Footrace takes place among 4 runners, how many ways to finish the race

Answers

Answer 1

4 * 3 *2 *1 = 24 different ways


Related Questions

A worker currently receives a yearly salary of $20,000.


a)Find the dollar values of a 3%, 4%, and 6% raise for this worker

Answers

Take 20,000*1.03
do the same for 4% and 6%
And round to the nearest dollar

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Because we are finding DOLLAR amounts, and not a total, we are simply going to do this:

Salary * (percent /100) = $Value

20,000 * 3%  [or 0.03] = $600

20,000 * 4%  [or 0.04] = $800

20,000 * 6%  [or 0.06] = $1,200


Now to find his new salary if he were to get a raise, we will add the individual amounts to 20,000 is he were to only get a SINGLE percent raise increase...


If his salary (currently) is $20,000 and gets a 3% raise, his new salary is:

$20,600

If his salary (currently) is $20,000 and gets a 4% raise, his new salary is:

$20,800

If his salary (currently) is $20,000 and gets a 6% raise, his new salary is:

$21,200


If he were to get all THREE raises at the same time (per say) [or one after the other going off of a $20,000 salary], his new salary is:

$22,600

A probability experiment consists of rolling a fair 12​-sided die. Find the probability of the event below. rolling a 5

Answers

it is one out of twelve, if the twelve sides have all numbers from 1-12

Suppose a college student pays $700 for tuition fees. However, she also has to pay $400 for her textbooks (ouch!). What percent of her total education costs does she pay for her books? Write your answer to the nearest tenth of a percent, but in decimal form.

Answers

400+700=1100

400/1100=0.36363636...

The books cost about 36 percent of her education costs
Final answer:

The student spends approximately 40% of her total education costs on her books, represented as 0.4 in decimal form.

Explanation:

The student's total education costs are the sum of the tuition fees ($700) and the cost of her books ($400). This comes to a total of $700 + $400 = $1100. The percent of the total education cost that is spent on books is then given by the cost of the books divided by the total cost, or $400 / $1100. When expressed as a decimal, this works out to be approximately 0.36 or 36%, but since we want to the nearest tenth of a percent in decimal form, it becomes 0.4 or 40% to the nearest tenth. Therefore, the student spends 40% of her total education costs on her books.

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6b^2-13+6=0 Quadratic equations by factoring

Answers

did u mean to write
6b² -13b +6=0
6b² -9b-4b +6 = 0
3b(2b-3) - 2(2b-3)=0
(3b-2)(2b-3)=0
b= 2/3 or 3/2

hope this helps

The equation for perimeter of square p=4s . what is the formula solved for p

Answers

it is already solved for p------   p=4s

using multiplication property of equality solve x/2=6

Answers

[tex] \frac{x}{2} [/tex] = 6
[tex] \frac{x}{2} [/tex] (2) = 6(2)
x=12

Answer:

x=12

Step-by-step explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

Multiplication property of equality is multiply both sides of an equation by the same number does not change the equation.

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

multiply two both sides

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

simplify

[tex]6*2=12[/tex]

[tex]12/2=6[/tex]

[tex]12/6=2[/tex]

[tex]2*6=12[/tex]

[tex]x=12[/tex]

Hope this helps!

Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0

Answers

When x = 0

A. 0, 7 is your answer

hope this helps

1 under typical conditions, 1 feet of snow will melt to 2 inches of water. 2 1 to how many inches of water will 2 feet of snow melt?

Answers

can you be more specific?

PLEASE ANSWER
1. Simplify the following expression:

a + 2c − 5b − c + a − b

2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c

2. Evaluate the following expression using the values given:

Find 3x^2 − y^3 − y^3 − z if x = 3, y = −2, and z = −5.

Numerical Answers Expected!

Answer for Blank 1:

Answers

#1 2a - 6b + c

#2 48 ( i think this is right )

The expression is simplified as 2a − 6b + c. Then the correct option is B. The value of the expression 3x² - y³ - y³ - z will be 48.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ a + 2c − 5b − c + a − b

Simplify the expression, then we have

⇒ 2a − 6b + c

Then the correct option is B.

The expression is given below.

