Answer:
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Step-by-step explanation:
<u><em>The correct question is </em></u>
Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?
Let
x ----> the number of cards that Frank has
y ----> the number of cards that his friend has
we know that
Together they have 42 cards
----> equation A
Frank has 6 more than half the number of cards as his friend
---> equation B
Solve the system by substitution
Substitute equation B in equation A

solve for y

<em>Find the value of x</em>

therefore
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Answer:
b ≤ 50
Step-by-step explanation:
Since no more than 400 pounds of b number of 8 pound boxes can be taken off to ensure that the plane is in balance, this can be represented by the inequality:
8b ≤ 400
b ≤ 400/8
b ≤ 50
This means that a maximum number of 50 8 pounds boxes can be taken off the plane for a 600 pound crate to be put on ensuring that the plane is in balance.
Answer:
Correct answer: h = 3/5 or y = 3/5
Step-by-step explanation:
Given:
h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)
h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get
h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)
The terms 1/x and 1/x² when x strives ∞ they strives 0
x -> ∞ ⇒ 1/x -> 0 and x -> ∞ ⇒ 1/x² -> 0
h = (3 - 0 - 0) / (5 - 0 + 0)
Horizontal asymptote is h = 3/5 or y = 3/5
God is with you!!!
Step-by-step explanation:
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