There are 18 girls and 24 boys who want to participate in a trivia challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter? Find how many boys and girls each team would have.

This prompt is about Scale Factors. The scale factors for the images given are:

When attempting to relate the dimensions of a scaled objects to those of the original objects, individuals often turn to ratios known as scale factors. These ratios have proven particularly useful in fields such as design, architecture, engineering, and modeling.

To get the scale factor (SF) of an image:

SF = size of scale drawing or image / size of original image

Here are the respective scale factors:

1) The scale factor 3/5in (This is already given)

To compute however we said :

SF = 0.75/ 1.25
SF = (3 /4) / (5/4

SF = 3/5in.

We repeat this process for problems 2-6 to obtain:

2: SF = 7/4
3: SF = 3/7

4: SF = 3/2
5: SF = 1/2
6: SF = 5/3

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Given

Since, double derivative is negative. So, x=2 gives the point of maxima.

And, the maxima is given as,

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Given:

The histogram shows the time students ran the mile in gym class.

Explanation:

a) To find: The interval contains the fewest data values.

The interval which contains the fewest data values is 9-10, Because, it has the data value 2.

Answer: The interval 9-10

b) To find: The number of students in the class.

The number of students in the interval 9-10 is 2.

The number of students in the interval 11-12 is 12.

The number of students in the interval 13-14 is 11.

The number of students in the interval 15-16 is 9.

So, the total number of students is 34.

c) To find: The percent of students who ran the mile in 12 minutes or less.

The number of students who ran the mile in 12 minutes or less is,

Then the percent of students who ran the mile in 12 minutes or less is,

Answer: The percentage is 41%.

Answer:

A. P = 50,200(1 + 0.09)2

Answer:

P = 50200(1+0.09)²

Step-by-step explanation:

To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier

We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!

This means that our equation would be P = 50200(1+0.09)²

Hope this helps, have a lovely day! :)

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer:

C. $2.50

Step-by-step explanation:

x=1 y=5.5

x=2 y=2.5

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

The graph of function y = (1/2)ˣ is shown in figure.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ y = (1/2)ˣ

Now, We can draw the graph of exponential function y = (1/2)ˣ.

Hence, The graph of function y = (1/2)ˣ is shown in figure

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A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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Answer:

Step-by-step explanation:

Notice that f(x) = ab would be a constant function, as 'x' does not appear on the right side.  If 'a' were increased by 2, the magnitude of f(x) would be increased by a factor of 2.  The domain of f(x) would not change; the range would be [a·(b+2)) (a single numeric value).

Answer: I think it $136

Step-by-step explanation:

Answer:

$136

Step-by-step explanation:

If Mr. Allenby spent $34 on 6 movies we know that each movie costed roughly $5.67

(34 / 6 = 5.666...)

Knowing this we can multiply $5.67 by 24 which equals $136

(5.666... x 24 = 136)

Answer: True

Step-by-step explanation:

The answer is D. Cost of U.S. postage as a function of the weight of the letter.

Answer:

The answer is B

Step-by-step explanation:

Did the practice on edge.

The percentage that can be filled with $3 in 1990 is: 29.41%

To calculate percentage growth rate:

Beginning:

Calculate the difference (increase) between the two numbers you are comparing. after that:

Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.  

We are told that it cost $3 to fill a gas tank as at 1970.

Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:

Cost of a gallon in 1970 = $0.36

Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank

Now, in 1990, the cost is $1.23 and as such:

Quantity that can be bought = 3/1.23 = 2.45 gallons

Percentage of tank filled = 2.45/8.33 * 100% = 29.41%

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Answer:

Step-by-step explanation:

The given sequence can be written as:

a_1 = 8

a_2 = 10

a_3 = 12.5

a_4 = 15.625

To find the recursive formula, we need to find the common ratio (r) between consecutive terms:

r = a_2 / a_1 = 10 / 8 = 1.25

r = a_3 / a_2 = 12.5 / 10 = 1.25

r = a_4 / a_3 = 15.625 / 12.5 = 1.25

Since the common ratio is constant, we can use the formula for a geometric sequence to find the recursive formula:

a_n = r * a_{n-1}

Substituting r = 1.25 and a_1 = 8, we get:

a_n = 1.25 * a_{n-1}

Therefore, the recursive formula for the given sequence is:

a_n = 1.25 * a_{n-1}, with a_1 = 8.

