The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where the order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible

Answers

Answer 1

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.


Related Questions

Please help!!
The picture of the question is attached...​

Answers

Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

PLS HURRY!! Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.

Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45

She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.

Answers

Answer:

Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

divide the price by the the number of ounces.

2.55/12 = .21

1.45/8 = .18

So there’s two cell phones the length on first is 8.4 inches the width on the first cell phone is 5.6 inches. On the second cell phone the length is 9.21 inches. The length and width of the two cell phones are proportional. What is the width, inches of the larger of the cell phone?

Answers

Answer:

The width, in inches of the larger cell phone is 6.14 inches.

Step-by-step explanation:

To solve we must set up a ratio.

[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]

After setting this ratio up, we can cross multiply to solve for y.

8.4(y) = 5.6(9.21)

8.4(y) = 51. 576

To get y alone we divide by 8.4 on both sides.

y = 6.14

The width, in inches of the larger cell phone is 6.14 inches.


X/4- 3 = 9
the / means divided

Answers

Answer:

48 x means 48

Step-by-step explanation:

48/4= 12

12-3=9

/ means divided

An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours​

Answers

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

The solution is n=-2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

Answers

Answer:

- 0.8 = - 0.8

n = - 2 is a solution.

Step-by-step explanation:

1.4n + 2 = 2n + 3.2

1.4(- 2) + 2 = 2(- 2) + 3.2

- 2.8 + 2 = - 4 + 3.2

- 0.8 = - 0.8

How to solve

1.4n + 2 = 2n + 3.2

1.4n + 2 - 2 = 2n + 3.2 - 2

1.4n = 2n + 1.2

1.4n - 2n = 2n - 2n + 1.2

- 0.6n = 1.2

- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6

n = - 2

Rewrite this equation in Slope Intercept form and
solve the equation at x = -1. Show your work.
2x + y = 6

Answers

Answer:

y = -2x+6

y=8  when x = -1

Step-by-step explanation:

2x + y = 6

Slope intercept form is  y = mx+b where m is the slope and y is the intercept

Solve for y

Subtract 2x from each side

y = -2x+6

The slope is -2 and the y intercept is -6

Let x = -1

y = -2(-1) +6

y = 2+6

y=8

(-1,8)

Answer:

y = -2x + 6

y = 8

Step-by-step explanation:

Rewrite this equation in Slope Intercept form

2x + y = 6

Subtract 2x from both sides

y = -2x + 6

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

solve the equation at x = -1

y = -2(-1) + 6

y = 2 + 6

y = 8

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

White 47 percent, 23 percent blue 30 percent red.

47+23+30=100 percent

Step-by-step explanation:

So to get the percentages you first have to get the numbers that you need in this case it is 47,30,and 23.

After that we have to first multiply the numbers(47,30,23)by 100 because

100 hundred is our total percent so 47x100=4700 30x100=3000

and 23x100=2300.And 47x100=4700 30x100=3000

and lastly 23x100=2300.So after we multiply the numbers by 100 hundred we have to divide so we see there's 100 cars so we divide by that because that is the total amount of cars and if we divide all our numbers by 100 we will get the answer,

4700/100=47 percent 3000/100=30 percent 2300/100=23 percent

and to check our answer is right we have to add all our number percentages up to see if all the numbers add up to 100.(percentage)so 47+30+23=100

So that means our answer is right.

what is 5/20 as a percent if you could give an explanation that would be good but if not thats okay

Answers

5/20 can also be represented as 25/100 or 25%. The can be done by multiplying the top and bottom both by 5 and then dividing our numerator (25) by our denominator(100) to get the %.

Answer:25%

Step-by-step explanation:A pectange has to be out of 100 so that means 5/20 is 25/100 because 20 times 5 equals 100 and 5 times 5 equals 25 making it 25%.

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Answer:

No.

Step-by-step explanation:

33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.

Answer:

no , it is not a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

33^2 + 56^2 = 66^2

1089 + 3136 = 4356

4225 = 4356

since both sides are not equal it can be concluded that the given side lengths does not form right triangle.

What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ

Answers

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]

Then, we simplify. The like terms go together, and you have your solution.

[tex]2w^{2} + 2w+36[/tex]

PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east.

Answers

a. As sun peeks, it creates a straight line- sun to tree to shadow, angle=180°
b. During morning, the sun-tree-shadow changes from 180° to 90°, during noon, angle =90°.During sunset the angle changes from 90 to 0°.
c. Acute angles created in afternoon.
d. A right angle would be created at noon.
e. Obtuse angle would be created in morning.
f. Yes, a straight angle would be created at sunrise.
g. When sun is at mid-morning, the angle=45°+90°= 135°

which graphs represent functions

A. Graph D only
B. Graph B and Graph D
C. Graph C and Graph D
D. Graph A only​

Answers

Answer: C i believe

Step-by-step explanation:

Answer:

the option answer is B

Step-by-step explanation:

the is the answer because it represents functions

Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure

Answers

Answer:

D. Closure

Step-by-step explanation:

D. Closure

the answer would be b

sofia uses 8 gallons of gas to drive 204 miles. at the same rate, How many miles can sofia drive using 18 gallons of gas?

