Ricky Major
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Fred is planning a fundraiser where he will collect $4.50 for every mile he runs. He will be running on a typical track, that has two straight lengths of 300 feet each, and two curved parts that are in the shape of semicircles with 200 foot diameters

He runs around the track exactly 15 times. To the nearest cent, how much money did he collect?

Answers

Answer 1

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5


Related Questions

A sofa is on sale for $513, which is 24% less than the regular price.
What is the regular price?

Answers

Answer:

$675

Step-by-step explanation:

If it is 24% less than the regular price then it is 76% of the original price

$675 multiplied by 0.76 is $513

Given that BD is both the median and altitude of ABC, congruence postulate
SAS is used to prove that ABC is what type of triangle?

Answers

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

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find the standard form of 23000000

Answers

Answer:

[tex] = 2.3 \times {10}^{7} \\ [/tex]

Step-by-step explanation:

[tex]23000000 \\ = 2.3 \times {10}^{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

help me please its due at 11

Answers

i think the answer might be 2948m^3

What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x+3y- 5 = 0
-2 x+3y- 5 = 0
2x-3y-5=0

Answers

Answer:

Step-by-step explanation:

(3 + 1)/(-2 - 4) = 4/-6 = -2/3

y + 1 = -2/3(x -4)

y + 1 = -2/3x + 8/3

y + 3/3 = -2/3x + 8/3

y = -2/3x + 5/3

2x + 3y - 5 = 0 is the standard form

The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, A line is passing through points (4, -1) and (-2, 3)

We know that, the equation of a line passing through two points is given by, (y-y₁) = (y₂-y₁)/(x₂-x₁)(x-x₁)

y+1 = (3+1)/(-2-4)(x-4)

y+1 = -2/3(x-4)

3y+3 = -2x+8

2x+3y-5 = 0

Hence, The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0

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what is the measure of the missing angle?

Answers

Answer:

82 degrees

Step-by-step explanation:

sum of the angles of the triangle = 180 °

first angle is 41°

second one is : 180-123 = 57°

then the measure of the missing angle(x)  is : 57+41 +x = 180

x= 180-98 = 82°

Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder need to be set?

Answers

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

In this question, we are to calculate the angle to which a ladder is to be set to get to a window.

Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.

Please check attachment for picture of triangle

Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.

Sine of an angle = length of opposite/length of hypotenuse

Sine angle = 8/10

since angle = 8/10

angle = arc sin 0.8

angle = 53.13 degrees

What’s the simplest terms for this

Answers

Answer:

2/3

Step-by-step explanation:

2/9+4/9

The denominator is the same, so we add

6/9

Divide the top and bottom by 3

2/3

6/9simplified = 2/3 or ≅ 0.6666667

Please help me :(!!!!!!

Answers

Answer:

A =101.956 cm^2

Step-by-step explanation:

The area of the parallelogram is given by

A = bh

A = 14.2 * 7.18

A =101.956 cm^2

Answer:

101.956

Step-by-step explanation:

Area equals bh

7.18(14.2)

do all cells come for preexisting bones

Answers

The generally accepted parts of modern cell theory include: All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.

hope it helps!!!! :]

Find the perimeter and the area of the composite shape..

Answers

Answer:

I think that it is 39.2 but i'm not 100% sure

Step-by-step explanation:

Hope this helps!

PLEASE HELP ME WITH THIS

Answers

Answer: The correct answer is C

Here is a map of a town.
The map shows a centimetre ruler.
1 cm represents 3 km.
What is the real-life distance between the park and the museum?

Answers

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

[tex]1cm = 3km[/tex]

[tex]4cm = 3km \times 4[/tex]

[tex]4cm = 12km[/tex]

Hence, the real-life distance between the park and the museum is [tex]12km[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Here is a map of a town.The map shows a centimetre ruler [tex]1[/tex] cm represents [tex]3[/tex] km.

In a map it is mentioned that [tex]1[/tex]cm which represents the [tex]3[/tex] km. So, the distance between park and museum is

[tex]1+3=4[/tex]cm

So for the real-life distance, we multiply by [tex]4[/tex]

then,

[tex]1cm=3km\\\\4cm=3(4)km\\\\4cm=12km[/tex]

Hence, the real-life distance between the park and the museum is [tex]12km[/tex].

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by a factor of 0.5
1
1.5
or 2

Answers

Answer:

it is a horizontal stretch by 2.

Step-by-step explanation:

AB=3-1=2

A'B'=6-2=4

[tex]\frac{A'B'}{AB} =\frac{4}{2} =2\\A'B'=2(AB)[/tex]

Simplify:
12 + (-38) + 27

Answers

Answer:

1

Step-by-step explanation:

For this problem, the negative sign on the 38 stays.  You can remove the parentheses and addition sign and subtract 38 from 12.

12 + (-38) + 27

12 - 38 + 27

-26 + 27

1

If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).

Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

What is BODAMAS?

The full form of BODAMAS is" bracket, orders, divisions, multiplication, addition, subtraction. Any calculation follows the order of BODAMAS rule".

According to the question,

12 + (-38) + 27

= 12 - 38 + 27           [Removing the Parentheses]

= 26.

Hence, Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

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Solve.
(4v-9) (1 + v) = 0
(If there is more than one solution, separate them with commas.)
v =

Answers

Answer:

v = -1

Step-by-step explanation:

First, you will need to solve it step-by-step:

(4v − 9)(1 + v) = 0

Next, you need to simplify both sides of the equation:

4v(2) − 5v − 9 = 0

Now, factor the left side of equation:

(4v − 9)(v + 1) = 0

The last thing you need to do is to set all of the factors to equal to zero:

4v − 9 = 0 or v + 1 = 0

So, that means that you answer:

v=9/4 or in your case, v = −1

find the value of the following number to the nearest Whole number √285​

Answers

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]\sqrt{285}[/tex]

[tex]=16.8819430161[/tex]

You can use the tree method to figure out the square root of something if you are not using a calculator.
The answer is= 16.88 which is 17

definition of sas triangle

Answers

Answer:

SAS (side, angle, side)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Please help! Correct answer only, please! I need to finish this assignment this week. ;; Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay? In terms of simple interest.

Answers

Answer: $3.20

Step-by-step explanation:

SI = p *r * t

= 5.93 * 0.06 * 9

= 3.20

Answer:

$3.20

Step-by-step explanation:

Using Simple Interest = (principal) * (rate) * (time), we get:

= 5.93 * 0.06 * 9

= $3.20

Hope this helps!

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1/2 hour . How many baskets can Nikki make in 5 hours

Answers

Answer:

40

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

The time is now 5 hours (t = 5). Therefore:

n = 8 * 5 = 40 baskets

She can make 40 baskets in 5 hours.

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has pmf. Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

Answers

Complete Question:

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).

Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

NOTE: The pmf is shown in the file attached

Answer:

Expected number of batches, E(X) = 2.0 batches

Variance of batches, V(X) = 0.8 batches²

Expected number of pounds left, E(Y) = 90 lb

Variance of pounds left, V(Y) = 20 lb²

Step-by-step explanation:

The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X

The expected value of X, E(X) can be calculated using the formula:

[tex]E(X) = \sum x p(x)[/tex]

E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)

E(X) = 0.3 + 1 + 0.3 + 0.4

E(X) = 2.0

Expected number of batches, E(X) = 2.0 batches

The variance of X, V(X) can be calculated using the formula:

[tex]V(X) = E(X^2) - [E(X)]^2\\ E(X^2) = \sum x^2 p(x)\\ E(X^2) = (1^2 *0.3) + (2^2 * 0.5) + (3^2 * 0.1) + (4^2 * 0.1)\\ E(X^2) = 0.3 + 2 + 0.9 + 1.6\\ E(X^2) = 4.8\\V(X) = 4.8 - 2^2\\V(X) = 0.8[/tex]

Variance of batches, V(X) = 0.8 batches²

Y = 100 - 5X

E(Y) = E(100 - 5X)

E(Y) = 100 - 5E(X)

E(Y) = 100 - 5(2)

E(Y) = 90 lb

Expected number of pounds left, E(Y) = 90 lb

Variance of the number of pounds left:

V(Y) = V(100 - 5X)

V(Y) = V(100) + V(-5X)

V(100) = 0

V(Y) = (-5)² V(X)

V(Y) = 25 * 0.8

V(Y) = 20

Variance of pounds left, V(Y) = 20 lb²

The question is incomplete. Here is the complete question.

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.

 x      1         2        3       4

P(x)  0.3     0.5     0.1     0.1

Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

Answer: E(X) = 2

V(X) = 0.8

Expected number of pounds left = 90

Variance of the number of pounds left = 20

Step-by-step explanation: Since this is a probability distribution, to determine E(X), which is a measure of central tendency:

E(X) = ∑[x*P(x)]

E(X) = 1*0.3+2*0.5+3*0.1+4*0.1

E(X) = 2

V(X) is the variance for this type of distribution and is calculated as:

V(X) = ∑{[x - E(x)]²*P(x)} = (1-2)²*0.3+(2-2)²*0.5+(3-2)²*0.1+(4-2)²*0.1

V(X) = 0.8

The number of pounds left after the next costumer's order is shipped is given by the equation: Y = 100 - 5X

The expected number is equal to E(Y), which is this case is:

E(Y) = E(100 - 5X)

One property of E(X) is that if a and b are constants:

E(aX+b) = aE(X) + b

Taking that a = - 5 and b = 100:

E(100 - 5X) =  (-5).2 + 100

E(Y) = 90

The variance of the number of pounds left is given by:

V(Y) = V(100 - 5X)

For variance, the property is: if a and b are constants:

