Answer:
the function's period
Step-by-step explanation:
A periodic function has the same values in the same sequence for each period of the function. The nail will return to the same orientation after any integer number of full periods of the function.
To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...
Total nuts=144
The ratio of cashews to peanuts to almonds can be shown as:
cashews:peanuts:almonds
2:3:7
Now lets add up the numbers in the ratio.
2+3+7=12
So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds.
Now lets divide the total number of nuts (144) by the sum of the ratio (12).
144/12=12
Now we can solve for the number of every type of nut in the bag...
Cashews=12*2=24nuts
Peanuts=12*3=36nuts
Almonds=12*7=84nuts
Now we can answer the problem:
Peanuts-cashews=
36-24=12 nuts
Answer: There are 12 more peanuts than cashews.
Answer:
127.3 ft
Step-by-step explanation:
Make it a right triangle...
ΔABC is 90 by 90 by x
x = 
x = 
x = 
x = 127.3 ft
Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.
I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.
3 / 1 = 6 / 2 = 9 / 3 = 30 / 10
...And so on
Another example, 5:6 = 5 / 6.
5 / 6 = 10 / 12 = 15 / 18 = 30 / 36
To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.
Hope this helps!
p(x) = r(x) - c(x)
p(x) = 10x - (4x+15)
10x - 4x = 6x
The answer is C 6x - 15 because the negative is distributed into the positive 15 to make it a negative.