Answers

Answer:

Sophia can drive 3672 miles using 18 galloons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Calculate miles per gallon by dividing the miles she drove you the gallons used:

204/8 = 25.5 miles per gallon.

Now multiply miles per gallon by gallons:

25.5 x 18 = 459 miles

Answer: 459 miles

5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.

Answers

Answer:

m = 5, n = 2

Step-by-step explanation:

[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]

please help me help help help​

Answers

xy+xb+ya+ab = 32

x(y+b) + a(y+b) = 32

(x+a) (y+b) = 32

4.(y+b) = 32

(y+b) =32/4

(y+b) = 8

OPTION C

Perform the following operation: -3+6​

Answers

Answer:

3

Step-by-step explanation:

it is a correct answer .................

Answer:

The answer would be 3

*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!

Answers

just multiply the given x values by the function rule, that’s how you get ur y

5) If (x - 5) is a factor of 2r3 - 7px + (p - 12),
find the value of p.
{ANS: p = 7)​

Answers

Answer:

the value of p is 7

Step-by-step explanation:

Given function;

f(x) = 2x³ - 7px + (p - 12)

factor of the given function = x - 5

Apply remainder theorem to solve for p

f(x - 5) = 0

x - 5 = 0

x = 5

f(5) = 2(5)³ - 7p(5) + (p - 12) = 0

        2(125) - 35p  + p - 12 = 0

         250 - 34p  - 12 = 0

        238  - 34p = 0  

           34p  = 238

                p = 238/34

                 p = 7

Therefore, the value of p is 7

Please help ASAP!!!!!

Answers

Answer:

SHORT ANSWER IS B.

Angles in a triangle add up to equal 180 degrees

Hence, 40x - 27 + 25 - 2x + 26 + x = 180

( Note that we just created an equation that we can use to solve for x)

We now solve for x using the equation we created

40x - 27 + 25 - 2x + 26 + x = 180

Combine like terms

39x + 24 = 180

Subtract 24 from both sides

39x = 156

Divide both sides by 39

PLEASE HELP ME WITH THIS ITS DUE TONIGHT

BE HONEST WITH YOU ANSWER AND EXPLAIN HOW YOU GOT IT PLEASE

THANK YOU

Answers

Answers:

Angle C = 95 degreesAngle D = 72 degreesAngle F = 108 degreesArc CFE = 216 degrees

================================================

Explanations:

For any inscribed quadrilateral like this, the opposite angles are always supplementary. So that means C+E = 180. Plugging in E = 85 leads to C = 95.Angle D is an inscribed angle that subtends arc CFE. By the inscribed angle theorem, the inscribed angle is half that of the arc it cuts off, so angle D is half of 144 degrees at 144/2 = 72 degrees.Use the idea mentioned in problem 1. So we'll have F+D = 180. Plug in D = 72 to find that F = 108.Arcs CDE and CFE form a full circle. So the arc measures must add to 360 degrees. We simply subtract 144 from 360 to get the answer 216. As an alternative, you can use the idea mentioned in problem 2, but work in reverse.

Find the surface area and volume of each cylinder:
a) Radius = 5 cm, height = 7.5 cm.
b) Diameter = 7 inches, height = 5 inches, state your answer in terms of .

Answers

Cylinder A -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908

A = 392.7 cm^2

Volume:

V = πr^2h

V = π · 25 · 7.5 ≈ 589.04862

V = 589 cm^3

Cylinder B -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476

A = 186.9 cm^2

Volume:

V = πr^2h

V = π · 12.25 · 5 ≈ 192.42255

V = 192.4 cm^3

Answer:

a) surface area: 125pi     volume: 187.5pi

b) (i dont know what you mean by "in terms of ." so ill give both)

surface area: 210pi or 659.734     volume: 61.25pi or 192.422

Step-by-step explanation:

a) surface area is this

2pirh+2pir^2

plug it in..

2pi(5)(7.5)+2pi(5)^2

simplify...

75pi+50pi

125pi

volume is this

pir^2h

plug it in...

pi(5)^2(7.5)

simplify...

187.5pi

b is basically same steps.

(i had to replace all the pi symbols with "pi" because it was inappropriate???)

Find the surface area of the triangular prism.

NO FAKE ANSWERS OR LINKS

Answers

Answer

177.62

Step-by-step explanation:

whats is the answer to x+2=-2x+4

Answers

X=2/3 yeah i got that

Find the exact value of sinA in simplest radical form.

Answers

Answer:

√7 / 4.

Step-by-step explanation:

Sin A = opposite side/ hypotenuse

= √63 / 12

= √9√7 / 12

=   3√7 / 12

=  √7 / 4.

The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question

Answers

Answer:

The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.

Hope this answer is right!!

Answer:

Width: 13

Area: 42

Step-by-step explanation:

A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because

29+29=58

84-58=26

And 26/2=13

Please solve and show me how you solved it

Answers

Answer:

Step-by-step explanation:

(x^a)^b=(x)^{a×b}

x¹² would be the answer. The 3 and 4 multiply together. x( ⁴ * ³) = x¹²

Please help me find the answer

Answers

The answer is “1.49”

Explanation:

substitute 42 into θ

cot (42) sec (42) = csc (42) or 1.49447654

Round to two decimal places and that gives you “1.49”

which expression are equivalent to the given expression square root of 40

Answers

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

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