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.
Answer: 
<u>Step-by-step explanation:</u>
(7, 6)
Use Pythagorean Theorem to find the hypotenuse:
7² + 6² = c²
49 + 36 = c²
85 = c²
√85 = c
adjacent = 7, opposite = 6, hypotenuse = √85
sec θ =
= 
3x - 6y = -2
-6y = -3x - 2, divide through by -1
6y = 3x + 2, divide through by 6
y = 3x/6 + 2/6
y = x/2 + 1/3
No, in order to do the correct ratio she would have needed to add 4.5 pints to 3 pints because if you divide 9:6 by 2 it is 4.5:3 not 4:3
(a) Kim x years old
Jordan x+7 years old
4(x+7)=200
An Equation That Could Be Used To Solve For Kim's Age , x Is 4x+28=200.
(b) 4x=200-28
4x=172
x=43
Kim Is 43 Years Old.
(c) x+7
=43+7
=50
Jordan Is 50 Years Old.