Answer:
2080 IU
Explanation:
Given
Ratio of vitamin A in cow milk to goat milk = 3 : 4
Required
Determine the content of vitamin A in goat milk if cow milk has 1560 IU
The given parameters shows a direct proportion.
Let G represents Goat and C represent Cow
Given that there exists a direct proportion;
C = K * G where K represents the constant of proportionality.
Solving for K when C = 3 and G = 4
C = K * G becomes
3 = K * 4
3 = 4K
Divide through by 4
¾ = K
K = ¾
Now, solving for G given that C = 1560IU;
We'll make use of the same formula as above
C = K * G
Substitute 1560 for C and ¾ for K; the expression becomes
1560 = ¾ * G
Multiply both sides by 4
4 * 1560 = 4 * ¾ * G
6240 = 3 * G
Multiply both sides by ⅓
⅓ * 6240 = ⅓ * 3 * G
2080 = G
G = 2080
Hence, the vitamin A in the goat milk is 2080IU
Answer:
The shipping weight of one dining chair without the cushion is 10.8 lbs
Explanation:
First find the total weight of the cushions by multiplying the weight of the cushions by the amount of cushions:
2.4x8=19.2
Then, find the weight of chairs without cushions by subtracting the weight of the cushions from the total weight of the chairs with the cushions on it:
105.6-19.2=86.4
Finally, find how much one chair without a cushion weighs by dividing the total weight of the chairs without cushion by the amount of chairs:
86.4÷8=10.8
The number of distinct computer systems that this person can purchase is equal to twelve (12).
<u>Given the following data:</u>
- Number of basic units = 3 models.
- Number of keyboard = 2 models.
- Number of printers = 2 models.
<h3>How to calculate the number of distinct systems.</h3>
In order to determine the number of distinct computer systems that this person can purchase, we would use a mathematical model referred to as combination.
Mathematically, combination is given by this mathematical equation:
<u>Where:</u>
- n is the number of items.
- r is the number of times of choosing items.
Substituting the given parameters into the formula, we have;
³C₁ × ²C₁ × ²C₁ = 3 × 2 × 2
Distinct systems = 12.
Read more on combination here: brainly.com/question/17139330