⇒ 3x² - y³ - y³ - z

If x = 3, y = −2, and z = −5. Then the value of the expression will be

⇒ 3(3)² - (-2)³ - (-2)³ - (-5)

⇒ 3 x 9 + 8 + 8 + 5

⇒ 27 + 21

⇒ 48

The value of the expression 3x² - y³ - y³ - z will be 48.

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There are 11 books on a shelf. 5 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio of used books to all books?

Answers

a) 
Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.

b) 
The ratio is 6:11. You get the 6 from the above problem.

Hope this helps!

a) The ratio of new books to used books 5:6.

b) The ratio of used books to all books is 6:11.

What is the ratio?

The ratio is defined as the representation of one number with respect to the other number or one number is how many times the other number.

The ratio will be calculated as follows:-

a) Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.

b) We know that the number of used books is 6. The ratio is 6:11.

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Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid?

Answers

First, you multiply 176 by the discount 6% or 0.06

176 * 0.06= 10.56
$10.56 represents the number that needs to be added to get the total

176+10.56= 186.56

So Christ spent $186.56 on back to school clothes

Answer:

$176·1.06 = $186.56

Therefore, the total amount that Christa paid was $186.56.

f(x)=3^x and x=-5 help

A) 1/729

B) -15

C) 1/243

D) -125

Answers

The answer is c)1/243

Which number should replace the question mark in the number grid below?

Answers

B. 5

Each row across (left to right) adds up to 43

Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born

Answers

a+b+c=5982
find the average of the three friends 
5982/3=1994
add and subtract one to find the average 
1994+1=1995
1994-1=1993
add all the years together to check 
1993+1994+1995=5983

Angle bisectors of the angles ∠A and ∠B of a triangle ∆ABC intersect each other at point M. Find m∠AMB, if m∠A = 58°, m∠B = 96°.

Answers

measure angle A is 58 degrees, this means that, the angle bisector divides the angle into two equal angles each of measure 58/2 = 29 degrees

measure angle B is 96 degrees, this means that the angle bisector divides the angle into two equal angles each of measure 96/2 = 48 degrees

In triangle AMB, we know that the sum of all measure of a triangle is 180 degrees and we have measure angle MAB = 29 degrees and measure angle MBA = 48 degrees
Therefore,
measure angle AMB = 180 - (29+48) = 103 degrees

Answer:

103 degrees

Step-by-step explanation:

Bisectors means you make a line in the middle splitting the angle in half. So you divide A by 2 to get 29 and B to get 48. Then you add them to get 77. And now you only need point m's angle. 180-77 is 103 so the answer they are looking for is 103.

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ​ ?

Answers

Steps:

1. Let the three points be as follows:

A(-2,1), B(2,1), C(3,4)

2. Use the distance formula for points to find the lengths AB, BC, and AC. You will need to use the formula 3 times.

3. Use Heron's formula

A = sqrt{s(s-AB)(s-BC)(A-AC)}

Note s = (AB + BC + AC)/2

GET STARTED NOW.
check the picture below.

you can pretty much count the lengths off the grid.

recall that A = 1/2 bh.

Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)

Answers

m= (y2-y1) / (x2-x1)
m= (0-4) /  (2-(-6 ))
m= -4/8
m= -1/2

Answer: [tex]y=\dfrac{-1}{2}(x-2)[/tex]

Step-by-step explanation:

The equation of a line passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Given : The points from which line is passing :  (-6,4) and (2,0)

Then , the equation of the line, in point slope  form, that passes through  (-6,4) and (2,0)will be :-

[tex](y-(0))=\dfrac{4-0}{-6-2}(x-2)\\\\\Rightarrow\y=\dfrac{4}{-8}(x-2)\\\\\Rightarrow\ y=\dfrac{-1}{2}(x-2)[/tex]

you can find the ______ parts of two congruent triangles by aligning them perfectly on top of each other.


A. corresponding

B. similar

C. complementary

D. supplementary

Answers

It is A. Corresponding.

You can find the corresponding parts of two congruent triangles by aligning them perfectly on top of each other.

