The photography club has 28 members .there are 12 boys in the club . What is the ratio of boys to girls in simplest form?

Answers

Answer 1
First, find the # of girls.  28 total members, less 12 boys, leaves 16 girls.
Write the ratio boys/girls as 12/16.  Reduce this to 3/4.

Related Questions

What are the diminshens of a cube with the volume of 216?

Answers

To answer this,f ind the cube root of 216:  It is 6.

The dimensions of the cube are 6 by 6 by 6.

Every two years, a manufacturer's total yearly sales decline 20%. She sells 400 total units in her first year. Rounded to the nearest unit, how many total units will she sell her ninth year?

Answers

[tex]\bf \textit{Periodic Exponential Decay}\\\\ A=I(1 - r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ p=period \end{cases}[/tex]

we know, the first year she sold 400 units, thus year 0, 400 units, t = 0, A = 400.

[tex]\bf \textit{Periodic Exponential Decay}\\\\ A=I(1 - r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\to &400\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &0\\ p=period \end{cases} \\\\\\ 400=I(1-r)^{\frac{0}{p}}\implies 400=I\cdot 1\implies 400=I[/tex]

therefore then

[tex]\bf \textit{Periodic Exponential Decay}\\\\ A=I(1 - r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &400\\ r=rate\to 20\%\to \frac{20}{100}\to &0.20\\ t=\textit{elapsed time}\\ p=period\to &2 \end{cases} \\\\\\ A=400(1-0.2)^{\frac{t}{2}}[/tex]

now, how many units will it had decreased by the 9th year?  t = 9

[tex]\bf A=400(1-0.2)^{\frac{9}{2}}[/tex]

146.54 units are the total units will she sell her ninth year.

Here, we have,

periodic exponential decay is:

[tex]A = I(1-r)^{t/p}[/tex]

where,

A = amount

I = initial amount

r = rate

t = time

p = period

we know, the first year she sold 400 units,

thus year 0, 400 units, t = 0, A = 400.

so, we get,

periodic exponential decay is:

[tex]A = I(1-r)^{t/p}[/tex]

=> 400 = I × 1

=> 400 = I

therefore then, when, rate = 20 %

we get,

periodic exponential decay is:

[tex]A = I(1-r)^{t/p}[/tex]

[tex]= > A = 400(1-0.2)^{t/2}[/tex]

now, how many units will it had decreased by the 9th year?  t = 9

so, we get,

[tex]= > A = 400(1-0.2)^{9/2}[/tex]

=> A = 146.54

Learn more about exponential function here:

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Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 players on the team now. The expression below represents the percent of experienced players on the team after the coach adds x experienced players.

100(x+4)/x+10

What is:
a. Original ratio of experienced to total players
b. Final ratio of experienced to total players
c. Final total number of players

Choices

4/10
x+10
4
10
x+4/x+10

Answers

Part A:

Given that forty percent of the players on a soccer team are experienced players.

Then, the original ratio of experienced to total players is given by 40/100 = 4/10



Part B:

Given that the expression [tex] \frac{100(x+4)}{x+10} [/tex] represents the percent of experienced players on the team after the coach adds x experienced players.

Then, the final ratio of experienced to total players is given by:

[tex] \frac{\frac{100(x+4)}{x+10}}{100} =\frac{x+4}{x+10}[/tex]



Part C:

Given that there are 10 players on the team now, and that the coach adds x experienced player, then the number of players on the team now is given by:

10 + x.

Find the parabola of the form y = ax2 + b which best fits the points (1, 0), (3, 2), (4, 4) by minimizing the sum of squares, s, given by

Answers

S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2 98a+14b-44=0 14a+3b-6=0 a=24/49, b=-2/7 y = (24/49)x^2-(2/7)

Factorise 2b squared - 2b

Answers

2b^2 - 2b

2b(b - 1) is your answer

hope this helps

a certain game involves tossing 3 fair coins. it pays 28 cents for 3 heads, 16 cents for 2 heads, and 4 cents for 1 head. what is a fair price to play this game?

Answers

Final answer:

The fair price to play this game is 10.5 cents.

Explanation:

To find the fair price to play this game, we need to calculate the expected value. The expected value is calculated by multiplying each outcome by its probability and summing them up.

