In 2013, there were 50,304 runners in the New York City Marathon. Each runner runs a distance of 26.2 miles. If you add together the total number of miles for all the runners, how many times would they run back and forth from the earth to the moon? Consider the distance from the earth to the moon to be 2.389 x 105 miles.

Answers

Answer 1

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:

Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.

The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:

Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516

Time ran back and forth = 5.516 / 2 = 2.76

The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.

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Related Questions

Select the correct answer.
Which equation represents the line that is perpendicular to y = and passes through (-6,-9)?
OA. x = -9
B. X=-6
OC. y=-9
OD. y=-4

Answers

The equation of the line will be x = -6, that is, option B.

Here, we are given that a line passes through point (-6,-9) and perpendicular to y = 1/4

If two line are perpendicular to each other, the product of their slopes is equal to -1.

Here, the slope of y = 1/4 will be 0 as y is a constant value and not changing.

Let the slope of the given equation be m

them m × 0 = -1

m = -1/0

Thus, the slope is not defined, this means that the line will be parallel to x axis of the form x = k.

Now, we know that the line passes through point (-6,-9). This means that if y = -9, x will be -6. But we know that x will take only one value for all values of y.

Thus, the equation of the line will be x = -6, that is, option B.

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Your question was incomplete. Check for the full content below-

Select the correct answer.

Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?

OA. x= -9

OB. x=-6

Oc. y=9

OD. y= -4

A certain medicine is given in amount proportional to a patient body weight.suppose a patient weighing 195 pounds requires 279 milligrams of medicine .what is the amount if medicine required by a patient weighing 130 pounds

Answers

The amount of medicine required by a patient weighing 130 pounds is 186 milligrams of medicine.

What is a ratio?

A ratio is a comparison of two or more numbers that indicates their sizes and amount in relation to each other.

We have,

Patients weighing 195 pounds require 279 milligrams of medicine.

We can write this in ratio as:

= 279 / 195

Now,

We need to have both patients in proportion.

Proportion means their ratios must be equal.

Let the amount of medicine required for the second patient be M.

We have,

279 / 195 = M / 130

We will find M.

(279 x 130) / 195 = M

M = 186

Thus the amount of medicine required by a patient weighing 130 pounds is 186 milligrams of medicine.

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Which set does NOT contain consecutive integers?
O 12, 22, 32
O 100, 99, 98
O-11, -10, -9
O 10, 11, 12

Answers

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

As discussed , the numbers that follow each other in an order are called consecutive numbers or consecutive integers. These integers go from smallest to the highest, i.e. in ascending order. Some of the examples are:

-4,-3,-2, −1, 0, 1, 2, 3, 410,11,12,13,14,15,16100,101,102,103,104,105,1064, 5, 6, 7, 8-1, 0, 1, 2, 3, 4, 5, 6-20, -19, -18, -17

From the above examples, we can see, the integers follow each other in a sequence. The difference between preceding and succeeding integers is always equal to 1.

4-3 = 1-2-(-3) = 1101-100 = 1

So, given question, we can write:

For a consecutive integers, the number either increases by 1 or decreases.

First we take option 1:

12,22,32

Find out difference,

22-12=10 , 32-22=10

The difference is '10'

Hence it is not consecutive integer.

We take option 2:

100,99,98

Find out difference,

100-99=1 , 99-98=1

The difference is '1'

Hence it is consecutive integer.

We take option 3:

-11,-10,-9

Find out difference,

=-10-(-11) , =-9-(-10)

=11-10=1 , =-9+10=1

The difference is '1'

Hence it is consecutive integer.

We take option 4:

10,11,12

Find out difference,

11-10=1 , 12-11=1

The difference is '1'

Hence it is consecutive integer.

So, 12,22,32 is not contain consecutive integer, because the difference is '10'. For a consecutive integers, the number either increases by 1 or decreases.

