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pogonyaev
3 years ago
9

On a field trip, there are 3 adults for every 45 students. Which graph models a relationship

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

H (the second graph)

Step-by-step explanation:

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Is 10 a factor, multiple, or neither of 20?
goblinko [34]
10 is a factor of 20
5 0
3 years ago
A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b
mixer [17]

Answer:

  $4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

  (5/4x)(x²) = 640 ft³

  x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

  x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

  64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

  c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

  c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

__

Algebraically, you can set the derivative to zero to find the value of x.

  dc/dx = 0 = 50x -25600/x²

  512 = x³ . . . . multiply by x²/50 and add 512

  8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

8 0
3 years ago
What is the image of this figure after this sequence of dilations?
frutty [35]

Answer:

Gshafaufqyffqyfwuauwuwuwuwiwiqiqiyehsi

3 0
2 years ago
Find the sum: -11 + (-8)
Kipish [7]

Answer:

-19

Step-by-step explanation:

-11+(-8)

-11-8

-19

hole this is correct

3 0
2 years ago
Need help :///////:::::/:/:/:/:::/://:::///:://:;://::::
xz_007 [3.2K]

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

73°

Step-by-step explanation:

3 0
3 years ago
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