Let's calculate the expected value:

Probability of getting 3 heads: 1/8 (since there are 8 possible outcomes)Payout for 3 heads: 28 centsProbability of getting 2 heads: 3/8Payout for 2 heads: 16 centsProbability of getting 1 head: 3/8Payout for 1 head: 4 cents

Now, we calculate the expected value:

(1/8) * 28 + (3/8) * 16 + (3/8) * 4 = 3.5 + 6 + 1 = 10.5 cents

Therefore, the fair price to play this game is 10.5 cents.

solve 20p−60 using GCF

Answers

Greatest common factor between each term is 20, so you'd divide both by 20 to reduce this to 20(p - 3). 

The number of gallons of coffee a mathematician drinks on any given day is inversely proportional to how much sleep he gets the night before. On Monday, he got 9 hours of sleep and drank 2 gallons of coffee. On Tuesday, he got 6 hours of sleep. How many gallons of coffee did he drink?

Answers

Have to use up some characters

Can I have help on number 16 and please explain how you got the answer

Answers

The area of the rectangle is defined as its length multiplied by its width. This rectangle has a length of 3 ft and a width of (c + 4) ft, so its area would be [tex]3(c+4)[/tex] feet. Using the distributive property, we can simplify this to:

[tex]3c+3(4)\\ 3c+12[/tex]

So the area of this particular rectangle would be 3c + 12 sq. ft

2005 months = how many liters

Answers

Hello!

I think you meant mililiters instead of months.

1 ml = 0.001 L

2005 ml = 2.005 L

And there's your answer! ^

I hope you found this helpful c:

Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2

Answers

(2x² +3x -4) + (8 -3x) + (-5x² +2)

= x²(2 -5) +x(3 -3) +(-4 +8 +2)

= -3x² +6


_____

The process here is called "collecting terms", which means you add the coefficients of "like" terms. Terms are "like terms" when they have the same constellation of variables. Here, there are three different kinds of like terms:

• x² terms

• x terms

• constants

This process is an application of the distributive property, as you can see on the second line of the solution above.

Alan sells custom made kites online. He makes a flat profit of $20 per kite, but he pays $20 per day for his website. Write an inequality that gives the number of kites Alan needs to sell to make at least $900 per week?

Answers

20x+20y=900
I hope that helps. You'll have to isolate each variable. X= kite, y=website.

Profit on each kite that Allan sells= $ 20 per kite

Amount paid by Allan for his Website = $ 20 per day

Let number of kites sold by Allan per day = x

In 7 days , number of kites sold = 7 x

Amount paid by Allan for his Website in 7 seven days = 20 × 7=$140

We have to make an equality describing number of kites Alan needs to sell to make at least $900 per week.

The Inequality is

→20×7 x -140 ≥ 900

→ 140 x ≥ 900 + 140

→ 140 x ≥1040

→ 7 x ≥ 52 (Minimum number of kites that allan should sell in a week)

Dividing both sides by 140,we get

→ x ≥ [tex]\frac{1040}{140}=7.43[/tex]= 8 kites in a day(approx)




Which rational number is equivalent to the expression 69 2/9 - 31 1/9 - ( -12 4/9) ?

Answers

The rational number equivalent to the given expression is 50 5/9.

The given expression is [tex]69\frac{2}{9} -31\frac{1}{9} -(-12\frac{4}{9} )[/tex].

How do add and subtract rational numbers?

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

Now, [tex]69\frac{2}{9} -31\frac{1}{9} +12\frac{4}{9}[/tex]

[tex]=(69-31+12)(\frac{2}{9}-\frac{1}{9}+\frac{4}{9})[/tex]

=50 5/9

Therefore, the rational number equivalent to the given expression is 50 5/9.

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The u.s. per capita chicken consumption for 2007 was 90.6 pounds. assume this consumption is normally distributed with a standard deviation of 17.2 pounds. assume n infinite. what is the probability that a sample taken of 100 individuals shows an average consumption of less than 90 pounds of chicken?

Answers

To solve this, we need to use the z statistic. The formula for z score is:

z = (x – u) / s

where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2

 

z = (90 – 90.6) / 17.2

z = -0.035

 

From the standard distribution tables:

P (z = -0.035) = 0.4860

 

Therefore there is about 48.60 % chance that it will be less than 90 pounds

Dan earns $8.25 an hour and works 20 hours a week. How much will he earn in three weeks?

Answers

Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.
Dan will earn $495 in three weeks.

Answer:

Step-by-step explanation:

Okay. So first 8.25 * 20 = 165. Then you multiply 165 by 3 (165*3). 165 * 3 = 495.

