Your job is to figure out how to make a "silver mile". Here in the United States we could do this with nickels, dimes, quarters, half-dollars, or silver dollars. I found on the United States Mint website that the Susan B. Anthony silver dollar was 1.04 inches in diameter. Making a mile using just this coin would be an easy calculation. We need a more interesting challenge. We are going to create a silver mile following a specific set of rules. You may need to cover a little more than the required distance since you cannot use fractional parts of the coins. Here are the rules:
1) Lay down enough Susan B. Anthony silver dollars to cover half of the mile.

2) Cover one-third of the remaining distance with half-dollars.

3) Use quarters to cover one-fourth of the remaining distance.

4) With dimes, cover one-fifth of the remaining distance,

5) Fill in the remaining distance with nickels.

What is the total value of the coins in this mile?

Please support this by showing evidence. Thanks a lot :)​

Answers

Answer 1

The total value of coins to create a silver mile following the specific rules stated is $38,114.18

Distance left:

63360 - 31650.48 = 31679.52 inches

A third of the distance is missing: 10559.84 inches

Diameter of the half-dollar: 1.205 in

This means 10,559.84 inches/ 1.205 in = 8763.35 rounded to 8764

Total distance coverd 8,764 x 1.205 in = 10560.61

Total distance left: 31679.52 - 10560.61 = 21118,91 / 4 = 5279.72

Diameter of quarters: 0.750 inches

This means 5279.72 / 0.750 =7039.62 rounded to 7040

7040 x 0.750 = 5280

Total distance left = 21118,91 -  5280 = 15,838.91 / 5 = 3167.782

Diameter of dimes: 0.705

This means 3167.82 / 0.705 = 4493.36 rounded to 4494

0.705 x 4494 = 3168.27

Total distance left = 15,838.91 - 3168.27 = 12670.64

Diameter of the nickel: 0.835

This means 12670.64/ 0.835 = 15174.41 rounded to 15175

How much money was used?

For this change the coins to dollars:

Susan B. Antony Silver dollars: 30462 = $30462

Half-dollars: 8764 = $4382

Quarters: 7040 = $1760

Dimes: 4494 = $561.75

Nickels: 15175 = $948.43

Total: $38114,18

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Related Questions

Find the ratio of 900m to 9km.

Answers

To find the ratio, you need to convert one unit to the other.

For example:
9km=9000m

Therefore:
900/9000 = 1/10

HELP ASAP I'm putting a lot of points and I'll give you brainiest
Which function has a constant additive rate of change of –1/4?

A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).

A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).

A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5.

A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.

Answers

Answer:

The first coordinate plane has a constant additive rate of change of -1/4

Step-by-step explanation:

Additive rate of change is determined using the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a constant rate of change; it must be the same throughout all of the coordinates.

The first coordinate plane with (-2, 2) and (2, 1) is

[tex]m=\frac{1-2}{2-(-2)} =-0.25[/tex]

so this is the answer. I encourage you to look below to see why the others are not the answer, as there are some tips throughout the rest of my response.

The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.

The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.

The last table has a positive slope of 3.3, so this does not fit what we want from an answer.

Hope this helps :)

Answer:

A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).

ax^2+bx+c=0 the root of the equation are 2 and 1/2

Answers

Answer:

[tex]x = 2 \: or \: x = \frac{1}{2} \\ (x - 2)(2x - 1) = 0 \\ {2x}^{2} - x - 4x + 2 \\ {2x}^{2} - 5x + 2[/tex]

Step-by-step explanation:

hope it helps you<3

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

can someone answer part B please!

Answers

Here the equation is

P(t)=0.03t+3.26

Compare to slope intercept form

y=mx+b

We get

m=0.03=Slope

As its rate of change so it must be price of milk change

Which of the following is equivalent to cos 32°?  

a cos 58°  
b cos 68°  
c sin 32°  
d sin 58°​

Answers

Answer: Choice D

Step-by-step explanation:

cos(32) = 0.8480480962

cos(58) = 0.5299192642

cos(68) = 0.3746065934

sin(32) = 0.5299192642

sin(58) = 0.8480480962

Cos(58) = sin(32)

Cos(32) = sin(58)

Please help - Timed.

