Answer:
1.88
Step-by-step explanation:
A farmer sells 9.4 kilograms of pears and apples
4/5 of the total weight is pears while the rest is apple
Let x represent the number of apples
9.4= 4/5 ×9.4 + x
9.4 = 0.8×9.4+x
9.4 = 7.52+ x
9.4-7.52= x
1.88= x
x= 1.88
Paul has 70 Total sport cards.
3 (Baseball) + 3 (Football) + 4 (Baseball) = 10 (Total cards per pile) × 7 (Total Piles) = 70 (Total Cards
3+3+4=10×7=70
(All shown work is this ^)
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Answer:
2
Step-by-step explanation:
It sounds like we are pretending A is the universe. The only numbers in our world are 1,2,3,4, and 5.
You are given B is all numbers greater than 2.
The complement of B would all the elements not listed in B.
The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.
The elements not in B are 1 and 2.
So B complement is {1,2}.
There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
