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
−16
negative Start Fraction 1 over 6 End Fraction
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
To solve the expression:
(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)
First, let's simplify the multiplication and division from left to right:
(-2) × (1/5) = -2/5
-2/5 ÷ (2/3) = -2/5 × (3/2) = -6/10 = -3/5
-3/5 × (-5/6) = 15/30 = 1/2
1/2 ÷ (3/4) = 1/2 × (4/3) = 4/6 = 2/3
So, the final answer is 2/3.
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
212 miles
2 Start Fraction 1 over 2 End Fraction miles
110 mile
Start Fraction 1 over 10 End Fraction mile
18 mile
Start Fraction 1 over 8 End Fraction mile
160 miles
To find out how far the runner can go in 16 minutes, we need to double the distance they can cover in 8 minutes.
Since the runner completes 1/4 of the race in 8 minutes, they cover 1/4 of 5 miles.
1/4 of 5 miles = 5/4 miles
To find out how far they can go in 16 minutes, we double the distance:
2 * (5/4) miles = 10/4 miles = 2 1/2 miles
Therefore, the runner can go 2 1/2 miles in 16 minutes.
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
−8
negative 8
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−1,2258
To solve the expression:
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
First, let's simplify the division and multiplication from left to right:
(9) ÷ (5/4) = 9 × (4/5) = 36/5
(36/5) × (7/9) = (36/5) × (7/9) = 252/45 = 14/5
(14/5) × (-5) = -70/5 = -14
(-14) ÷ (7/2) = -14 × (2/7) = -28/7 = -4
So, the final answer is -4.
That’s not an answer
Apologies for the incorrect response. Let's solve the expression correctly:
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
We'll simplify the expression using the properties of operations and rules for multiplying and dividing:
(9) ÷ (5/4) = 9 × (4/5) = 36/5
(36/5) × (7/9) = (36/5) × (7/9) = 252/45 = 14/3
14/3 × (-5) = -70/3
(-70/3) ÷ (7/2) = (-70/3) × (2/7) = -140/21 = -20/3
The final answer is -20/3.
That’s still the wrong answer
These are the answers
−8
negative 8
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−1,2258
I apologize for the confusion. Let's solve the expression correctly:
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
First, let's simplify the division:
(9) ÷ (5/4) = 9 × (4/5) = 36/5
Now let's multiply the fractions and simplify the expression:
(36/5) × (7/9) = (36*7)/(5*9) = 252/45 = 28/5
Now let's multiply by -5:
(28/5) × (-5) = (28*(-5))/5 = -140/5 = -28
Finally, divide by (7/2):
(-28) ÷ (7/2) = (-28) × (2/7) = -56/7 = -8
Therefore, the correct answer is -8.
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
80 gallons
−80 gallons
negative 80 gallons
−480 gallons
negative 480 gallons
480 gallons