Answers

Answer: you seem to be on the right answer

Step-by-step explanation:

(-1,-1)

Answer:

I think that you are correct! I believe the answer is (-1, -1)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

I think of a number.
If I subtract 10 from my number, then square the result,
I get the same answer as
if I square my number, then subtract 10 from the result.
What is my number?
You must show an algebraic method (use letter x in your working).
+
Answer:

Answers

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

The number would be equal to x =5.5

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The directions say to use x for the number means x - 10

"then square the result" means (x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number" means x^2

"then subtract 10 from the result" means x^2 - 10

therefore,

(x - 10)^2 = x^2 -10

Now Multiply on the left side.

x^2-20x+100 =x^2-10

Then subtract x^2 from both sides.

-20x + 100 = -10

-20x = -110

x = 11/2 or 5.5

More about the Algebra link is given below.

brainly.com/question/953809

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A right triangle has legs of length 121 cm and 134 cm.
What is the length of the hypotenuse of the right triangle?
Enter the answer, rounded to the nearest tenth, in the box.
cm

Answers

Answer:

c = 177.8

Step-by-step explanation:

121² + 134² = c²

13641 + 17956 = c²

31597 = c²

[tex] c \: = \sqrt{31579} [/tex]

There are 5 pencil-cases on the desk. Each pencil-case
contains at least 10 pencils, but not more than 14 pencils.
Which of the following could be the total number of pencils in
all 5 cases?

Answers

Answer:

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

Step-by-step explanation:

Minimum number of pencils: 5 × 10 = 50

Maximum number of pencils: 5 × 14 = 70

The number of pencils ranges from 50 to 70. All integers 50, 70 and in between 50 and 70 are possible.

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

help fast 55 points please hurry

Answers

Answer:

B

Step-by-step explanation:

There are 220 pages in carly's novel. At 4 hours, there is 80 pages left, but monica has 120

angle c and angle d are supplementary angles.if the measure of angle d is 80 degress,what is the measure of angle c

Answers

Answer:

C = 100

Step-by-step explanation:

Supplementary angles equal 180 degrees

180 - 80 = 100

Answer:

m∠C = 100°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. We are given m∠D as 80°.

This means that c + 80 = 180

Step 1: Subtract 80 from both sides.

[tex]c+80-80=180-80[/tex] [tex]c=100[/tex]

Therefore, the answer is 100°.

what is the volume of a right circular cylinder with a base diameter of 20 cm and a height of 5 cm? express your answer using pie

Answers

Answer:

1570.8 cm3

Step-by-step explanation:

20 / 2 = 10

10 * 10 * pi  = 314.16

314.16 * 5 = 1570.8 cm3

URGENT needs steps on how to solve this problem

Find the first 3 iterations of g(x)=3x if you have an initial value of 2. Fill in the table below with your answers.

g(2)
G^2(2)
g^3(2)

Answers

Let's see

[tex]\\ \rm\longmapsto g(2)=3(2)=6[/tex]

(2,6)

[tex]\\ \rm\longmapsto g^2(2)=6^2=36[/tex]

(2,36)

[tex]\\ \rm\longmapsto g^3(2)=6^3=216[/tex]

(2,216)

Please help, will mark brainliest :)

Find the rate of change of the function.

f(x)= -4/7x + 2/9

Answers

Answer:

-4 is rate

7 is change

Step-by-step explanation:

Take what x is multiplying and that is your rate and change.

Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does g(x)=f(2)?​

Answers

Answer:

x = 4

Step-by-step explanation:

To see when g(x) = f(2)

First, find f(2)

f(2) = 3(2) - 1 = 5

Now g(x) = 2x-3  = f(2) = 5

2x - 3 = 5

Adding 3 to both sides

2x = 8

Dividing 2 on both sides

x = 4

One leg of a 45°-45°-90° triangle measures 15/2 inches What is the length of the hypotenuse?

Answers

Answer: 7.5sqrt(2)

Step-by-step explanation:

1071 is to be devided among 6 people equally how much in dollars is left over after each person receives there share

Answers

1071/6 =178.5
Each person received 178
Amount left after equal share
= 1071 - (178 x 6)
= 1071 - 1068
= 3

Hence 3 dollars is left over

A realtor has been told that​ 43% of homeowners in a city prefer to have a finished basement. She surveys a group of 300 homeowners randomly chosen from her client list. Describe the sampling distribution model of the proportion of homeowners in this sample who prefer a finished basement. Round to the nearest tenth

Answers

The sample who prefer a finished basement is 126 homeowners

Percentages and ratios

Given the following parameters

The total number of people surveyed = 300 homeowners

If a realtor has been told that​ 43% of homeowners in a city prefer to have a finished basement, the sample of owners that prefer a finished basement is expressed as:

Sample of owners = 43% of 300

Sample of owners = 0.43 * 300
Sample of owners = 126

Hence the sample who prefer a finished basement is 126 homeowners

Learn more on sample distribution here: https://brainly.com/question/15713806

Find the area of a circle with radius,
r
= 6.16m.
Give your answer rounded to 2 DP.

