1800 boxes with 24 candies each
Total = 1800 * 24 = 43 200 candies
The machine makes 600 candies in 1 minute
1 candy would take (1/600) minute
43 200 candies would take 43200 * 1/600 = 72
= 72 minutes.
Therefore the 1800 boxes would be done in 72 minutes.
Answer:
y=1/5x+11/5
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y-y^1=m(x-x^1) to find line parallel to -x+5y=1
Hope this helps
7. (150 cal)/(3/4 serving) = 150/1 / 3/4 = 150/1 * 4/3 = 200 cal/serving
You can see how this works by thinking through what's going on.
In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97
What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.
So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.
So the population after x years is 1200 * 0.97x
Let x be the mystery number
25% = 0.25
So, 24/x = 0.25
Now, we have to rearrange the equation to get:
x = 24/0.25 = 96
Don't hesitate to ask any further questions!
Hope I helped! xx
