Washington High School has a total of 625 students. There are 250 girls in the school. What is the ratio of girls to boys at Washington High School?

A) 2:3
B) 2:5
C) 3.1
D) 3.2

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin  

Step-by-step explanation:

Assume that the mapping is like that in Fig. 1.

1. Reflection about x = -2

It looks like the first transformation is a reflection about the line x = -2

When you reflect a shape about a line, each point in the image is the same distance from the line of reflection as the corresponding point in the pre-image.  

The rule for reflection about a line x = h is (x,y) ⟶ (2h - x, y}

We can use the rule to calculate the coordinates of the first image.

\(\begin{array}{cc}\textbf{A} & \textbf{A"} \\(-5,5) & (1,5) \\(-2,5) & (-2,5) \\(-1,1) & (-3,1) \\(-4, 1) & (0,1) \\\end{array}\)

2. Rotation 90° clockwise about the origin

It looks like the second transformation is a 90° clockwise rotation about the origin.

The rule is (x,y) ⟶ (y,-x).

In other words, interchange x and y and make x negative.

\(\begin{array}{cc}\textbf{A"} & \textbf{A'} \\(1,5) & (5,-1) \\(-2,5) & (5,2) \\(-3,1) & (1,3) \\(0, 1) & (1,0) \\\end{array}\)

These are the coordinates of P'Q'R'S'.

Figure 2 shows the reflection of A across the line x = -2 to give A" and its rotation to give A'.

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin

Step-by-step explanation:

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

Given a finite set S and a total order R on S, we want to prove the existence of a mapping ƒ:S→R such that ƒ(x)≥ƒ(y) if and only if xRy. In other words, the mapping ƒ preserves the order relation R.

Since R is a total order on S, it means that for any two elements x, y ∈ S, either xRy or yRx holds.

To prove the existence of the mapping ƒ, we can define it as follows: for each element x ∈ S, we assign a unique value ƒ(x) in R such that ƒ(x) is greater than or equal to the values assigned to all elements y ∈ S for which yRx.

Let's assume that S contains n elements. We can order the elements of S as x1, x2, ..., xn. Now, we can assign values from R to each element in a way that respects the order relation R. For instance, we can assign the smallest element in R to x1, the second smallest element to x2, and so on. This ensures that ƒ(x)≥ƒ(y) if xRy.

Conversely, if ƒ(x)≥ƒ(y), it implies that the assigned value to x is greater than or equal to the assigned value to y. Since the values assigned to the elements in S are unique, it means that x must be greater than or equal to y according to the order R.

Therefore, by defining the mapping ƒ in this way, we have proven the existence of a mapping that preserves the order relation R.

Learn more about relation here:

https://brainly.com/question/31111483

#SPJ11

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

The probability of getting candy is 1/5.

Let's assume that there are 5 possible paths to take in the maze and only 1 of those paths leads to the candy.

Therefore, the probability of a student getting candy at the end of the maze is:

1/5 or 0.2 or 20%.

We used the classical probability model because there are a limited number of possible outcomes that are equally likely to occur.

In this case, the probability of getting candy is the ratio of favorable outcomes (1) to total outcomes (5).

Therefore, the probability of getting candy is 1/5.

https://brainly.com/question/31828911?referrer=searchResults

#SPJ11

The dimensions of the document using the given scales are:
1/4 scale: 5 inches by 8.5 inches
1/2 scale: 10 inches by 17 inches

The dimensions of the document using the given scales are:
1/4 scale: 5 inches by 8.5 inches
1/2 scale: 10 inches by 17 inches
3/4 scale: 15 inches by 25.5 inches
1 scale: 20 inches by 34 inches
1 and 1/2 scale: 30 inches by 51 inches.

To find the dimensions of the document using the given scales, we need to multiply the original dimensions by the scale factor.

For a scale of 1/4, we multiply the original dimensions (20 inches by 34 inches) by 1/4.
So, the dimensions would be (20 * 1/4) inches by (34 * 1/4) inches, which simplifies to 5 inches by 8.5 inches.

For a scale of 1/2, we multiply the original dimensions by 1/2.
So, the dimensions would be (20 * 1/2) inches by (34 * 1/2) inches, which simplifies to 10 inches by 17 inches.

To know more about remain visit :

https://brainly.com/question/30559543

#SPJ11

Answer:

y = 4 root 3, x = 8

Step-by-step explanation:

Answer:

12 or 24 apples.

Step-by-step explanation:

If you can divide the apples evenly among 4 children, then you can automatically divide them among 2 children (since 4 is a multiple of 2). Therefore, the possible number of apples that the box could contain are given by:

\(n_1 = 3*4 = 12\ apples\\n_2 = 3*4*2 = 24\ apples\)

The box could contain 12 or 24 apples.

Answer:

12 or 24 because they are divisable by 2 3 and 4

Step-by-step explanation:

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Violet's money tripled Dylan's money to triple= 23,249.95.

Dylan invested $6,100 in an account paying an interest rate of 2% compound.

Violet invested $6,100 in an account paying an interest rate of 2%

compound.

The formula for compound amounts is A = P(1 + r/n)^(nt),

where n is the number of compounding periods per year, t is the number of years, P is the initial amount invested and r is the annual interest rate as a decimal fraction.

Here,

A = ($6100)(1 + 0.02/4)^(12*4)

Evaluating this we get:

A = ($6100)(1.005)^48, or

A  = ($6100)(`1.2704)

A = $7,749.98

Violet's money to triple than for Dylan's money to triple

=3(A)=3*7749.98=23249.95.