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Consider 3 1/2 divided by 4. Pls show ur work

Answers

Answer: 7/8

Step-by-step explanation:

[tex]\displaystyle\\3\frac{1}{2} :4=\\\\\frac{3*2+1}{2}:4=\\\\\frac{6+1}{2}:4=\\\\ \frac{7}{2}*\frac{1}{4} =\\\\\frac{7*1}{2*4} =\\\\\frac{7}{8}[/tex]

What are the coordinates of point P when it is 2/3 of the way along the line from A to B.
Given A(-3,-4) and B(3,5)

Answers

I also need help with this^

Answer:

Hello,

P=(1,2)

Step-by-step explanation:

[tex]\overrightarrow{OP}=\overrightarrow{OA}+\dfrac{2}{3} *\overrightarrow{AB}\\\\=(-3,-4)+\dfrac{2}{3} *(3-(-3),5-(-4))\\\\=(-3,-4)+\dfrac{2}{3}*(6,9)\\\\=(-3,-4)+2*(2,3)\\\\=(-3,-4)+(4,6)\\\\\boxed{=(1,2)}\\[/tex]

A rectangle has a perimeter of 37 cm more than the width. If the width and the length are consecutive odd integers, with the width being the smallest of the
two, find the width and length of the rectangle.
width=
cm, length=
cm

Answers

The width and length of the rectangle are 11 and 13 cm respectively

What are perimeters?

The perimeter of a shape is the sum of the side lengths of the shape

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

How to determine the width and length of the rectangle?

The given parameters about the rectangle are

Perimeter = 37 + Width

Length = Width + 2 i.e. consecutive odd integers, and width is smaller

Rewrite the above equations as

p = 37 + w

l = w + 2

The perimeter of a rectangle is

p = 2 x (l + w)

Substitute p = 37 + w in the above equation

So, we have

2 x (l + w)= 37 + w

Substitute l = w+ 2 in the above equation

So, we have

2 x (w + 2 + w)= 37 + w

Evaluate the like terms in the above equation

So, we have

2 x (2w + 2)= 37 + w

Open the bracket in the above equation

So, we have

4w + 4= 37 + w

Evaluate the like terms in the above equation

So, we have

3w = 33

Divide both sides of the above equation by 3

So, we have

w = 11

Recall that

l = w + 2

So, we have

l = 11 + 2

Evaluate

l = 13

Hence, the width and length of the rectangle are 11 and 13 cm respectively

Answers

Answer:

You would travel 331.80 miles

Step-by-step explanation:

79 × 4.2 = 331.8 rounded to the nearest hundredth is 331.8

Pls help me with my math

Answers

Answer:

Step-by-step explanation:

You are asked to find the slope of the function.
You can find the slope using the formula [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

For simplicity, I'll take the points (0, 0) and (1, 3) and substitute their coordinates into the formula.

[tex]m = \frac{3 - 0}{1 - 0} \to \frac31 \to 3[/tex]

Therefore, [tex]y = 3x[/tex]

Nine friends go out to watch a movie at a movie theatre. Each row of the movie theatre has 10 seats but the last sit on the row has been reserved for a special guest. The friends will sit on the remaining seats. 5.1. How many ways can they arrange themselves on these remaining seats?

Answers

Nine friends can arrange themselves on the nine rows of movie theatre in 362,880 ways.

What is defined as the combination?A combination is a method of selecting objects from a collection in which the order of choice is irrelevant.The combination is described as "an arrangement of objects in which the order where the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.Combination is an a kind of permutation in which the order of such selection is ignored. As a result, the number of permutations is always greater than the amount of combinations.

For the given question;

The total number of friends went to watch movie = 9.

The initial number of seats in movie theatre = 10

The seats left after the removal of one seat = 9

Thus, the nine friends can arrange on the 9 seats in 9! ways.

9! = 9×8×7×6×5×4×3×2

9! = 362,880

Therefore, the possible arrangement of 9 friends on remaining seats is 362,880.

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Multiply the number by 4 . Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.

Answers

Answer:

[tex]2x[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the given number.

