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2 years ago

You have 20 bucks in your pocket.

Mathematics

1 answer:

diamong [38]2 years ago

5 0

Answer:

the answer would be $45.55

Step-by-step explanation:

20$ + $50.00 = $70

$70 - $6.95 = $64.5

$64.5 - $9.95 = $54.55

$54.55 - $20 = $34.55

$34.55 + $15 = $49.55

$49.55 - $4 = $45.55

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A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,

Romashka-Z-Leto [24]

Answer:

radius x = 3 ft

height h = 23,8 ft

Step-by-step explanation:

From problem statement

V(t) = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c) = π*x²*h area of cylinder = area of base + lateral area

A(c) = π*x² + 2*π*x*h

V(h) = (2/3)*π*x³ area of hemisphere A(h) = (2/3)*π*x²

A(t) = π*x² + 2*π*x*h + (2/3)*π*x²

Now A as fuction of x

total volume 505 = π*x²*h + (2/3)*π*x³

h = [505 - (2/3)* π*x³ ] /2* π*x

Now we have the expression for A as function of x

A(x) = 3π*x² + 2π*x*h A(x) = 3π*x² + 505 - (2/3)π*x³

Taking derivatives both sides

A´(x) = 6πx - 2πx² A´(x) = 0 6x - 2x² = 0

x₁ = 0 we dismiss

6 - 2x = 0

x = 3 and h = [505 - (2/3)* π*x³]/2* π*x

h = (505 - 18.84) / 6.28*3

h = 23,8 ft

7 0

2 years ago

Find the points of intersection of the following function graphs: y=20x−70 and y=70x+30

LekaFEV [45]

Answer:

(-2,-110)

Step-by-step explanation:

First solve for x

20x−70=70x+30

x= -2

Now substitute x for -2

y=20x−70

y=20(-2)-70

y = -110

4 0

2 years ago

4th term of an arithmetic sequence is 23 and its 11th term is 65, what is its common difference

Rudik [331]

Answer:

d = 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 23 and a₁₁ = 65 , then

a₁ + 3d = 23 → (1)

a₁ + 10d = 65 → (2)

Subtract (1) from (2) term by term to eliminate a₁

10d - 3d = 65 - 23

7d = 42 ( divide both sides by 7 )

d = 6

5 0

2 years ago

Determine whether the proportion is true or false 15/33 equals 22 / 46

Juliette [100K]

Answer:

False

Step-by-step explanation:

It could be solved using the proportion method i.e multiply 15 by 46 and 33 by 22. Since the answer is not equal, it's false.

6 0

2 years ago

Read 2 more answers

Maria mixes 1/4 cup white sugar and 2/3 cup brown sugar to make a topping for some muffins. She uses 1/12 cup of the mixture to

lorasvet [3.4K]

Start by changing the white and brown sugar to where u can add it.

(1*3)/(4*3) =3/12

(2*4)/(3*4)=8/12

Add those

11/12 so she can top 11

8 0

2 years ago