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sergey [27]
3 years ago
5

1. Suppose that out of 3030 gift cards in a

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

1. If the 3030 is supposed to be 30, and 77 is supposed to be 7, your answer would be 7/30.

2. 25%

3. 13

Step-by-step explanation:

:)

You might be interested in
A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write do
saw5 [17]

Answer:

a.  71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b.  23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

Step-by-step explanation:

.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from  y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

.(b) Write down an integral for the fluid force on the side of the tank

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So.  F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy    since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

.(c) How would your answer to part (a) change if the tank was on its side

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh  where r = radius of tank, d = diameter of tank = 12 ft. and h =  height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

7 0
3 years ago
Adult tickets to an amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult and 1 chi
Alex787 [66]

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Step-by-step explanation:

Given,

Cost of each adult ticket = x dollars

Cost of 3 adult ticket = 3x

Cost of 2 adult ticket = 2x

Cost of each child ticket = y dollar

Cost of 3 child ticket = 3x

Henson's cost;

3 adult tickets + 1 child ticket = $203

3x+y=203

Garcia's cost;

2 adult tickets + 3 child tickets = $189

2x+3y=189

Henson's cost: 3x+y=203

Garcia's cost: 2x+3y=189

Keywords: linear equation, addition

Learn more about addition at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

7 0
3 years ago
3/4 ÷ 7/8 = ?????<br><br> (Math fraction)
kogti [31]
3/4 ÷ 7/8 =

6/7 is the answer to your question.
8 0
3 years ago
Read 2 more answers
I will Give brainliest to who ever can show me how to solve this killer!!!!!!! Using Descartes Rule and the rational zeros of po
Angelina_Jolie [31]

see if other people has already answered this question

7 0
3 years ago
Read 2 more answers
Sheila is flying a kite with 250 feet of her string let out. The angle the kite line makes with a line parallel to the ground is
Alisiya [41]

h = 5 + 250 · sin 45°
h = 5 + 250 · √2 / 2
h = 5 + 250 · 0.7071 = 5 + 176.77 = 181.77 ≈ 182 ft
 The altitude is 183 ft.
3 0
3 years ago
Read 2 more answers
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