"Multiply the number by 4" [tex]\to 4x[/tex]

"Add 6 to the product" [tex]\to 4x + 6[/tex]

"Divide this sum by 2" [tex]\to \frac{4x + 6}2 \to 2x + 3[/tex]

"Subtract 3 from the quotient" [tex]\to 2x + 3 - 3 \to 2x[/tex]

how to write a upside down V on the keyboard

Answers

after you open your keyboard click on the "?123" button then click on the "=\<" button then there u will look for the upside down V

Step-by-step explanation:

thank you !!

can someone explain how do i do this 343c^3+d^3=?

Answers

The answer of given expression [tex]343c^3+d^3[/tex] will be [tex](7c + d)(49c^2-7cd+d^2)[/tex]

An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are: Constant: A constant is a fixed number. Variables: Variables are symbols that do not have fixed values. Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division. Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

We have given an expression [tex]343c^3+d^3[/tex] which can be written as [tex](7c)^3+(d)^3[/tex]

Using identity [tex]a^3 + b^3 = (a + b) (a^2 - ab + b^2)[/tex]. ...(1)

Put a = 7c and b = d in equation (1) , we get

[tex](7c)^3 + (d)^3 = (7c + d) ((7c)^2 - 7cd + (d)^2)\\\\(7c)^3 + (d)^3 =(7c + d)(49c^2-7cd+d^2)[/tex]

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List the first three common multiples of 31, 18, and 20. (I know the answer, just not how to get the answer)

Answers

The 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

Here, we have three numbers- 31, 18, and 20

To find 3 common multiples of these numbers, we first find the least common multiple or LCM of these 3 numbers.

31 is a prime number, hence it can be written as- 31 × 1

18 can be written as- 3 × 3 × 2

20 can be written as- 5 × 2 × 2

Thus, the LCM of 31, 18 and 20 will be-

3 × 3 × 5 × 2 × 2× 31 × 1

= 5580

Thus, we found the least common multiple of 31, 18 and 20.

Now, the other 2 multiples will be multiples of the LCM itself.

The other two numbers can be-

5580 × 2 = 11,160

5580 × 3 = 16,740

Thus, the 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

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What is true about triangle LMN? Check all that apply.

A. LM ⊥ MN.
B. The triangle is scalene.
C. The triangle is equilateral.
D. The triangle is isosceles.
E. The triangle is a right triangle.

ANSWER is A, D, E

Answers

The triangle LMN is an isosceles and right-angled triangle.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given:

In a given triangle is LMN

According to given question we have

An isosceles triangle is a triangle with two congruent sides and one unique side and angle.

An equilateral triangle is a triangle with three congruent sides and three congruent angles.

A scalene triangle is a triangle with no congruent sides and no congruent angles.

A right triangle is a triangle that has one right angle.

The triangle is right-angled because the line segment LM is perpendicular to the MN.

Therefore, the triangle LMN is an isosceles and right-angled triangle.

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Answer: 1, 4 and 5

Step-by-step explanation:

LM ⊥ MN

The triangle is isosceles

The triangle is a right triangle

What decimal represents the portion of people who own dog

Answers

The decimal that represents the portion of people who own dog will be 0.32.

How to illustrate the information?

It should be noted that decimal numbers are the numbers that are used for denoting numbers that have while numbers and fractions.

In this case, it was stated that Isaac read that 32% of people owned dogs.

Therefore, the decimal that represents the portion of people who own dog will be:

= 32 / 100

= 0.32.

The decimal that represents the portion of people who own dog will be 0.32.

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Isaac read that 32% of people owned dogs. What decimal represents the portion of people who own dog?

