The net amount they raise is the amount they receive minus what they pay in expenses.
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.
The correct answer is seven
Answer:
D and B
Step-by-step explanation:
D for the first question and B for the second one
Is there an attachment? I can’t help.
Answer:
a) (-9, +∞)
b) [8/3, +∞)
Step-by-step explanation:
a) 6x - 5 < 7x + 4
We need to write the terms with x on one side and the terms without x on the other side
6x - 5 < 7x + 4
-5 - 4 < 7x - 6x
-9 < x
Therefore x >-9, in set notation this would be (-9, +∞)
b) x² + 3(x - 1) ≥ x² + 5
We need to solve first the parentheses and combine like terms
x² + 3(x - 1) ≥ x² + 5
x² +3x -3 ≥ x² + 5
x² - x² + 3x ≥ 5 + 3
3x ≥ 8
x ≥ 8/3
Therefore, the solution in set notation would be [8/3, +∞)
*Both graphs on the number line are below*