.1501 (rounded to 4 decimal places)
Therefore, (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately equal to 2.1501.
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
30 answers
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
1. (-2) × (1/5) = -2/5
2. (-2/5) ÷ (2/3) = -(2/5) * (3/2) = -6/10 = -3/5
3. (-3/5) × (-5/6) = (3/5) * (5/6) = 15/30 = 1/2
4. (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3
Therefore, (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) is equal to 2/3.
2. (-2/5) ÷ (2/3) = -(2/5) * (3/2) = -6/10 = -3/5
3. (-3/5) × (-5/6) = (3/5) * (5/6) = 15/30 = 1/2
4. (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3
Therefore, (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) is equal to 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
−16
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
−16
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (-2) × (15) = -30
2. -30 ÷ (23) = -1.304347826086957
3. -1.304347826086957 × (-56) = 73.04347826086956
4. 73.04347826086956 ÷ (34) = 2.150132637
Therefore, the solution is approximately 2.150132637.
So, let's simplify step by step:
1. (-2) × (15) = -30
2. -30 ÷ (23) = -1.304347826086957
3. -1.304347826086957 × (-56) = 73.04347826086956
4. 73.04347826086956 ÷ (34) = 2.150132637
Therefore, the solution is approximately 2.150132637.
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
Start Fraction 2 over 3 End Fraction
1/6
Start Fraction 1 over 6 End Fraction
−2/3
negative Start Fraction 2 over 3 End Fraction
−1/6
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
1/6
Start Fraction 1 over 6 End Fraction
−2/3
negative Start Fraction 2 over 3 End Fraction
−1/6
To solve the expression (-2)×(1/5)÷(2/3)×(-5/6)÷(3/4), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (-2) × (1/5) = -2/5
2. -2/5 ÷ (2/3) = -2/5 * 3/2 = -6/10 = -3/5
3. -3/5 × (-5/6) = -3/5 * -5/6 = 15/30 = 1/2
4. 1/2 ÷ (3/4) = 1/2 * 4/3 = 4/6 = 2/3
Therefore, the solution is 2/3.
So, let's simplify step by step:
1. (-2) × (1/5) = -2/5
2. -2/5 ÷ (2/3) = -2/5 * 3/2 = -6/10 = -3/5
3. -3/5 × (-5/6) = -3/5 * -5/6 = 15/30 = 1/2
4. 1/2 ÷ (3/4) = 1/2 * 4/3 = 4/6 = 2/3
Therefore, the solution is 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
To solve the expression (9)÷(5/4)×(7/9)×(-5)÷(7/2), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * 4/5 = 36/5
2. (36/5) × (7/9) = 36/5 * 7/9 = 252/45 = 14/5
3. (14/5) × (-5) = 14/5 * -5 = -70/5 = -14
4. (-14) ÷ (7/2) = -14 * 2/7 = -28/7 = -4
Therefore, the solution is -4.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * 4/5 = 36/5
2. (36/5) × (7/9) = 36/5 * 7/9 = 252/45 = 14/5
3. (14/5) × (-5) = 14/5 * -5 = -70/5 = -14
4. (-14) ÷ (7/2) = -14 * 2/7 = -28/7 = -4
Therefore, the solution is -4.
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
To solve the expression (9)÷(5/4)×(7/9)×(-5)÷(7/2), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we follow the order of operations, which states that we should perform any multiplication or division operations from left to right before performing any addition or subtraction operations.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
So, let's simplify step by step:
1. (9) ÷ (5/4) = 9 * (4/5) = 36/5
2. (36/5) * (7/9) = (36/5) * (7/9) = 252/45 = 14/5
3. (14/5) * (-5) = (14/5) * (-5) = -70/5 = -14
4. (-14) ÷ (7/2) = (-14) * (2/7) = -28/7 = -4
Therefore, the solution is -4.
(9) ÷ (5/4) × (7/9) × (−5) ÷ (7/2)
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
(1 point)
answers:
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
1,225/8
Start Fraction 1,225 over 8 End Fraction
8
Solve this multi-step problem. A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)
To find out how far the runner can go in 16 minutes at the same pace, we can set up a proportion using the information given.
Since the runner completes 14 miles in 8 minutes, we can set up the proportion:
14 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8x = 14 * 16
8x = 224
Dividing both sides of the equation by 8, we have:
x = 28
Therefore, the runner can go 28 miles in 16 minutes at the same pace.
Since the runner completes 14 miles in 8 minutes, we can set up the proportion:
14 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8x = 14 * 16
8x = 224
Dividing both sides of the equation by 8, we have:
x = 28
Therefore, the runner can go 28 miles in 16 minutes at the same pace.
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)
To find out how far the runner can go in 16 minutes at the same pace, we can set up a proportion using the information given.
Since the runner completes 1/4 of a 5-mile race in 8 minutes, we can set up the proportion:
1/4 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8x = (1/4) * 16
8x = 4
Dividing both sides of the equation by 8, we have:
x = 1/2
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 in 8 minutes, we can set up the proportion:
1/4 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8x = (1/4) * 16
8x = 4
Dividing both sides of the equation by 8, we have:
x = 1/2
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
wrong
Apologies for the mistake.
To find out how far the runner can go in 16 minutes at the same pace, we need to determine how many segments of 1/4 of the race the runner can complete in 16 minutes.
