1. 641
2. 65.4
3. 21+7=28 total marbles. The greatest number of groups would be 7, with 1 blue and 3 white.
4. 80% of 685= .80 x 685= 548 students.
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
![x = \frac{216}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B216%7D%7B4%7D)
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can =
= $0.216
The cost of making the Larger can =
=$0.324
The legs are defined by
. The Hypotenuse if defined by
. The perimeter is defined by:
![p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x](https://tex.z-dn.net/?f=p%28x%29%20%3D%20h%28x%29%2B2%5Ccdot%20L%28x%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%20L%28x%29%5Ccdot%5Csqrt%7B2%7D%20%2B2%5Ccdot%20L%28x%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%20L%28x%29%5Ccdot%5Cleft%28%5Csqrt%7B2%7D%2B2%5Cright%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%202x%5Ccdot%5Cleft%28%5Csqrt%7B2%7D%2B2%5Cright%29%20%5C%5C~%5C%5Cp%28x%29%3D%202%5Csqrt%7B2%7Dx%2B4x)
D. P(x) = 2x √2 + 4x