. How many 4/3
pint servings are in 28/3
pints of milk?
To find out how many 4/3 pint servings are in 28/3 pints of milk, you need to divide the total amount of milk by the amount in each serving.
28/3 ÷ 4/3
When dividing fractions, you can multiply the dividend (28/3) by the reciprocal of the divisor (3/4).
28/3 * 3/4 = (28 * 3) / (3 * 4) = 84/12
This simplifies to 7/1 or 7.
Therefore, there are 7 servings of 4/3 pint in 28/3 pints of milk.
Divide −3/17
by −2/3
When dividing fractions, you can multiply the dividend by the reciprocal of the divisor.
To divide -3/17 by -2/3, you multiply -3/17 by 3/-2.
(-3/17) * (3/-2) = (-3 * 3) / (17 * 2) = -9/34
Therefore, -3/17 divided by -2/3 is equal to -9/34.
Divide −4/9
by 4/7
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
(-4/9) ÷ (4/7) = (-4/9) * (7/4)
The negative signs in the numerators cancel out:
= (-4 * 7) / (9 * 4)
Simplifying the numerator and denominator:
= -28/36
Since -28 and 36 have a common factor of 4, we can simplify further:
= -7/9
Therefore, -4/9 divided by 4/7 is equal to -7/9.
How is the sign of the quotient determined?(1 point)
Responses
The quotient is negative if signs of the divisor and dividend are like.
The quotient is negative if signs of the divisor and dividend are like.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
The quotient is positive if signs of the divisor and dividend are like.
The quotient is positive if the signs of the divisor and dividend are like.
-5(-10)(12)
To simplify the expression -5(-10)(12), we need to perform the multiplication.
-5(-10)(12) = (-5) * (-10) * (12)
Multiplying the negative numbers gives a positive result:
= 50 * 12
= 600
Therefore, -5(-10)(12) simplifies to 600.
Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?
Hint: Each price listed in the chart is a flat fee for the service.
(1 point)
Responses
$79.76
$79.76
$89.29
$89.29
$375.00
$375.00
$93.75
$93.75
Question 5
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses
$936
$936
-$117
-$117
-$936
-$936
$117
$117
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses
18 inches
18 inches
-18 inches
-18 inches
-108 inches
-108 inches
108 inches
108 inches