Hey, Melany. To answer this problem, simply set up a proportion: 
. Now let's solve for x.
- Cross multiply:
- Isolate x:
This means that x = 24.
There are 24 9th graders in the band.
Answer:
the dimension that will minimize cost are radius of 2.79 inch and height of cylinder of 1.40 inch.
Step-by-step explanation:
volume of a circular cylinder = πr²h
volume of 19 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches) = 19* 1.80469 =34.28911 in³
The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side, means
surface area of top + bottom = surface area of side
area of circle(top + bottom) = πr²+πr² = 2πr²
area of the side = 2πrh
the cost of top and bottom = twice the cost of side
2πr² = 2( 2πrh) = 4πrh
divide both side by 2πr
r= 4πrh/ 2πr =2h
r = 2h
for volume = πr²h = 34.28911 in³
and r = 2h
π(2h)²h =34.28911 in³
4πh³ = 34.28911 in³
h³ = 34.28911 /(4*3.142) = 2.7283 in³
h = cube root of 2.7283 in³ = 1.397 inch
r = 2* 1.76 = 2.794 inch
the dimension that will minimize cost are radius of 2.79 inch and height of cylinder of 1.40 inch.
Answer:
j=12
Step-by-step explanation:
Question: <u>j/4-10/3=-1/3</u>
1) Add 10/3 to both sides:
j/4=3
2) Multiply both sides by 4:
j=12
Given:
a square with an area of a² is enlarged to a square with an area of 25a².
The side length of the smaller square was changed when The side length was multiplied by 5.
Area = (1a)² = a²
Area = 1a * 5 = 5a ⇒ (5a)² = 25a²
