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FrozenT [24]
2 years ago
7

Problem:

Mathematics
1 answer:
zheka24 [161]2 years ago
6 0

Answer/Step-by-step explanation:

Call Monday's price, P

Tuesday's price must just be .80P   [ 20% reduction]

Call Wednesday's price reduction ( 1 - R)

So...we have that

Tuesday's price  *  Wednesday's reduction  = (1/2)P

(.80)P  *( 1 - R)  = (1/2)P    divide through by  P  and note that 1/2  = .50

.80 (1 - R)  = .50        divide both sides by .80

1 - R  =  .50/.80

1 - R  = 5/8

1 - 5/8 = R

3/8   = R = .375  = 37.5%  = the reduction from Tues. to Wed.

Proof of this...let Monday's price  = 100

Tuesdays price  = .80 * 100   = 80

Wed price  = 80 (1 - R)  = 80 (1 - .375)  = 50 =  half of  Mon. price

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A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright
pentagon [3]

Answer:

2.12 ft above ground level

Step-by-step explanation:

Volume of the cylindrical tank is 36*π

Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet

With the above information we can calculate the radius of the base of the cylinder, according to

V  =  36*π  = π*r²*h     ⇒  36 = r²*h     ⇒   36/8 = r²    ⇒  r = 2.12 ft

Then the radius of the base is  2.12 ft

When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity

7 0
4 years ago
Read 2 more answers
What is the value of x in the figure below?
Mrac [35]

Answer:

x = 125°

Step-by-step explanation:

180° - 55° = 125°

125°

If my answer is incorrect, pls correct me!

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4 0
3 years ago
Determine which of the lines, if any, are parallel. Explain.
MariettaO [177]

Answer:

Parallel lines have same slope but different y-intercept

None of the given equations have same slope. Therefore lines are not parallel.

Step-by-step explanation:

Slope of Line a: 4y +x=8 is -1/4

Slope of Line b: 2y + x = 4 is -1/2

Slope of Line c: 2y = -3x + 6 is -3/2

3 0
3 years ago
Please help with these 3 questions
Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22                   11*3=33

22+5 = 27                33-6= 27

4 0
2 years ago
The area of a square bedroom is 144 square feet. what is the length of one wall?
Rufina [12.5K]
The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  →   s = 12 ft.
_______________________________
The answer is:  12 ft.
_______________________________
6 0
3 years ago
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