Answers

Answer ≈ 119.21m

Step-by-step explanation: Plugging the radius into the equation for the area of a circle equals 119.209618 which rounds to 119.21.

(π) ([tex]6.16^{2}[/tex]) = 119.209618

Please please please please help me please

Answers

Answer:

ANSWER (D.

ABC Similar To DEF

ABC DEF

-

Really need help on this graph

Answers

Answer:

The equation on the graph is: y = -(x+1)(x-6)

Which of the following is NOT a variation of a Pythagorean identity?​

Answers

The expression that is not a variation of the Pythagorean identity is the third option.

What is the Pythagorean identity?

The Pythagorean identity can be written as:

[tex]sin^2(x) + cos^2(x) = 1[/tex]

For example, if we subtract cos^2(x) on both sides we get the second option:

[tex]sin^2(x) = 1 - cos^2(x)[/tex]

Which is a variation.

Now, let's divide both sides by cos^2(x).

[tex]sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1[/tex]

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

If you want to learn more about the Pythagorean identity, you can read:

https://brainly.com/question/24287773

The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.

Answers

Answer:

The next term in the sequence can be found by adding 15 to the previous term in the sequence.

Therefore, the next term = 45 + 15 = 60

This is a arithmetic sequence having common difference d=15

If you want next term add 15to the previous one

Like

0+15=1515+15=30

Next term is

45+15=60

A right triangle has legs that are 10.1 inches and 12.2 inches long. what is the approximate length of the hypotenuse? 6.8 inches 15.8 inches 22.3 inches 125.5 inches

Answers

Answer:

about 15.8 inches

Step-by-step explanation:

Use the equation [tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the leg lengths and "c" is the hypotenuse.

The solution is, 15.8 inches is the approximate length of the hypotenuse.

here, we have,

given that,

A right triangle has legs that are 10.1 inches and 12.2 inches long.

We only need to apply Pythagoras theorem to solve this problem.

Pythagoras theorem state that in a right-angle triangle,

opposite² + adjacent²  = hypotenuse²

From the question, the length of the leg = 10.1 inches

one of the leg, lets say adjacent = 12.2 inches

Let x be the hypotenuse of the other leg.

We can now proceed to insert our values into the formula;

opposite² + adjacent²  = hypotenuse²

        10.1²    +      12.2²           = x²

so, we get,

x²  = 10.1² + 12.2²  

x²  = 102.01 + 148.84

x²   =  250.85

Take the square root of both-side to get the value of x

√x²   =  √250.85

x = 15.83

x≈15.8

Therefore the approximate length of the other leg is 15.8 inches.

To learn more on  hypotenuse click:

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#SPJ7

Help, I'm confused.
I need this done for because it is my last question.

Answers

Answer:

1/6 chance of it landing on a four.

Step-by-step explanation:  Bro trust me

An executive hires 3 office workers from 5 applicants.

How many ways can the selection be made ?

Answers

Answer:

c(5,3)

5×4×3=60

60÷3!=10

the selection can be made in 10 ways

Evaluate the expression for x = 3, y = 1/3 , and z = 5.

12x − 3y / 4x − z​

Answers

Step-by-step explanation:

Substitute the given values into the expression;

[tex]12(3) - 3( \frac{1}{3} ) \div 4(3) - 5[/tex]

Multiply;

[tex]36 - 1 \div 12 - 5[/tex]

Solve Using PEMDAS;

[tex]36 - \frac{1}{12} - 5[/tex]

[tex]35 \frac{11}{12} - 5[/tex]

[tex]\boxed{30 \frac{11}{12} } [/tex]

factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)​

Answers

Answer:

i think its 21/x-4

Step-by-step explanation:

sorry if im wrong

Which of the following inequalities can be used to represent a number x that is greater than -5 and less than 3? ​

Answers

Answer:

-5<x<3

Step-by-step explanation:

I don’t get this I need help

Answers

Area of square = side*side.
First we have to find the side.
To find the side use Pythagoras formula
Side^2 = 7^2+3^2
= 49+9
=58
Area of square = 58 square units

Answer:

49 square units.

Step-by-step explanation:

to calculate the area of a square multiply the width of the square by the length. Example: 7×7= 49 square units, cm, inches, exe...

PS: if this is correct pls mark me brainly thanks :)

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