4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
$333.33
$333.33
-$333.33
-$333.33
-$0.003
-$0.003
$0.003
$0.003
would it be negative or positive?
The value decrease per month would be negative, so the correct answer is -$333.33.
u just said it was $0.003 so is it -$0.003 or is it -$333.33?
I apologize for the confusion. The correct answer is -$333.33. The car's value decreases by $4000 in 12 months, so to find the value decrease per month, you would divide $4000 by 12, which equals $333.33. Since it is a decrease, it would be represented as -$333.33.
positive?
I apologize for the confusion. The car's value decreases by $4000 in 12 months, so to find the value decrease per month, you would divide $4000 by 12, which equals approximately $333.33. Since it is a decrease, it would be represented as -$333.33.
okay
5. It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
4 ounces
4 ounces
-4 ounces
-4 ounces
0.4 ounces
0.4 ounces
-0.4 ounces
To find the amount of water the canteen should change every 10 minutes, you need to determine how much water is consumed in one hour and then divide that by 6 (since there are 6 sets of 10 minutes in an hour).
24 ounces of water are consumed in one hour, so in 10 minutes, (24/6) ounces of water should be consumed.
This simplifies to 4 ounces. Therefore, the correct answer is 4 ounces.
negative or positive?
The canteen should decrease by 4 ounces every 10 minutes, so the correct answer is -4 ounces.
ty
You're welcome! If you have any more questions, feel free to ask.
6. Joshua is sharing half of a pizza with three friends. Which expression can be used to find the fraction of a whole pizza each person will get, if they sprint what they have evenly?(1 point)
Responses
1/2⋅1/4
1 half times 1 fourth
1/2⋅4
1 half times 4
2⋅4
2 times 4
2⋅1/4
2 times 1 fourth
To find the fraction of a whole pizza each person will get if they split it evenly among four people, you would divide the pizza into 4 equal parts.
The correct expression to represent this situation is 1/2 * 1/4. This is because Joshua is sharing half of the pizza with three friends, so each person will receive 1/4 of the pizza.
So, the correct answer is 1/2 * 1/4.
are u sure?
Apologies for the confusion. You are correct, the correct expression should be 1/2 * 1/4. This is because Joshua is sharing half of the pizza with three friends, so each person will receive 1/4 of the pizza. Thank you for pointing out the mistake and I apologize for any confusion caused.
ok
7. Which quotient is between -4 and -5?
Hint: Use your calculator for this problem.
(1 point)
Responses
1 2/3÷(−12/)
1 and 2 thirds divided by open paren negative 1 half close paren
−5 1/2÷(−1 1/2)
negative 5 and 1 half divided by open paren negative 1 and 1 half close paren
256÷(−1/2)
2 and 5 sixths divided by open paren negative 1 half close paren
−913÷2
negative 9 and 1 thirds divided by 2
To determine the quotient between -4 and -5, we can calculate the values of the expressions given and see which is between -4 and -5.
1 2/3 ÷ (-12/7) ≈ -1.42857 (not between -4 and -5)
-5 1/2 ÷ (-1 1/2) = -4 (not between -4 and -5)
256 ÷ (-1/2) ≈ -512 (not between -4 and -5)
-913 ÷ 2 ≈ -456.5 (between -4 and -5)
Therefore, the expression -913÷2 gives a quotient between -4 and -5.
9 1/3 ÷ 2
To find the quotient of 9 1/3 ÷ 2, you would first convert the mixed number to an improper fraction.
9 1/3 as an improper fraction is (9*3 + 1) / 3 = 28/3.
Now, divide 28/3 by 2:
(28/3) ÷ 2 = (28/3) * (1/2) = 28/6 = 14/3.
So, the quotient of 9 1/3 ÷ 2 is 14/3.
as a decimal
To find the quotient of 9 1/3 ÷ 2 as a decimal, you would divide 9 1/3 by 2 and express the result as a decimal.
To do this, first convert the mixed number 9 1/3 to an improper fraction:
9 1/3 as an improper fraction is (9*3 + 1) / 3 = 28/3.
Then, divide 28/3 by 2:
(28/3) ÷ 2 = 28/3 * 1/2 = 28/6 = 4.6667 (rounded to four decimal places).
Therefore, the quotient of 9 1/3 ÷ 2 as a decimal is approximately 4.6667.
but u just said it would be abt ≈ -456.5
Apologies for the mistake in my previous response. You are correct.
To find the quotient of 9 1/3 ÷ 2 as a decimal, you would first convert the mixed number to an improper fraction:
9 1/3 as an improper fraction is (9*3 + 1) / 3 = 28/3.
Then, divide 28/3 by 2:
(28/3) ÷ 2 = (28/3) * (1/2) = 28/6 ≈ 4.6667 (rounded to four decimal places).
Therefore, the quotient of 9 1/3 ÷ 2 as a decimal is approximately 4.6667. I apologize for the confusion caused by my previous response.
ok so then Which quotient is between -4 and -5?
To find the quotient that is between -4 and -5, we can calculate the values of the expressions given and see which one falls between -4 and -5.
1 2/3 ÷ (-12/7) ≈ -1.42857 (not between -4 and -5)
-5 1/2 ÷ (-1 1/2) = -4 (not between -4 and -5)
256 ÷ (-1/2) ≈ -512 (not between -4 and -5)
-913 ÷ 2 ≈ -456.5 (between -4 and -5)
Therefore, the quotient -913 ÷ 2 is the one that falls between -4 and -5.
ok
Convert 3 16/25
to a decimal.(1 point)
Responses
0.64
0.64
12.64
12.64
3.64
3.64
1.92
To convert 3 16/25 to a decimal, you can first convert the mixed number to an improper fraction:
3 16/25 as an improper fraction is (3 * 25 + 16) / 25 = 91/25.
To express it as a decimal, divide 91 by 25:
91 ÷ 25 = 3.64
Therefore, the decimal representation of 3 16/25 is 3.64.
r u sure?
Apologies for the mistake in my previous response. You are correct.
To convert 3 16/25 to a decimal, you can first convert the mixed number to an improper fraction:
3 16/25 as an improper fraction is (3 * 25 + 16) / 25 = 91/25.
To express it as a decimal, divide 91 by 25:
91 ÷ 25 = 3.64
Therefore, the decimal representation of 3 16/25 is 3.64. I apologize for the confusion caused by my previous response.