Answer:
x ≈ 1.8 cm gives the greatest volume
Step-by-step explanation:
After cutting x cm from each corner in each direction, the cardboard can be folded up to make a box that is x cm deep and (12 -2x) by (10 -2x) in length and width. Clearly, values of x are limited to 5 or less, since cutting 5 cm from each side would leave a width of zero. Then the volume is given by ...
V = x(12 -2x)(10 -2x)
The plot below shows the value of this cubic equation for volume, and identifies the peak as (x, V) ≈ (1.8, 96.8). That is, a cut of 1.8 cm will result in a box of approximate volume 96.8 cm³.
Answer:
There were 62 deaths
Step-by-step explanation:
In this question, we are asked to calculate the number of robberies in 2012.
From the question we can identify that the number of robberies were up 50% to 93. What this means is that the number is simply 150% of the old number.
Now, let’s represent the number of deaths in 2012 by x
Mathematically;
150% of x = 93
150/100 * x = 93
150x = 93 * 100
150x = 9300
x = 9300/150
x= 62
This means there were 62 deaths in the year 2012
Answer:
3/4 all the girls
Step-by-step explanation:
you said 3/4 of the team are girls and 3/4 of the girls are in 8th grade! So that's all the girls...All the girls are in 8th grade!
Answer:86%
Step-by-step explanation:
71+83+86=240
240/3=80% average
