Answer: 266
Step-by-step explanation: This is a ratio problem. If there are 14 chocolates with nuts out of every 32 chocolates, you can use this as a ratio and set it up as a proportion.
(1) 14 chocolates w/ nuts / 32 chocolates = n chocolates / 608 chocolates
(2) Solve for n: 8,512 = 32n; n = 266
Answer:B & E
Step-by-step explanation:
We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.
Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.
<em>For reference, the point-slope form is </em>
The first line is found in option E, so option E is one of the correct options.
We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).
If we multiply the whole equation by -4, we can get rid of the fraction.
Hence, option B is also correct.
Answer:
Step-by-step explanation:
Given
First, we need to list the multiples of 5
Then, multiples of 3
Next, is to list out the common elements in both
The required probability is then calculated as thus:
Answer:
14.8-16x
Step-by-step explanation:
2x+14-18x+0.8
14.8-16x
Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.