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
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change in water for each day and then add them together.
Every day, the water tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, this means that the water tank decreases by 10 gallons every 24/3 = 8 times.
So, the daily change in water is 10 gallons x 8 = 80 gallons.
Now, to find the total change in the amount of water after 6 days, we multiply the daily change by the number of days:
Total change = 80 gallons x 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)
Responses
13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
13×150÷14
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13÷150÷4
To find the correct number of calories per serving, we need to multiply the amount of yogurt used in the recipe by the number of calories per container, and then divide by the number of servings.
The recipe calls for 1/3 of a container of yogurt. Each container has 150 calories. The recipe makes 4 servings.
Therefore, the correct set of calculations would be:
(1/3) * 150 / 4
which simplifies to:
50 / 4
The correct number of calories per serving is:
50 / 4 = 12.5
So, the correct answer is not listed among the given options.
Which answer is it tho
Apologies for the confusion. The correct set of calculations to find the number of calories per serving is:
(1/3) * 150 / 4 = 50 / 4 = 12.5
Therefore, the number of calories per serving is 12.5.
The correct answer among the given options is:
13 × 150 ÷ 4 = 1950 ÷ 4 = 487.5
So, the correct answer is not listed among the given options.
That’s not one of the answers
Give me one of the answers
Apologies for the confusion. Among the given options, the correct set of calculations to find the number of calories per serving is:
13 × 150 ÷ 4 = 1950 ÷ 4 = 487.5
So, according to the given options, the correct number of calories per serving would be 487.5.
That’s not an option
Apologies for the confusion. Among the given options, the correct set of calculations to find the number of calories per serving is:
13 × 150 ÷ 4 = 13 × 37.5 = 487.5
So, according to the given options, the correct number of calories per serving would be 487.5.
These are the answers 13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
13×150÷14
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13÷150÷4
Apologies for the confusion. Among the given options, the correct set of calculations to find the number of calories per serving is:
13 × 150 ÷ 4 = 13 × 37.5 = 487.5
Therefore, the correct answer is 13 × 150 ÷ 4.
Which of the following is an example of the principle of checks and balances?
(1 point)
Responses
Members of Congress have the power to raise their own salaries.
Members of Congress have the power to raise their own salaries.
Federal courts have the power to hear cases involving federal law.
Federal courts have the power to hear cases involving federal law.
Presidents can appoint officers of the armed forces.
Presidents can appoint officers of the armed forces.
Presidents can veto an act of Congress.
The correct answer is:
Presidents can veto an act of Congress.
This is an example of the principle of checks and balances because it allows the President to reject legislation passed by Congress, providing a check on the legislative branch's power. This ensures that no one branch of government becomes too powerful and helps maintain a system of balance and accountability.