<h3>
Answer: 33.3% approximately</h3>
Explanation:
Ignore the 15 pretzels. We're only focusing on the fish crackers.
3 orange + 5 yellow + 7 green = 15 total fish crackers
Of that total, 5 are yellow.
So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.
Answer: B
Step-by-step explanation:
The line is curved which makes it a non-linear function.
Answer:
General admissions sold: 880
Reserved seating sold: 256
Step-by-step explanation:
Set up equation:
Variable x = people who bought general admission
Variable y = people who bought reserved seating
x + y = 1136
5x + 7y = 6192
Isolate a variable in any equation:
Y = 1136 - x
Substitute the value of the variable in the other equation:
5x + 7(1136 - x) = 6192
5x + 7952 - 7x = 6192
-2x + 7952 = 6192
-2x = -1760
x = 880
Substitute the value of x in any equation:
880 + y = 1136
y = 256
Check your work:
880 + 256 = 1136
1136 = 1136
Correct!
5(880) + 7(256) = 6192
4400 + 1792 = 6192
6192 = 6192
Correct!
Answer:
f(w) = $100 + $15*w
Step-by-step explanation:
The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.
In the first week she will deposit $15, so she will have $100 + $15 = $115.
On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.
On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.
Therefore, after w weeks, she will have $100 + $15*w.
The function we are looking for is f(w) = $100 + $15*w
Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
__
For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
_____
<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
