What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.) a. 7/20 b. 2/5 c. 9/20 d. 1/2 Please select the best answer from the choices provided A B C D

Answer:

Given :

The diagonal of a rectangle is 2 ✓13 cm.

The length and breadth are in the ratio

3:2.

To find :

The Area of the rectangle.

Solution :

Given that

The ratio of the length and breadth of a rectangle = 3:2

Let they be 3X cm and 2X cm

We know that

The diagonal of a rectangle = √(1²+b³)

units

The diagonal of the rectangle

= √[(3X)³+(2X)³] cm

= √(9x³+4x²) cm

=> √(13X²) cm

=> √13 X cm

According to the given problem

The diagonal of the rectangle = 2√13 cm

=> ✓13 X = 2 √13

=> X = 2√13/√13

=> X = 2 cm

If X = 2 cm then 3X=3(2) = 6 cm

If X = 2 cm then 2X = 2(2)=4 cm

Length = 6 cm

Breadth = 4 cm

We know that

Area of a rectangle = length breadth sq.units

Area of the given rectangle = 6 cm x 4 cm

= 24 cm²

Answer:

11y+22

Step-by-step explanation:

Answer and Step-by-step explanation:

For this equation, you need to use the distributive property. Before we can solve this, we need to know what the distributive property is. (Important:) The distribute property is where a number is directly outside the parenthesis and is multiplied to each number inside the parenthesis.

With that being said, let's rewrite this expression. Because 11 is outside the parenthesis, multiply it to each of the numbers inside the parenthesis. The numbers 11 x 2 = 22, so:

(y + 2)11 = 11y + 22.

We can remove the parenthesis now that the equation has changed. The reason why the 11 is in front of the y is because it is a coefficient. Coefficients always are written before a variable, which is the y in this case.

So, the answer is 11y + 22.

I hope that this helps.

Answer:

cosine=-1/2

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

Answer:

Step-by-step explanation:

a = [tex]\frac{5*10^2}{2}[/tex] = 250

b = [tex]\frac{2*10^2 (10-5)}{10*10}[/tex] = 10

Answer:

A = 500

[tex]b = 2 {x}^{3} - \frac {{x}^{2} }{10} [/tex]

Answer:

−9583333/10000000

Step-by-step explanation:

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Answer:

1/27

Step-by-step explanation:

If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y

They gave us that x is -3 (the first number in an ordered pair is the x).

y = 3^x

y = 3^(-3)

y = 1/(3^3)

**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**

y = 1/27

Because3^3 is 3×3×3 is 27

Answer:

30 Monkeys 50 trees

explanation:

Your welcome

The number of monkeys in the trees is 24.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

The number of monkeys in the trees = 60% x 40

= 0.6 x 40 = 24

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

4 ( x - 5 ) x ( x + 5 )

Step-by-step explanation:

1- Factor the expression

2- Factor the expression

Answer:

They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.

Step-by-step explanation:

4x^2 -100

[tex]4(x ^{2} - 25)[/tex]

This would be finding the Greatest common factor

[tex]4(x - 5)(x + 5)[/tex]

This would be finding the difference of two squares

hopefully this is a good enough explanation

Answer:

A

Step-by-step explanation:

f - g = (3x - 2) - (2x + 1) = x - 3

A

Proper latex may not appear in website then see attached picture!

[tex] \tt \looparrowright \: 2 {b}^{3} + 5 = 2 {(3)}^{3} + 5[/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \: 2 {b}^{3} \cancel{ + 5} = 2 {(3)}^{3} \cancel{ + 5}[/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \: 2 {b}^{3} = 2 {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright \cancel 2 {b}^{3} = \cancel 2 {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright {b}^{3} = {(3)}^{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \tt \looparrowright {b} = 3[/tex]

Answer:

1/6 or 16.7%

Step-by-step explanation:

1 (herself)

5 (her friends)

1 + 5 = 6

1/6 ≃ 0.167 ≃16.7%

Hope this helps!

Answer:

a)9/14

b)5/14

Step-by-step explanation:

For the past two weeks, Benita has been recording the number of people at Eastside Park at lunchtime

Answer:

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers  (-∞, ∞)

Step-by-step explanation:

Domain : the set of possible x-values (the "input" values)

Range : the set of y-values (the "output" values)

The domain of the relation is 0 ≤ x ≤ 4

The range of the relation is all real numbers (-∞, ∞)

How to identify domain and range from coordinate pairs?

Here

Here range is

Answer:

34 6/25

Step-by-step explanation:

A mixed number is a whole number in front of a fraction. Keep 34 as the whole number. .24 is really 24/100, but you can simplify it to 6/25.

Answer:

1 / 5^7 the last one is correct

Answer:

I checked and the person above is correct

Answer:

9n=3(4)n  

Step-by-step explanation:

The farmer has a very insufficient way of farming he is a fake farmer if he only plants 3 crops a row and than 12 in the next he most likely has no pattern but if we do trigonometrically mitochondria math we can figure out that his patter does exist but only to him. since the farmer goes but he goes up by four cuz 3 x 4 is a number 12 and than 12 x 4 is 48 which the farmers produce will all die on his crusty land.  

Answer:

[tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

Step-by-step explanation:

→ [tex]49-2ax-a^2-x^2[/tex]

→ [tex]-(x^2+a^2+2ax-49)[/tex]

→ [tex]-\left(\left(2xa-49\right)+\left(x^2+a^2\right)\right)[/tex]

→ [tex]-\left(2xa-49+x^2+a^2\right)[/tex]

→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

→  [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]

Answer:

Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime factorization: 30 = 2 x 3 x 5.

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime facto...... 30 = 2 x 3 x 5.

sorry if im  wrong and have a wonderful day!!!!!

Answer:

The mean is 321.67 which can be rounded to 321.7 or 322

Step-by-step explanation:

360+310+280+330+310+340 = 1930

1930 / 6 = 321.666666667

The mean is 321.67 which can be rounded to 321.7 or 322

Hope this helps!

Answer:

25 hours

Step-by-step explanation:

119.5 yards divided by 4.78 yards per hour = 25 hours

Using improper fractions, it is found that the percent of increase in the temperature of the solution was of 76.08%.

The conversion is made according to the following formula:

[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]

In this problem, the initial temperature was given by:

[tex]9\frac{4}{5} = 9 + \frac{4}{5} = 9.8[/tex]

The final temperature was given by:

[tex]17\frac{1}{4} = 17 + \frac{1}{4} = 17.25[/tex]

The percent change is given by the change divided by the initial temperature, and multiplied by 100%. Hence:

[tex]C = \frac{17.25 - 9.8}{9.8} \times 100\% = 76.02\%[/tex]

To learn more about improper fractions, you can take a look at https://brainly.com/question/24606703

Answer:

  22

Step-by-step explanation:

Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...

  (3x +45) > (7x -45)

  90 > 4x . . . . . . . . . . . add 45 -3x to both sides

  22.5 > x . . . . . . . . . . divide by 4

The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.

_____

Additional comment

If Jake normally delivers more than 45 papers, then we must also have ...

  7x > 45

  x > 6 3/7

There must be at least 7 houses on each street.

Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

Answer:

Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.

Step-by-step explanation:

hope it helps you

Answer:

2 8

3 27

4 64

5 125

6 204

7 343

8 512

9 729

10 1000