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genyjoannerubiera
06.10.2019 •
Mathematics
Aperson is ordered by doctor to take 22 units of vitamin a, 18 units of vitamin d, and 11 units of vitamin e each day. there are three brands of vitamin supplement available: brand x contains 2, 1, and 2 units, brand y contains 3, 2, and 2 units and brand z contains 4, 4, and 1 units of vitamin a, d, and e, respectively. how many pills of each brand will provide the required amounts of vitamin? pills of brand x, pills of brand y and pills of brand z.
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Ответ:
2 pills of brand X, 2 pills of brand Y and 3 pills of brand Z.
Step-by-step explanation:
Required Vitamin :
Vitamin A ⇒ 22 unit
Vitamin D ⇒ 18 unit
Vitamin E ⇒ 11 unit
Units of A, D, E per brand :
X 2 1 2
Y 3 2 2
Z 4 4 1
Let 'u' units of X
'v' units of Y
'w' units of Z required
Then,
2u + 3v + 4w = 22 (1)
1u + 2v + 4w = 18 (2)
2u + 2v + 1w = 11 (3)
By solving the linear equation
u = 2, v = 2, w = 3
2 pills of brand X, 2 pills of brand Y and 3 pills of brand Z.
Ответ:
(2,0) is the midpoint
Step-by-step explanation:
Add the x values and divide by 2 so (6 + (-2)= 4 divided by 2 = 2
Add the y values and divide by 2 so (-2 + 2) = 0 divided by 2 = 0