A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?

Answer:

Identity property of addition ( 3 + 5) + 0 = (3 + 5)

Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4

Identity Property of  Multiplication 5(1) = 5

Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7

Commutative Property of Addition 3 + 5 = 5 + 3

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

2x-6 + 4x-12

6x - 18

Answer:

6x - 18

Step-by-step explanation:

(2x−6)+4(x−3)

Distribute

2x -6 + 4x - 12

Combine like terms

6x - 18

[tex]solution \\ hypotenuse = x \\ base = 12 \\ perpendicular = 5 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {5}^{2} + {12}^{2} \\ or \: {x}^{2} = 25 + 144 \\ or \: {x}^{2} = 169 \\ or \: x = \sqrt{169} \\ x = 13 \\ [/tex]

hope it helps....

Good luck on your assignment

Answer:

Step-by-step explanation:

using pythagoras theorem which says the square root of the sum of the  square of the opposite  side  and the square of the adjacent side would give the value of the hypotenuse

hyp^2 = opp^2 + adj^2

i dont have the square root symbol but u can solve it either way :

you can input the values given and then collect like terms or u can take the square root of the right side. The right angle would always face the hypotenuse which is the longest side.

hyp = x

x^2=(5)^2 +(12)^2

x^2= 25 +144

x^2=169

take the square of both sides to get your value for x

x= 13

Answer:

16:24 is the answer

Hope it helps:)

Step-by-step explanation:

The initial number of cards were

1x:1x

(Equal red cards and black cards)

So, total of 48 and..

24 red cards

24 black cards

Now, since 8 red cards are removed we have,

24-8= 16 red cards

and 24 black cards

So the ratio of red to black is--

16:24

= 2:3 ( i divided both with 8 to simplify )

Pack 48                          48/2 =24

Red= 24                      24/24 : 24 / 24

Black = 24                            1:1

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

Pack 48                        48/2 = 24    

Red= 16                     24 / 16 : 24 / 24

Black= 24                    1,5 : 1

There's 1,5 black cards for each red card

If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

Given that principal amount is $500 , years are 6 and rate of interest be 7%.

We are required to find the amount that we have to pay after 6 years if we borrow $500.

Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.

Sum after compounding is given as under:

S=P[tex](1+R)^{N}[/tex]

So we have to just put the values to find the money that we have to pay after 6 years.

S=500[tex](1+0.07)^{6}[/tex]

=500[tex](1.07)^{6}[/tex]

=500*1.5

=$750

Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

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Answer:

The answer to number one is 11√17

The answer to number two is 4

Step-by-step explanation:

In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.

In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

Lets do this step by step

Step-by-step explanation:

I hope this helps

Answer:

-14

Step-by-step explanation:

To solve for x, you would first need to add 10 to both sides. Then you would get -3x-10+10=32+10. Then we simplify that to get, -3x=42. Then, you would divide both sides by -3, to get x=-14

Answer:

100.48

Step-by-step explanation:

Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 =  100.48.

Answer:

B

Step-by-step explanation:

The slope is negative since the line decreases from left to right. This means  that the slope is -1/3.

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

Answer:

C

Step-by-step explanation:

PLATO

So, sin E=0.5. Therefore, option C is the correct answer.

Given that, AB║DE and sinA= 0.5.

We need to find the value of sin E.

The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.

Now, sinA = 0.5

⇒∠A=30°

∠A=∠E=30° (∵∠A and ∠E are alternate angles)

Therefore, option C is the correct answer.

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Answer:

1.B

2.C

3.D

4.

a)1/9

b)5/12

5.2/5

Step-by-step explanation:

1.

Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.

2.

Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.

3.

Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.

4.

a)

For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.

If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.

b)

All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.

5.

The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.

Hope this helps!

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

Answer:

The first one

Step-by-step explanation:

The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament

Answer:

#14) x is 95 (155-180= 25, 180-25-60= 95)

#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)

Answer:

It is complementary.

Step-by-step explanation:

It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees.     Supplementary angles : Angles that are next to each other adding up to 180 degrees.

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

Answer:

s=-4

Step-by-step explanation:

Bring the S to one side and the numbers to the other

-11/4s=11

Then just divide, but when dividing fractions you have to switch the fraction so..

s=11*(-4/11)

s=-4

Answer:

2x+3

Step-by-step explanation:

+3 " three more than"

2x " the product of two and a number"

2x+3 " three more than the product of two and a number"

Answer:

20

Step-by-step explanation:

You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.

Answer:

322

Step-by-step explanation:

The question explains that the total of both test tubes and beakers were

= 2390.

If 1034 of them were test tubes, then the number of beakers bought,

= 2390 - 1034

= 1356.

The question requires the answer to how many more beakers than test tubes were bought, and this would mean subtracting the number of beakers from the number of test tubes.

= 1356 - 1034

= 322

Therefore, 322 more beakers than test tubes were bought.

Answer:

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]

Answer:

1) D.

2) A

Step-by-step Explanation:

1) [tex]7^{-2}[/tex]

= [tex](\frac{1}{7})^2[/tex]

2) [tex](\frac{2}{3})^{-3}[/tex]

= [tex](\frac{3}{2})^{3}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

got it right on plato

Answer:

0

Step-by-step explanation:

hopes this helps may yall like and give me 5 stars

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]

Answer:

the answer is 15:75

Step-by-step explanation:

(1+5)=6

£90/6=15

So, (1×15):(5×15)

=15:75

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7