Answer:
52/79
Step-by-step explanation:
One costume = 156 (This is our numerator.)
All visitors = 156 + 58 + 23 = 237 (This is our denominator.)
156/237
Find the GCF to simplify (sneak peek it's 3)
156/3 = 52
237/3 = 79
52/79 (tada!)
Answer:
4 oz
Step-by-step explanation:
there is 26 cups in 208 oz. so if there is 2 oz for every 13 cups there would be 4 oz of olive oil.
In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
B] f(n) = 6(3)n − 1; f(5) = 486
Step-by-step explanation:
First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.
So if the relation is exponential, if we divide the y coordinates you should get the same result every time.
18 / 6 = 3
54 / 18 = 3
162 / 54 = 3
So the y value increases 3 times. That means that the next value should be 162*3 = 486.