Please answer number 40 pls
1 answer:
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Answer:
The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Step-by-step explanation:
As given
6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .
Let us assume that x quarts are used for 6% butterfat milk .
Than (30 - x) quarts are used for 3% butterfat milk .
6% is written in the decimal form
= 0.06
3% is written in the decimal form
= 0.03
5% is written in the decimal form
= 0.05
Than the equation becomes
0.06 × x + (30 - x) × 0.03 = 30 × 0.05
0.06x + 0.9 - 0.03x = 1.5
0.06x - 0.03x = 1.5 - 0.9
0.03x = 0.6
x = 20 quarts for 6% butterfat milk .
(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .
Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Answer:
(a) Set of rational numbers
(b)
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
In the given options (a) to (d), only
is not close under addition because:
is irrational while
is rational
<em>In other words, they belong to different set</em>