In 8 minutes, the runner completes 1/4 of the race. Therefore, in 16 minutes, the runner can complete 2 segments of 1/4 of the race.
So, the runner can go (2/4) * 5 miles in 16 minutes.
Simplifying the expression, we have:
(2/4) * 5 = 10/4 = 2.5
Therefore, the runner can go 2.5 miles in 16 minutes at the same pace.
To find out how far the runner can go in 16 minutes at the same pace, we need to determine how many segments of 1/4 of the race the runner can complete in 16 minutes.
In 8 minutes, the runner completes 1/4 of the race. Therefore, in 16 minutes, the runner can complete 2 segments of 1/4 of the race.
So, the runner can go (2/4) * 5 miles in 16 minutes.
Simplifying the expression, we have:
(2/4) * 5 = 10/4 = 2.5
Therefore, the runner can go 2.5 miles in 16 minutes at the same pace.
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
160 miles
160 miles
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
1/10 mile
Start Fraction 1 over 10 End Fraction mile
1/8 mile
Responses
160 miles
160 miles
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
1/10 mile
Start Fraction 1 over 10 End Fraction mile
1/8 mile
To find out how far the runner can go in 16 minutes, we can set up a proportion using the information given.
Since the runner completes 1/4 of a 5-mile race in 8 minutes, we have:
1/4 miles = 5 miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8 * (1/4) * x = 5 * 16
Simplifying, we have:
2x = 80
Dividing both sides by 2, we have:
x = 40
Therefore, the runner can go 40 miles in 16 minutes at the same pace.
Since the runner completes 1/4 of a 5-mile race in 8 minutes, we have:
1/4 miles = 5 miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8 * (1/4) * x = 5 * 16
Simplifying, we have:
2x = 80
Dividing both sides by 2, we have:
x = 40
Therefore, the runner can go 40 miles in 16 minutes at the same pace.
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)
answers:
160 miles
160 miles
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
1/10 mile
Start Fraction 1 over 10 End Fraction mile
1/8 mile
answers:
160 miles
160 miles
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
1/10 mile
Start Fraction 1 over 10 End Fraction mile
1/8 mile
To find out how far the runner can go in 16 minutes at the same pace, we can set up a proportion using the information given.
Since the runner completes 1/4 of a 5-mile race in 8 minutes, we can set up the proportion:
1/4 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8 * 1/4 = 16 * x
Simplifying, we have:
2 = 16 * x
Dividing both sides by 16, we have:
x = 2/16
Simplifying, we have:
x = 1/8
Therefore, the runner can go 1/8 mile in 16 minutes at the same pace.
Since the runner completes 1/4 of a 5-mile race in 8 minutes, we can set up the proportion:
1/4 miles = x miles
8 minutes = 16 minutes
Using cross-multiplication, we have:
8 * 1/4 = 16 * x
Simplifying, we have:
2 = 16 * x
Dividing both sides by 16, we have:
x = 2/16
Simplifying, we have:
x = 1/8
Therefore, the runner can go 1/8 mile in 16 minutes at the same pace.
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)
answers:
−80 gallons
negative 80 gallons
480 gallons
480 gallons
−480 gallons
negative 480 gallons
80 gallons
answers:
−80 gallons
negative 80 gallons
480 gallons
480 gallons
−480 gallons
negative 480 gallons
80 gallons
To find the total change in the amount of water in the tank after 6 days, we need to determine how much water is lost in each day and multiply it by the number of days.
Since the water tank decreases by 10 gallons every 3 hours, we can calculate how much water is lost in one day by multiplying 10 gallons by the number of 3-hour periods in a day, which is 8 (24 hours divided by 3).
So, the amount of water lost in one day is 10 gallons * 8 periods = 80 gallons.
To find the total change in the amount of water over 6 days, we simply multiply the amount lost in one day by the number of days: 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
Since the water tank decreases by 10 gallons every 3 hours, we can calculate how much water is lost in one day by multiplying 10 gallons by the number of 3-hour periods in a day, which is 8 (24 hours divided by 3).
So, the amount of water lost in one day is 10 gallons * 8 periods = 80 gallons.
To find the total change in the amount of water over 6 days, we simply multiply the amount lost in one day by the number of days: 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
A recipe calls for 1/3 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)
answers:
1/3÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
answers:
1/3÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
To find the correct number of calories per serving, we need to divide the total number of calories in 1/3 of a container of yogurt by the number of servings.
The correct set of calculations would be:
1/3 ÷ 150 ÷ 4
So, we start by dividing 1/3 by 150:
1/3 ÷ 150 = 0.002222...
Then, we divide the result by 4:
0.002222... ÷ 4 = 0.000555...
This means that each serving of the recipe has approximately 0.000555... calories.
Therefore, the correct set of calculations to find the number of calories per serving is 1/3 ÷ 150 ÷ 4.
The correct set of calculations would be:
1/3 ÷ 150 ÷ 4
So, we start by dividing 1/3 by 150:
1/3 ÷ 150 = 0.002222...
Then, we divide the result by 4:
0.002222... ÷ 4 = 0.000555...
This means that each serving of the recipe has approximately 0.000555... calories.
Therefore, the correct set of calculations to find the number of calories per serving is 1/3 ÷ 150 ÷ 4.