Dan will earn $495 in three weeks.

steps to solve this equation 25 1/7- 12 5/7=

Answers

[tex] \frac{25*7+1}{7} - 12 \frac{5}{7} [/tex]

[tex] \frac{175+1}{7} - 12 \frac{5}{7} [/tex][tex] \frac{176}{7} - \frac{12*7+5}{7} [/tex]

To solve the equation 25 1/7 - 12 5/7, subtract the whole numbers and fractions separately, and combine them back into a mixed number to get the solution, which is 12 3/7

To solve the equation 25 1/7 - 12 5/7, follow these steps:

First, break the mixed numbers into whole numbers and fractions: (25 + 1/7) - (12 + 5/7).Next, subtract the whole numbers: 25 - 12 = 13.Subtract the fractions: 1/7 - 5/7. Since the denominators are the same, simply subtract the numerators: 1 - 5 = -4. This gives us -4/7, but since we can't have a negative fraction in this context, we'll take 1 away from the whole number 13 and convert it to 7/7, to make the equation easier to solve.Now you have 12 (since we took 1 from 13) and 7/7 - 4/7, which equals 3/7.Add the whole number and the fraction: 12 + 3/7 = 12 3/7.

The solution to the equation is 12 3/7

What is the answer to the problem below?

Solve the system of equations graphically.

x=3
y=4

Answers

Hi there!

They already give us the answer, which is (3,4). So all we have to do is graph it on the graph. 3 is for x and 4 is for y.

Check the picture below.
Here we're given the solution on a silver platter:

(3,4)

You could solve this graphically by graphing the vertical line x = 3 and the horiz. line y = 4.  A visual check would show that these two lines intersect at (3,4).

What is the expanded notation for 2.918?

Answers

 2 + 0.9+ 0.01+ 0.008

I hope this helps.

An unordered list can use one of four different bullet options: disc, square, circle, or triangle.

Answers

Final answer:

The question involves creating unordered lists with various bullet options such as disc, square, circle, and triangle. While disc, square, and circle are commonly available, the triangle may need to be created as a custom bullet option in advanced editors. The process includes selecting the Bullets icon in the Paragraph section and choosing or customizing the bullet style.

Explanation:

The question refers to the process of creating unordered lists in document editing or web development environments, where you have the option to format lists using different types of bullets. When you want to organize information without a specific order of importance, an unordered list can be used. These lists are often formatted with bullet points to improve readability and structure.

Steps to Create an Unordered List with Different Bullet Options:

Go to the Home menu item.

In the Paragraph section, select the Bullets icon for unordered lists.

To choose a different bullet format, select the arrow beside the icon.

Select a format from the format Library that appears in the drop-down menu. Common bullet styles include disc, square, and circle. However, the question mentions 'triangle' which is not a standard option in most document editors but can be created as a custom bullet in some advanced editing tools.

Using different bullet styles like disc, square, and circle can help distinguish or organize your content more effectively. While the 'triangle' option might not be directly available, it represents the possibility to define new custom bullets, adding a unique aspect to your document's design.

Calculate the probability of getting exactly 50 heads and 50 tails after flipping a fair coin 100 times.

Answers

From the binomial distribution we get:
[tex]P(50H,\ 50T)=100C50\times0.5^{50}\times0.5^{50}=0.07959[/tex]

Rochelle found the quotient of an integer, x, and 13. Is her quotient a rational number

Answers

It helps, in this case, to ask what exactly a rational number is, and how they come up. The various number systems we work with in math come up in response to different kinds of algebraic problems. The natural numbers (sometimes abbreviated N) are the most basic, and they include all of the "counting numbers" you learn in early gradeschool - 1, 2, 3, 4, etc. - and occasionally 0. If we add or multiply any two natural numbers together, we get another natural number, so we don't need to worry about creating any new numbers when we're just working with those operations. Subtraction poses a few issues, though. If we take an expression like 3 - 4, our answer is going to be outside of N. Rather than throwing our hands up and calling it a day at this point, we create a new set of numbers to deal with this situation.

The integers (abbreviated Z) contain all of the natural numbers, and add negative numbers, too (-1, -2, -3, etc.). Multiplication, addition, and subtraction work fine now, and no matter which integers we use, those operations will always give us back another integer. It's not all perfect, though; division gives us a bit of a hassle now. Expressions like 6/3 are fine, since they just produce another integer (2, in this case), but there's no integer result for something like 2/5 or 3/8, so again, we have to create a new set of numbers to compensate.

That set of numbers is what we refer to as the rational numbers (abbreviated Q), named after the fact that all of them are expressed as ratios. By expanding our number system with these, we gain the ability to express every integer as a rational number by putting it over 1 (6 = 6/1, 5 = 5/1, etc.).

