The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;
- 219 gallons of 9% fat.
- 146 gallons of 7% fat.
<h3>What quantity of each type of milk is required for the desired 365 gallon?</h3>
It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.
Let x = quantity of 9% fat milk and
Let y = quantity of 4% fat milk
Therefore, by mass balance; we have;
x + y = 365.
Where; y = 365 - x.
Also, by fat balance; we have;
(9% × x) + (4% × y) = (7% × 365)
9x + 4y = 2555
Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;
9x + 4 (365 - x) = 2555
5x = 1095
x = 1095/5
x = 219 gallons.
Also, y = 365 - 219 = 146 gallons.
Read more on simultaneous equations;
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Answer:
Step-by-step explanation:
A proportion is an equation that defines that two ratios are equal. When the terms of a proportion are cross multiplied, the cross products are equal. Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio:
Therefore:
If the mean time to respond to a stimulus is much higher than the median time to respond, the shape of the distribution of response times is positively skewed
<h3>How to determine the shape of the distribution</h3>
For a distribution, the following are the relationships between the mean and the median values
- Equal mean and median
- Mean greater than median
- Median greater than mean
When the mean is greater than the median, it means that the distribution is skewed right or positively skewed
Hence, the shape of the distribution of response times is positively skewed.
Read more about skewness at:
brainly.com/question/24309209
Answer:
x = -3
Step-by-step explanation:
-3x + 1 = 10
=> subtract 1 from both sides
-3x = 9
=> divide both sides by -3
x = -3
Answer:
-15
Step-by-step explanation:
8+7=15
so
-8-7 = -15