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , when the triangles are aligned perfectly on top of each other ,

They are corresponding and the and the measures of the angles are same

And , the measure of the legs of the triangles will also be congruent

Hence , the corresponding parts are same

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Which is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16

Answers

d d d d d d d d d d d d 
D 18/16 because its over a whole number its 1.2 6/8 isnt a whole number

An angle is 5 times the measure of its complement. find the measure of the larger angle

Answers

Answer:

75°

Step-by-step explanation:

The angle is our unknown, so we will call it x.  If x is the angle, then its complement is 90 - x (complementary angles add up to 90).  The word "is" means "equals", and "5 times" is multiplying the complementary by 5:

x = 5(90 - x) so

x = 450 - 5x

Combine like terms to get

6x = 450 so

x = 75

The other angle, the complement to that angle, is 90 - 75 = 15

The larger angle is 75°

4[(6 - 1) + 3(5 - 2)] 44 46 56

Answers

4[(6 - 1) + 3(5 - 2)]

4(5 + 3 × (5 - 2)]

4(5 + 3 × 3)

4(5 + 9)

4 × 14

56

hope that helps, God bless!

The numerical expression 4[(6 - 1) + 3(5 - 2)] evaluates step-by-step following the order of operations. Operations within the parentheses are performed first, followed by multiplication, resulting in a final answer of 56

The student's question involves evaluating a numerical expression, which is a concept in mathematics. We have the expression 4[(6 - 1) + 3(5 - 2)] and want to calculate its value step by step following the order of operations:

First, perform the operations inside the parentheses: (6 - 1) = 5 and (5 - 2) = 3.Next, multiply by 3 within the parentheses: 3(5 - 2) becomes 3 * 3 = 9.Now, add the results within the square brackets: 5 + 9 = 14.Finally, multiply the result by 4: 4 * 14 = 56.

Hence, the correct answer to the expression is 56


Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?

Answers

Sarah has = $2000    5% coupon

n= interest in 6 months

$2000 x 5% = $100 interest in month

$100 x 6 months = $600 interest in 6 months

Writing equation in slope intercept form

Answers

I will do B only. You do the rest. The idea is to isolate y for all equations.

If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?

Answers

ugherw;guih4g;/mr5t;
./erbgjkwehjbf.aeh bnjlnbwef erl,jh

a piggy bank contains $2.40 in nickels and dimes. if there are 33 coins in all, how many nickels are there

Answers

There are 18 nickels and 15 dimes.

The sales tax rate for a local county is 8.4%. If an item costs $391 (before tax), how much sales tax will be due?

Answers

For every 100 dollars, the sales tax would be around 8 dollars and 4 cents. Since there is still 91 dollars you would have to add around 7 dollars and 68 cents. You would go 8 x 3 for 24 plus 7 dollars for 31 dollars and then deal with the change. 4 times 3 is 12 cents plus 68 cents for 80 cents. 

The total would be 31 dollars and 80 cents.
Yeah the answer would be 31 dollars and 80 cents :)

For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95

Answers

From the data shown in the scater plots, the points are scattered apart which means that r is not close to 1.

Also the data points increase to the right which means that r is positive.

Therefore, the estimate for r in the data shown in the scatter plot is 0.55

Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).

Answers

Attached the solution and work.

Hey there! :)

Perpendicular to y = -3x + 5 ; passes through (2, 6).

Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.

A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.

So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.

Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!

y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)

Simplify.

y - 6 = 1/3x - 2/3

~Hope I helped!~

There is no answer choices. I really need help with this! prime factorize (expand) the expression 12a^3bd^5

Answers

[tex]\bf 12a^3bd^5\qquad \begin{cases} 12=2\cdot 2\cdot 3\\ a^3=a\cdot a\cdot a\\ d^5=d\cdot d\cdot d\cdot d\cdot d \end{cases}\implies (2)(2)(3)aaabddddd[/tex]

is all I can see, I mean, you can't kill a dead horse, you can hit it, it won't make it deader, just flatter.

In 1995, 57.5% of students at gardiner university graduated in 4 or fewer years of study. in 2009, that number had fallen to 52.8%. what was the rate of change for percent of students graduating within 4 years from 1995 to 2009

Answers

-0.3357% per year The rate of change is given by change/time The change found by finding the difference in the two percentages: 52.8 - 57.5 = -4.7% The time that passed is found in a similar way 2009 - 1995 = 14 Now plugging in to the for
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