Let the initial count of his fish be n.
He gives away 2/3 of these fish: 2n/3, leaving n/3 fish.
He gives away 2/5 of these remaining n/3 fish: (2/5) times (n/3), or
2n
--- , meaning that (3/5) times (n/3) fish are left.
15
(3/5)(n/3) = n/5 fish left = 30 fish. Thus, n = 150 fish.
Be certain to check this answer!
Answer:
9. x = 5
10. AD = 7
Step-by-step explanation:
As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD:
AD = 2(5) -3
AD = 10 - 3
AD = 7
Answer:
none of the above
f(x) ≈ 197·1.03^x; approximately 3% daily
Step-by-step explanation:
If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...
f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x
f(x) ≈ 197·1.03^x
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The daily multiplier of 1.03 represents a daily growth rate of
1.03 -1 = .03 = 3%
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These answers are not found among the offered choices:
f(x) = 197·1.03^x
3% daily growth
Step-by-step explanation:
For eight loop, multiply it by 3 to get the whole length of loop
8 x 3 = 24 inches
Since 12 inches is equivalent to 1 feet, convert that
24 inches * (1 feet / 12 inches) = 2 feet
Hi there!
We are given the equation:
x² - 2y = 7
To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:
1. (5)² - 2(8) = 7
25 - 16 = 9 ≠ 7. This is NOT correct.
2. (-1)² - 2(-3) = 7
1 + 6 = 7. This is correct.
3. (-4)² - 2(-11.5) = 7
16 + 23 = 39 ≠ 7. This is NOT correct.
4. (1.2)² - 2(-2.78) = 7
1.44 +5.56 = 7. This is correct.
Thus, only 1 and 4 are the correct answers.