V(aX+b) = a²V(X)

V(100 - 5X) = (-5)²*0.8

V(Y) = 20

What is x +2/3 =2
And how do I get it please explain it like you would to a 4 year cause I’m stupid

Answers

Answer:

Step-by-step explanation:

x+2/3=2

multiply by 3

3x+2=6

3x=6-2

3x=4

x=4/3

if it is (x+2)/3=2

multiply by 3

x+2=6

x=6-2=4

Answer:

[tex]x=\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]x+\frac{2}{3}=2[/tex]

to find the value of x we subtract 2/3 on both sides

[tex]x+\frac{2}{3}-\frac{2}{3}=2-\frac{2}{3}[/tex]

taking LCM AS 3

[tex]x=\frac{2*3}{1*3}-\frac{2}{3}[/tex]

[tex]x=\frac{6}{3}-\frac{2}{3}[/tex]

[tex]x=\frac{4}{3}[/tex]

[tex]i hope this will help you:)[/tex]

whats is a thousode divided by 32

Answers

Answer:

31.25

Step-by-step explanation:

Answer:

31.25 is right.

Step-by-step explanation:

25x120 can someone help me please

Answers

Answer:

Your correct answer is 3,000

Step-by-step explanation:

                 25

             x 120

             -------------

                3,000

25 * 12 = 300

Now, you add an extra zero to get your answer.

Answer:

3000

Step-by-step explanation:

25 * 120

120

25

-------

600

240

3000

25 * 12 = 300

then add zero to end

3000

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

A, C

Step-by-step explanation:

10x+ 4y = -2

5x -2y = 2

We can multiply the first equation by 1/2

5x+2y = -1

And then add the equations to eliminate y

5x+2y = -1

5x -2y = 2

--------------------

10x +0y = 1

Adding the equations will not eliminate any variables

15x +2y =0

Multiply the bottom equation by 2 and then subtract

10x -4y = 4

10x+ 4y = -2

-10x +4y = -4

------------------

0x +8y = -6  will eliminate x

Answer:

Answer A, C

Step-by-step explanation:

When multiplying the bottom equation by two, you get 10x-4y=4

After subtracting 10x-4y=4 and the top equation you will be able to eliminate the variable x.

You can also also get the same result and eliminate a variable with answer A.

The density of oxygen is 0.001332 gram per cubic centimeter. Represent 0.001332 in
scientific notation.

Answers

Answer:

1.332 × 10-3

Step-by-step explanation:

you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)

PLEASE HELP!! WORTH 30 POINTS!! WILL GIVE BRAINLIEST TOO!

Answers

Answer:

x = 15/11

Step-by-step explanation:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

(x+3) *x = 2x*(6x-6)

Divide each side by x

x+3 = 2(6x-6)

Distribute

x+3 = 12x-12

Subtract x from each side

x+3-x = 12x-x-12

3  = 11x-12

Add 12 to each side

3+12 = 11x-12+12

15 = 11x

Divide each side by 11

15/11 =x

Answer:

15/11

Step-by-step explanation:

(x + 3) *x = 2x * (6x - 6)

x^2 + 3x = 12x^2 - 12x

x^2 - 12x^2 = - 12x - 3x

- 11x^2 = - 15x

11 x * x = 15 * x

Like terms cancel out

11x = 15

= 15/11

Hope this helps!

Which one of these shapes will tessellate?
Please leave the letter below

Answers

Answer:

Option D

Step-by-step explanation:

Out of all given options, Option D (the parallelogram) will tessellate the easiest.

Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.

Option A and Option C's shape wouldn't tessellate because it would leave a gap.  To add, Option C's shape is nearly impossible to tessellate.

Answer: B, C, D

step by step explaniation

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?

(–4, 1)
(1, –2 )
(2, 0)
(4, 4)

Answers

Answer:

(–4, 1)  

Step-by-step explanation:

1. Calculate the slope of AB

m₁ = (y₂ - y₁)/(x₂ - x₁) = (-4 - 4)/(0 -(-2))= -8/2 = -4

2. Calculate the slope of the perpendicular line

m₂ = -m₁ = ¼

3. Calculate its y-intercept

Point Z, (0,2), is the y-intercept.

4. Write the equation for the line

Insert the values of m and b

y = ¼x + 2

5. Check the points

(a) (-4,1)

1 = ¼(-4)+ 2

1 = -1 + 2

1 = 1

TRUE

(b) (1,-2)

-2 = ¼(1) + 2

-2 = ¼ + 2

-2 = 2¼

FALSE

(c) (2,0)

0 = ¼(2) + 2

0 = ½ + 2

0 = 2½

FALSE

(d)  

4 = ¼(4) + 2

4 = 1 + 2

4 = 3

FALSE

Only (-4,1) is on the perpendicular line.

The diagram shows the line going through AB in red and the perpendicular line in purple.

Answer:

-4,1

Step-by-step explanation:

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