To know more about compounds interest:

https://brainly.com/question/16526890

#SPJ4

Answer:

14 1/2 fruits

Step-by-step explanation:

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

answer:

40°

step by step:

93°+47° (i think the circle at the bottom says 47)=140°

180° ( as the angles in a triangle must add up too 180°) - 140° = 40°

1/4 of the flour was used for the muffins and 5/6 of the remaining flour was used for the cake.

Let's call the total amount of flour in the bag "x".

The amount used for the muffins is 1/4 of the total bag, or x/4.

The amount used for the cupcakes is twice as much as for the muffins, or 2 * x/4 = x/2.

The amount used for the muffins was 3 times as much as for the cupcakes, so 3 * x/2 = 3x/2 grams of flour were used for muffins.

The amount used for the cake was 256.5 grams more than the muffins, so x/4 + 256.5 = 3x/2.

Solving for x, we find that x = 2048 grams.

So, 1/4 of the flour was used for the muffins, or 2048 * 1/4 = 512 grams.

And 5/6 of the remaining flour was used for the cake, or (2048 - 512) * 5/6 = 1024 grams.

learn more about total amount: https://brainly.com/question/16922042

#SPJ1

The solution of the given system of equations 8x+3y=5 and 3x-2y=5 is x = 1 and y = -1

In this question we have been given a system of equations.

8x+3y=5                 ..........(1)

and 3x-2y=5           ..........(2)

We need to find the solution of the given system of equations.

As right hane side of both equations is equal, we equate LHS of both equations.

so, we get,

8x + 3y = 3x - 2y

⇒ 8x - 3x = - 2y - 3y

⇒ 5x = - 5y

⇒ x = - y                      .............(3)

By substituting x = - y in equation (1), we get,

8 ( - y ) + 3y = 5

⇒ - 8y + 3y = 5

⇒ - 5y = 5

⇒ y = - 1

Substitute above value of y in equation (3)

⇒ x = - (- 1)

⇒ x = 1

Therefore, x = 1 and y = -1 is solution of given equations.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

Answer:

7.6 repeating

23÷3=7.6 repeating it's a line over the 6

69 different cones are possible

Total number of flavors = 23

Total number of scoops in one cone = 3

Total number of different cones = 23*3 = 69

To learn more about How many different cones are possible refer to:

https://brainly.com/question/14104372

#SPJ2

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

To learn more about polynomials and closure property

https://brainly.com/question/27287760

#SPJ4

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

Read more about Equivalent fractions at: https://brainly.com/question/17220365

#SPJ1

g(3) is equal to 25.

g(9/8) is equal to 10.

To find g(3), we substitute x = 3 into the function g(x):

g(3) = 3^2 + 1

= 9 + 1

= 10

Therefore, g(3) is equal to 10.

To find g(9/8), we substitute x = 9/8 into the function g(x):

g(9/8) = 3(9/8)^2 + 1

= 3(81/64) + 1

= (3/1)(81/64) + 1

= 243/64 + 1

= 243/64 + 64/64

= (243 + 64)/64

= 307/64

To find g(3), we substitute x = 3 into the function g(x) = 3x^2 + 1. Simplifying, we get g(3) = 3(3)^2 + 1 = 9(3) + 1 = 27 + 1 = 28.

To find g(9/8), we substitute x = 9/8 into the same function. We have g(9/8) = 3(9/8)^2 + 1 = 3(81/64) + 1 = 243/64 + 1 = (243 + 64)/64 = 307/64.

Therefore, g(3) is equal to 28 and g(9/8) is equal to 307/64.

Learn more about  function from

https://brainly.com/question/11624077

#SPJ11

Answer:

$45/4hrs

Step-by-step explanation:

450/40 divide both sides with 10

Answer: 3.60

Step-by-step explanation:

Just multiply 1.80 *2 because the number of lemons are doubled.

Algebra is used to solve the mathematical problems, the total amount spent by Andy on lunches in this week is equals to $195.

Algebra is the branch of mathematics that use in the representation of problems or situations in the form of mathematical expressions. Mathematical ( arithmetic) operations say multiplication (×), division (÷), addition (+), and subtraction (−) are used to form a mathematical expression.

We have, a data of amount spent by Andy on lunches in a week. Let the total amount spent by him in this week be "x dollars". Using algebra of mathematics, we can written as x = sum of amounts spent by him in whole week so, x = $50 + $20 + $10 + $25 + $25 + $15 + $50 = $195

Hence, required total amount value is $195.

For more information about Algebra,

https://brainly.com/question/30687258

#SPJ4

Complete question:

Andy spent the following amounts on lunches this week,

day. amount

Sunday $50

Monday. $20

Tuesday $10

Wednesday $25

Thursday $25

Friday $15

Saturday $50

Calculate total amount he spent in this week.

Answer:

Find the answer is below.

Step-by-step explanation:

The answer is 33.

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

C

Step-by-step explanation:

C is the only one that matches the data.
C displays an appropriate radius for the data containing 3.1, 3.4, 3.1, 3.9, 4.0, 2.5, 2.8, 3.1, 2.9, 3.6

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

A relation's origin is represented as an ordered pair.

(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)

A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.

Either of the following conditions must be true for an ordered pair to constitute a function:

Every x-value has precisely one matching y-value, or "one-to-one."

This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.

The ordered pair is not a function if and only if both of the following are false

A one-to-many relationship means that for every x-value, there may be many y-values.

Many x-values map to many y-values; the relationship is many-to-many.

Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).

This is because no x-values in its range have more than one associated y-value.

One-to-many and many-to-many ordered pairings make up the rest of the set.

To learn more about ordered pairs, check out :

brainly.com/question/13688667

CQ

Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

Answer:

3000

Step-by-step explanation:

if you do 3*10'3 you will get 3000

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

Learn more about inscribed angle theorems on:

https://brainly.com/question/30494878