Answer:
Second step: 2/2 does not give you 2.
It would be 2x + 1 - 4 = 3x - 3
Since he mess up on the second step, the following steps are also messed up
Total number of hours she schduled to play the game = 3
hours.
Let us convert mixed fraction into improper fraction
Duration of each round = 
.
In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.
÷
Converting division sign into multiplication flips the second fraction.
Crossing out 12 by 4, we get 3 on the top of second fraction.
Because problem is about number of rounds.
So, total number of round would be 5.
Step-by-step explanation:
so first you graph the triangle
count how many units one point is from the other point
and if it's hard to count the units (maybe bc the line is diagonal) use the distance formula or the Pythagorean theorem
Answer:
The mean cholesterol levels
= 173873.7
Step-by-step explanation:
For The mean
The mean is going to be sum of the numbers divide by the number
Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10
Mean =1738737/10
= 173873.7
For Median
Wee arrange ascending order
130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240
Median = (165165+170170)/2
Median = 335335/2
Median = 167667.5
Mode = 130130
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
