A box contains only red yellow and green jelly beans. The number of red jelly beans 4/5 of the number of green jelly beans 3/4 the number of yellow ones. If there are 470 beans in total, what's the probability of picking yellow?

The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).

When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.

Let's take an example to illustrate this. Consider the number 'n' with prime factorization:

[tex]n = p^r * q^s * ... * z^w,[/tex]

where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.

To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.

The total number of factors can be calculated using the formula:

(r + 1) * (s + 1) * ... * (w + 1)

This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.

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Answer:

correct answer is 4

Step-by-step explanation:

Answer:

Yes, y = 2x

Step-by-step explanation:

I took it on edge and got it right!!!

There will be definitely a direct relation and the relation will be y = 2x.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Proportion is very useful to set relations between variables.

Given that the prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, and the number of text messages sent and received

so it is clear that cell phone charge upon the number of minutes to use text messaging hence y = 2x will be the correct answer.

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Answer:

Correct option is:

A.Multiplication Property of Equality

Step-by-step explanation:

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).

Here, we are given a equality:

x= -2

Now, on multiplying both sides by 5, the equality will be preserved

i.e. 5x= -2×5

i.e. 5x= -10

Hence, Correct option is:

A.Multiplication Property of Equality

The property of equality that justifies the given statement is the Multiplication Property of Equality

The correct option is A.Multiplication Property of Equality

From the question,  we have that

If x=−2, then 5x=−10

The property of equality that justifies this statement is the Multiplication Property of Equality.

This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.

That is,

[tex]5 \times x = -2 \times 5[/tex], yields

5x=−10.

Hence, the property of equality that justifies this statement is the Multiplication Property of Equality

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Violet chewed 60 pieces of bubble gum in one week.

To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.

12 x 5 = 60

Therefore, Violet chewed 60 pieces of bubble gum in one week.

x = children

y = adults

1.50x +4.00y =5050

y = 1000

1.50x + 4.00(1000) = 5050

1.50x +4000.00 = 5050

1.50x= 1050

x = 1050 / 1.50 = 700 children atttended

The length of the other side is : 16cm

A right-angled triangle is a triangle with one of its angle 90 degrees and has two adjacent sides and a hypotenuse which is the longest side.

Analysis:

Since it is a right-angled triangle, we use Pythagoras theorem

[tex]hypotenuse^{2}[/tex] = [tex]opposite^{2}[/tex] + [tex]adjacent ^{2}[/tex]

hypotenuse = 20cm, opposite = 12cm, adjacent = xcm

[tex]20^{2}[/tex] = [tex]x^{2}[/tex] + [tex]12^{2}[/tex]

[tex]x^{2}[/tex] = 400 - 144

[tex]x^{2}[/tex] = 256

x = [tex]\sqrt{256}[/tex] = 16cm

In conclusion, the length of the other side is 16cm

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LMF = 17x

so 17x + 3x =180

20x = 180

x = 180/20 = 9

17 *9 = 153

angle LMF = 153 degrees

The graph of the complex number 4 + 2i corresponds to the point (4, 2) on the complex plane, with 4 as the real part and 2 as the imaginary part.

To identify the graph of the complex number 4 + 2i, you can think of it as a point on the complex plane. In the complex plane, the horizontal axis represents the real part of a complex number, and the vertical axis represents the imaginary part. So, for the complex number 4 + 2i, the real part is 4, and the imaginary part is 2.

Now, let's locate this point on the complex plane:

The real part (4) corresponds to the horizontal axis.

The imaginary part (2) corresponds to the vertical axis.

So, the point (4, 2) on the complex plane represents the complex number 4 + 2i. Therefore, the correct answer is (4, 2).

In summary, the graph of the complex number 4 + 2i corresponds to the point (4, 2) on the complex plane, where 4 is the real part, and 2 is the imaginary part.

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Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]

Step-by-step explanation: area of circle =[tex]\pi  r^{2}[/tex]

where r is the radius of circle

here r=9

to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3

so area of shaded region =area of circle÷3

                                            =[tex]\pi[/tex]×9×9÷3

                                            =27[tex]\pi[/tex] [tex]unit^{2}[/tex]

Answer:

Your Answer is C) 16

Step-by-step explanation:

Step 1: Find the number Tony sold.

24 ÷ 3 = 8

Step 2: Find how many more tickets were sold by Lori than Tony.

24 - 8 = 16

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The values of k that satisfy the equation 4y'' = -9y for the function y = cos kt are k = ±3/2.

This is a question in differential equations, where we are given a cosine function y = cos kt and asked to find values of k that satisfy the given equation 4y'' = −9y.

Recall, the second derivative of cos kt is -k²cos kt which is equivalent to -k²y.

Substituting that into the differential equation, we get 4(-k²y) = -9y. If we simplify this, we get k² = 9/4. Therefore, the values of k which satisfy the given equation are k = ±3/2.

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The values of k that satisfy the differential equation 4y'' = −9y are k = ±3/2.

We can find the values of k that satisfy the differential equation 4y'' = −9y by solving for k.

First, we can rewrite the differential equation in its general form:

ay'' + by' + cy = 0

where a = 4, b = 0, and c = -9.

Next, we can find the characteristic equation:

ar^2 + br + c = 0

Plugging in the values of a, b, and c, we get:

4r^2 + 0r - 9 = 0

Solving for r, we get:

r = ±3/2

Therefore, the general solution to the differential equation is:

y = Acos(3t/2) + Bsin(3t/2)

where A and B are arbitrary constants.

Finally, we can substitute y = cos kt into the original differential equation and solve for k:

4k^2cos kt + 9cos kt = 0

Dividing both sides by cos kt, we get:

4k^2 + 9 = 0

Solving for k, we get:

k = ±3/2

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