A firm produces a product that has the production cost function C(x)=220x+3905 and the revenue function
R(x)=275x. No more than 22 units can be sold. Find and analyze the break-even quantity, then find the profit function.
The break-even quantity is 71 units.
(Type a whole number.)
If the company can produce and sell no more than 22 units, should it do so?
OA. Yes. Since 22 is greater than the break-even quantity, production of the product can produce a profit.
OB. Yes. Since 22 is less than the break-even quantity, production of the product can produce a profit.
C. No. Since 22 is equal to the break-even quantity, production of the product cannot produce a profit.
D. No. Since 22 is less than the break-even quantity, production of the product cannot produce a profit.
Write the profit function.
P(x)=

Answers

p(x)= 92789293838282

HELPPP PLSSSS
Is the following shape right triangle? How do you know?
O A. There is not enough information to determine.
• B. No, there is no right angle.
• C. Yes, two sides are perpendicular, and the side lengths fit the
Pythagorean theorem.
• D No, the side lengths do not fit the Pythagorean theorem.
SUBMIT

Answers

Answer C: Yes, 2 sides are perpendicular, and the side lengths fit the pythagorean theorem

Multiply the polynomials (4a3-5a-3) and (2a2-7a+3). Simplify the answer.

Answers

Answer:

(4a3-5a-3)(2a2-7a+3)

Step-by-step explanation:

use 4a3 to multiply everything in the both brackets=

8a⁵-28a⁴+12a³. then use -5a to multiply everthing in the both brackets =

8a⁵-28a⁴+12a³-10a³+35a²-15a. then use -3a to multiply everthing in the both brackets =

8a⁵-28a⁴+12a³-10a²+35a²-15a-6a²-21a-9.then you furthermore solve=

8a⁵-28a⁴+2a³+29a²-36a-9

A bus driver drives 547.25 miles on day 1 of a trip. On day 2, he drives 327.875. How many more miles did he drive the first day than the second day?

Answers

Answer:

Step-by-step explanation:

Bro u just subtract...:)

547.25(day 1) - 327.875(day2) = 219.375 miles as the difference(just use a calculator)

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

f^-1(f(6.022)) =
or f inverse of the inverse of 6.022 is equal to what?
And f^-1(-10) + f(6) =
Or f inverse of (-10) + f of (6) is equal to what?
Need help please

Answers

[tex]f^{-1}[/tex](f(6.022)) is 6.022 and [tex]f^{-1}[/tex](-10) + f(6) is -4

The general evaluation of function is

[tex]f^{-1}[/tex](f(x)) = x

Here we have to find [tex]f^{-1}[/tex](f(6.022))

Therefore [tex]f^{-1}[/tex](f(6.022)) = 6.022

Now we have to find the value of [tex]f^{-1}[/tex](-10) + f(6)

Form the table of values, we have

[tex]f^{-1}[/tex](-10) = -6 and f(6) = -10

So we have

[tex]f^{-1}[/tex](-10) + f(6) = 6 + (-10)

= 6 -10

= -4

Therefore [tex]f^{-10}[/tex] (-10)+ f(6) = -4

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Chocoholic sells 9 different kinds of chocolate. You are going to buy 16 chocolates. You pick pretty randomly. How many different purchases could you make?

Answers

The number of different purchases you could make is 11440

How to determine the number of different purchases you could make?

The given parameters are:

Number of chocolate, n = 16

Kinds of chocolate, r = 9

The number of different purchases you could make is calculated using the following combination equation

Purchases = C(n, r)

So, we have

Purchases = C(16, 9)

Apply the combination formula

Purchases = 16!/(9! * 7!)

Evaluate the expression

Purchases = 11440

Hence, the number of different purchases you could make is 11440

Answers

The revenue equation of the item is r = 3.56q

How to determine what is the revenue equation?

The given parameters are:

Expense equation, E = 3.2q + 56000

Selling price = 3.56 per item

This means that the selling price equation is

S = Selling price per item * Number of items

So, we have

S = 3.56 * q

This gives

S = 3.56q

The total selling price of the item is the same as the revenue equation

So, we have

r = 3.56q

Note that the revenue equation is also a linear equation

Where linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

Hence, the revenue equation of the item is r = 3.56q

Answers

In the shadow of the tree, Height = 4 feet

Given :

A 32-foot tree is directly between you and the sun

you are standing 105 feet away from the tree

the tree casts a 120-foot shadow

Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. The branch called “Trigonometry” basically deals with the study of the relationship between the sides and angles of the right-angle triangle. Hence, it helps to find the missing or unknown angles or sides of a right triangle using trigonometric formulas, functions, or trigonometric identities. In trigonometry, the angles can be either measured in degrees or radians.

