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3 years ago

Tom's red bicycle travels 50 ft for every 2 pedal turns. How many pedal turns are needed to travel a mile?

Mathematics

1 answer:

postnew [5]3 years ago

5 0

Answer:

211.2 pedal turns

Step-by-step explanation:

50/2 = 25 feet every pedal turn

5280 feet in a mile

5280/25 = 211.2

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

A partir del resultado obtenido ;con

Ymorist [56]

Answer:

I don't understand what your asking here.

Your translation: From the result obtained; with

Step-by-step explanation:

8 0

3 years ago

Kate has 25 skirts, out of which 10 are white. if Kate randomly selects a skirt to wear, what is the probability it will be whit

ivanzaharov [21]

Answer:

10/25 or in percentage it is 40%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HEO asap 8th grade math

Ierofanga [76]

a distinct section of a piece of writing, usually dealing with a single theme and indicated by a new line, indentation, or numbering.

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3 years ago

Read 2 more answers

Casey is six times as old as Ralph. In two years, she will be four times as old as Ralph. How old is each of them now?

lisov135 [29]

Ralph is 3 years old

Casey is 18 years old

Step-by-step explanation:

Let the age of Ralph be x

Then Casey is 6 times as old as Ralph will be 6x

In two years

Ralph =x+2

Casey=6x+2 ⇒ 4(x+2)

Equate the two equations for Casey as

6x+2 = 4x+8

6x-4x=8-2

2x=6

x=6/2= 3

Current age;

Ralph= x= 3 years old

Casey=6x = 6*3= 18 years

Learn More

Forming expressions and solving equations;brainly.com/question/1280754

Keywords :six, times, years

#LearnwithBrainly

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3 years ago