Answer:

28 days

Step-by-step explanation:

Day 1  = 3 m,  day 1 end = 3 - 1 = 2 m

Day 2 end = 2 + 3 -2 = 3m

Day3 end = 3 + 3- 2 = 3 +1 = 4m

On 27th day end = 26+ 3 - 2 = 27 m

On 28th day =27 + 3 = 30 m

The value of L is equal to 50.

In Mathematics and Geometry, a sequence refers to a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

Based on the pattern provided about the crosses, we can logically deduce that the middle term is a sum of all the outer four terms, and then multiplied by 2 as follows;

2 + 5 + 5 + 4 = 16 × 2 = 32

4 + 3 + 5 + 0 = 12 × 2 = 24

8 + 1 + 2 + 3 = 14 × 2=28

4 + 6 + 8 + 7 = 25 × 2 = 50

Therefore, L = 50.

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Complete Question:

Look at the values ​​of the crosses and find the value of L.

Answer:

7 + 1 + 1 + 1 = 10

Step-by-step explanation:

This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.

Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:

7 + 1 + 1 + 1 = 10

By adding 7 with three instances of 1, you obtain 10.

Answer:

4.50

Step-by-step explanation:

thats really easy bro just divide $13.50 by 3 and you get your answer

Answer:

1 =$4.50

Step-by-step explanation:

since all 3 cost $13.50 you divide 13.50 by 3 to find your total

We have to find the 80% confidence interval for a population proportion.

The sample size is n = 362 and the number of successes is X = 54.

Then, the sample proportion is p = 0.149171.

The standard error of the proportion is:

The critical z-value for a 80% confidence interval is z = 1.281552.

Then, the lower and upper bounds of the confidence interval are:

As the we need to express it as a trilinear inequality, we can write the 80% confidence interval for the population proportion (π) as:

Answer: 0.125 < π < 0.173

The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the two number be x and y

One integer is 5 less than another

So , x = y - 5  

x - y = -5   be equation (1)

And , sum of their squares is 277

So , x² + y² = 277   be equation (2)

On simplifying the equation , we get

( x - y )² = x² + y² - 2xy

Substituting the values in the equation , we get

( -5 )² = 277 - 2xy

2xy = 277 - 25

2xy = 252

And , ( x + y )² = x² + y² + 2xy

Substituting the values in the equation , we get

( x + y )² = 277 + 252

( x + y )² = 529

( x + y ) = 23   be equation (3)

Adding equation (1) and equation (3) , we get

2x = 18

x = 9

So , y = 14

Therefore , the value of x and y is 9 and 14 respectively

Hence , the equations are solved

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Answer:

65/100 that is the answer to this question

Answer:

f(-4) = -8

Step-by-step explanation:

Okay fo if f(n) is f(-4), then n = -4.

f(-4) = 3/4n - 5

f(-4) = 3/4 (-4) -5

f(-4) = -3 - 5

f(-4) = -8

Hope this helps and I hope u have an Amazing day!!

Answer:

µ = 38.2 wpm, = 36.8 wpm

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The value of x in the right triangle is 10.43 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in the triangle is 180 degrees. Therefore, let's find the value of x in the right triangle.

tan 41 = opposite / adjacent

opposite side = x

adjacent side = 12

Therefore,

tan 41° = x / 12

cross multiply

x = 12 tan 41°

x = 12 × 0.86928673781

x = 10.4314408538

Therefore,

x = 10.43 units

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