In this article, let us discuss the six important trigonometric functions, ratios, trigonometry tables, formulas, and identities that help to find the missing angles or sides of a right triangle.

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle.

Solution :

Trigonometry

Length of shadow= 120-105

Length if shadow= 15 feet

height= x

X/15= 32/120

X= 15*32/120

x= 15* 16/60

x= 15*8/30

x= 15*4/15

x= 4

X = 4 feet

Height = 4 feet

In the shadow of the tree, Height = 4 feet

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Will Give Brainliest!!!! Match each step with the correct justification.
Given: QM MR
a. Given
b. Subtraction Property of Equality
c. Addition Property of Equality
d. Substitution.
e. Division Property of Equality

Answers

Answer:

Will Give Brainliest!!!! Match each step with the correct justification.

Given: QM MR

a. Given

Please help

please hurry

Answers

The numbers in this problem are classified as follows:

A. Rational.

B. Rational.

C. Irrational.

What are rational and irrational numbers?

Rational numbers are numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.Irrational numbers are numbers that cannot be represented by fractions, such as non-exact square roots and non-terminating and non-repeating decimal.

Hence:

Item a is rational, as the number is 0.244444, which is a repeating decimal.Item b is rational, as the number is a fraction.Item c is irrational, as the number is a non-exact square root.

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Given −26.609 ÷ −0.59, find the quotient.

Answers

45.1 because you divided

Answer:

45.10

Step-by-step explanation:

The "quotient" is the answer or result of a division problem. Look up "significant digits" if you want to know why I have the answer to two decimal places.

A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3227 tickets overall. It has sold 158 more $20 tickets than $10 tickets. The total sales are $62,410. How many
tickets of each kind have been sold?

ILL GIVE BRAINLIEST

Answers

Answer:

[tex] \sqrt[16]{5 |2| } sdh[/tex]

usmsks

Joe, Thea, and Taylor invested in a partnership in the ratio 1:2:3, respectively. Years later, when the partnership was worth $1.2 million, Thea decides to go to graduate school and sells her part of the partnership to Joe. How much would Joe need to pay Thea to buy her share of the business?

Answers

Jeo need to pay $0.4 million to buy Thea’s share.

Given,

Ratio of investment of Joe, Thea, Taylor in the partnership = 1:2:3

Worth of partnership after some years = $1.2 million

Now, we can calculate the share of partners:

Total of investment = 1 + 2 + 3 = 6

1.2 / 6 = 0.2 million, this is the investment.

Now share of partners:

Joe’s share = 0.2 x 1 = $0.2 million

Thea’s share = 0.2 x 2 = $0.4 million

Taylor’s share = 0.2 x 3 = $0.6 million

From the above data’s we can conclude that Joe needs $0.4 million to buy Thea’s share.

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Given that lines A and B are parallel, if angle 1 measures 48 degrees and angle 2 measures 51 degrees, what is the measure of angle 3?

Answers

Answer:

81°

Step-by-step explanation:

m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.

consider the division statement 1/4 ÷ 7/16 descrjbe a real world situation that might involve this exxpresion

Answers

The division statement 1/4 ÷ 7/16 can be seen in a real-life situation when a ratio of boys in two different classes is being ascertained to help use the ratio of said classes to derive the distribution of textbooks

This is further explained below.

What is a division?

Generally, The process of combining numbers to create new numbers is referred to as division, and it is one of the four fundamental operations of mathematics.

In conclusion, the remark on the division In real life, the ratio 1/4 to 7/16 may be observed while determining the number of male students in two distinct classrooms in order to determine how many textbooks should be assigned to each of those classes based on the number of male students in each class.