B for Brats and H for Hamburgers
3 total for each of 30 guests
B + H = 3x30 = 90
Then $1.25B + $0.75H <= to $120
Solving for B=90-H
1.25B + 0.75(90-B) <=120 yields cost of B is $52.50 so B = 42.
90-42 = 48 H
So you can buy 42 Brats and 48 Hamburgers
Answer:
16.2
Step-by-step explanation:
A trick to remember for right triangles is SOH-CAH-TOA:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Here, we have the side adjacent to the angle and the hypotenuse. So we should use cosine.
cos 22° = 15 / x
x = 15 / cos 22°
x ≈ 16.2
Answer:
The slope --> m = 3
A point from the line --> ( 0 , 23 )
Step-by-step explanation:
To find the slope you put the equation y+2=3(x-7) into Slope-Intercept Form (y=mx+b)
y+2=3(x-7) --> y+2=3x-21 --> y=3x-23
m is the slope and m=3
b is the y-intercept and b is 23
Hope this helps .-.
Answer:
Step-by-step explanation:
<em>See the attached</em>
All given details are reflected in the diagram (not to scale)
- PA is at 225°, PB is at 116°, BA is at 258°
- AB = 3.9 km
- AP = x
- m∠P = 225° - 116° = 109°
- m∠A = 258° - 225° = 33°
- m∠B = 180° - (109° + 33°) = 38°
<u>Use the law of sines:</u>
- x/ sin 38° = 3.9 / sin 109°
- x = 3.9 sin 38° / sin 109°
- x = 2.54 km (rounded)
