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timurjin [86]
3 years ago
14

It was wartime when the Ricardos found out Mrs. Ricardo was pregnant. Ricky Ricardo was drafted and made out a? will, deciding t

hat ?$294,000 in a savings account was to be divided between his wife and his? child-to-be. Ricky stipulated that if the child were a? boy, he would get four times the amount of the? mother's portion. If it were a? girl, the mother would get four times the amount the girl was to receive. Ricky did not return from war. Mrs. Ricardo gave birth to twins -boy and a girl. How was the money? divided?
Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:The girl will get $2,000, the mother $4,000 and the boy $8,000

Step-by-step explanation:

f the amount the girl gets = x

The mother gets twice as much as the girl = 2x

And the boy get twice as much as the mother = 4x


Overall

x + 2x + 4x = $14,000

7x = $14,000

Divide both sides by 7 so

x=$2,000

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The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm
mina [271]

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

In this question:

We have to derivate V and r implicitly in function of time, so:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that \frac{dr}{dt} = 3

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so r = 30. We have to find \frac{dV}{dt}. So

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

5 0
3 years ago
A bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?
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I don’t think it’s right, but I got $0.02
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2 years ago
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Determine the number of times the graphs of f(x)=2x^3-4x+1 and g(x)=3x-2 intersect for x between -5 and 5
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In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H
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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
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