So, getting back to the original question, "is the quotient of an integer x and 13 a rational number?" Yes. The quotient of two integers can always be represented as a rational number.

Simplify each expression (combine like terms)

17x+12-13x

-35+17-3w+12w

Answers

the first one is 4x+17 and the second one is 9w-18
For the first one the answer is 4x+12



And for the second one - 18+9w

Jose is now six years older than John. In two years, Jose will be twice as old as John. How old is John now?

Answers

John is four, and Jose is ten.

x + 6 =y

8 =2y ........ y = 8/2 = 4

4+6 =10


John is four & Jose is 10


DOES ANYONE HAVE A WORD PROBLEM FOR [5+10] DIVIDED BY 5 this is 5th grade math by the way

Answers

The answer is going to be (5+10)/5. Hope that helped
Billy's mom bought 5 pieces of candy in one store and 10 more pieces of the same candy in another store. Billy had 4 friends with him, so there are 5 kids altogether. His mother wants to distribute the candy by all the kids. How many pieces of candy does each kid get?

Start at 5. Create a pattern that multiplies each number by 3 and subtracts 2. Stop when you have 5 numbers.

Answers

without subracting 2 from 5 i have 12, 34, 100, 298, and 892, but with subracting 2 from 5, I have 3, 7, 19, 55, 169 since i was kinda confused

Answer: The required pattern is 13, 37, 109, 325, 973

Step-by-step explanation:

Since, each number in the sequence follows the following rule,

2 less than the 3 times of the previous number.

If we start from 5,

Then first number of the sequence = 3×5 - 2 = 15 - 2 = 13

Second number = 3× 13 - 2 = 39 - 2 = 37

Third number = 3× 37 - 2 = 111 - 2 = 109

Fourth number = 3×109 - 2 = 327 - 2 = 325

Fifth number = 3× 325 - 2 = 975 - 2 = 973

Hence, The required sequence is,

13, 37, 109, 325, 973

State restrictions on the variable.

Answers

There's one unforgivable taboo that transcends just about every branch of mathematics, and that's dividing by zero. Division by zero is undefined, so any fraction with a zero in its denominator is by definition absurd. For what values of x would the denominators on either of those fractions be zero? Those will define the restrictions on your variable.

4r+3=r+21

How do I do this?

Answers

You first:
4r+3-3=r+21-3
4r=r+18 
4r-r=r-r+18
3r=18
3r/3=18/3
r=6
remember that what you do in one side, do it in the other
simplify: 4r + 3 = r + 21, then reorder the terms: 3 + 4r = r + 21.
Reorder the terms 3 + 4r = 21 + r. Solve: 3 + 4r = 21 + r. 
Move all terms containing r to the left, all other terms to the right.
Solving for variable 'r'.
 Add '-1r' to each side of the equation. 3 + 4r + -1r = 21 + r + -1r.
 Combine like terms: 4r + -1r = 3r3 + 3r = 21 + r + -1r
 Combine like terms: r + -1r = 0 3 + 3r = 21 + 0 3 + 3r = 21
 Add '-3' to each side of the equation. 3 + -3 + 3r = 21 + -3
 Combine like terms: 3 + -3 = 0 0 + 3r = 21 + -3 3r = 21 + -3
 Combine like terms: 21 + -3 = 18 3r = 18
Divide each side by '3'. r = 6 Simplifying r = 6

A Rectangular prisim is completely packed with 200 cubes of edge length 1/5in without any gap or overlap. Which of these best describes the volume of this rectangular prism?

Answers

Final answer:

The volume of the rectangular prism completely packed with 200 cubes of edge length 1/5in is approximately 1600 cubic inches.

Explanation:

The volume of a rectangular prism can be found by multiplying the length, width, and height of the prism. In this case, the prism is completely packed with cubes of edge length 1/5in. Since there are 200 cubes, the length, width, and height of the prism would be the number of cubes in each respective direction. Therefore, the volume of the rectangular prism is:

(200 cubes in length) x (200 cubes in width) x (200 cubes in height) x (1/5in cube)^3

To simplify the calculation, we can express the volume in terms of the number of cubes:

200 x 200 x 200 x (1/5)^3 in³

Converting the units, we find that the volume of the rectangular prism is approximately 1600 cubic inches.

Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches.

A) 36π in. ^ 3
B) 48π in. ^ 3
C) 52π in. ^ 3
D) 64π in. ^ 3

Answers

B is the correct answer

"unable to determine because x can't take on the value 5.5"

Answers

                    k
   f(x) = -------------------
                x - (5.5)

is an example where there's no finite limit if x approaches 5.5.
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