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Nat2105 [25]
2 years ago
14

Chad jogs 4 2/5 miles in 1/2 hour. What is his average speed in miles per hour?

Mathematics
1 answer:
pentagon [3]2 years ago
7 0
Chad jogs 8 4/5 miles per hour.
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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
In a survey, 2 out of 8 students named math as their favorite subject. Express the rate as a decimal and as a percent.
SVETLANKA909090 [29]

Answer: 0.25 and 25%


Step-by-step explanation:

2/8 is equal to 1/4. 1/4 is the same as 0.25. Move decimal point two spots to the right and BOOM you get 25%.

8 0
3 years ago
Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on a rand
vovikov84 [41]

Answer:

5 but its probaly not right bc im just looking for pointsStep-by-step explanation:

3 0
3 years ago
In a salad recipe, the ratio of carrots to cucumbers must remain constant. The table below shows some possible combinations of c
skelet666 [1.2K]
I think the answer is B
4 0
3 years ago
BRAINLIEST AND HIGH POINTS :D
castortr0y [4]

Answer:

A) (2x+15)=65=180°

Step-by-step explanation:

Hey there!

It's a straight line, which means that the sum will be 180°.

So, (2x+15)=65=180°

~

Hope this helps!

6 0
2 years ago
Read 2 more answers
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