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3 years ago

Mr Smith had four daughters.Each daughter has four brothers.How many children does Mr Smith have

Mathematics

2 answers:

Volgvan3 years ago

3 0

<h3>Mr. Smith has 20 children. </h3><h3 />

Starting off, you already know he has 4 daughters and for every daughter there are 4 sons.

So, we take the 4 daughters and add 4 to each one:

1 daughter + 4 sons = 5 children

We complete that equation 4 times for each daughter, and we end up with 20 children as our answer.

Hope this helps you out a bit! Stay safe and stay healthy! :D

Alinara [238K]3 years ago

3 0

I think it’s 8 but I might be wrong

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

Find the vertex and axis of symmetry for f(x)=2x^2-1

vfiekz [6]

<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>

<em><u>Solution:</u></em>

<em><u>Given is:</u></em>

$f(x) = 2x^2 - 1$

We have to find the vertex and axis of symmetry

<em><u>The general equation is given as:</u></em>

$f(x) = ax^2 + bx + c$

Comparing with given equation,

a = 2

b = 0

c = -1

<em><u>The axis of symmetry is given as:</u></em>

$x = \frac{-b}{2a}$

$x = \frac{0}{2(2)}\\\\x = 0$

Thus axis of symmetry is 0

The x coordinate of the vertex is the same

x coordinate of the vertex = 0

h = 0

The y coordinate of the vertex is:

k = f(h)

k = f(0)

$f(0) = 2(0) - 1\\\\f(0) = 0 - 1\\\\f(0) = -1$

Thus, y coordinate of the vertex is -1

Therefore, vertex is (0, -1)

3 0

3 years ago

Jess owns 4 red shirts, 5 blue shirts, and 3 white shirts. She chooses a shirt to wear at random. What is the probability that s

Gelneren [198K]

3 out of 12 she will choose white

5 0

4 years ago

Read 2 more answers

The function G(x)=-x+5 is compressed horizontally to form F(x). Which of the following could be the equation of F(x)?

Y_Kistochka [10]

The horizontal compression of a graph means that the graph has come closer to the y-axis. Horizontal stretching and compression occur when a factor is multiplied to the original equation. If the factor being multiplied is greater than 1, then the graph is compressed. If the factor being multiplied is less than 1, the graph is stretched. Therefore, in this case, a number greater than 1 must be multiplied to -x + 5.
The answer is B. F(x) = -2(x-5)

3 0

3 years ago

A rectangle has a side length of two and seven eighths feet and a side width of 5 feet. What is the area of the rectangle?

Elza [17]

Answer:

14 3/8 ft^2

Step-by-step explanation:

Area = length * width

= 2 7/8 * 5

= 23/8 * 5

= 115/8

= 14 3/8 ft^2.

6 0

2 years ago