swimming pool on a certain hot summers day 553 people use the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1085.25. How many children and how many adult swim at the public pool that day?

The measure of the given angle ∠BDC or x is 55°.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

The Latin word "angulus," which means "corner," is the source of the English term "angle."

The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.

A geometrical shape called an angle is created by connecting two rays at their termini.

In most cases, an angle is expressed in degrees.

So, we know that:

∠ABC = 80°

∠ABD = 25°

∠BDC = x°

Calculate for ∠BDC:

∠ABC - ∠ABD = ∠BDC

80 - 25 = x

x = 55°

Therefore, the measure of the given angle ∠BDC or x is 55°.

Know more about angles here:

https://brainly.com/question/29276964

#SPJ1

The method which result into more money after 2 years is Peggy method of saving at 6% interest rate and compounded monthly.

Larry:

A = P(1 + r/n)^nt

A = 350.00(1 + 0.04/4)^(4×2)

A = 350.00(1 + 0.01)(8)

A = $379.00

Peggy

A = P(1 + r/n)^nt

A = 350.00(1 + 0.06/12)^(12×2)

A = 350.00(1 + 0.005)(24)

A = $394.51

Therefore, Peggy has more money than Larry after two years.

Read more on compound interest:

https://brainly.com/question/24924853

#SPJ1

Answer:peggy account brings in more money after two years.

Step-by-step explanation:

LarryA=P(1 + r/n)^nt

A=350(1+0.04/4)^(4)(2)

A=350(1.01)^8

A=378.999

Peggy

A=P(1 + r/n)^nt

A=350(1+0.06/12)^(12)(2)

A=350(1.005)^24

A=394.505

So Peggy’s account brings in more money after two years.

Answer:

she would have at least rs 11

Step-by-step explanation:

since each pen cost rs 3.50 she will probably have

3.50 × 3

= rs 10.5

approximately rs 11

He has a total of $90 in his cafeteria wallet, thus the most lunches he may purchase is 20.

What is division?

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

Amount added=$50

Amount already in wallet=$40

Total amount in wallet=50+40

=$90

Cost of each lunch=$4.5

Number of lunch he can buy,

=90/4.5

=20

The maximum number of lunch he can buy is 20 lunch as he has a total of $90 in his cafeteria wallet.

To know more about division,

brainly.com/question/28598725

#SPJ4

Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.

Divide f(x) by x-1 , we get

k-27=R

Divide f(x) by x-2, we get

2k-44=4R

substitute value of R in second equation and solve, we get

k=32

To learn more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

Answer: The final answer is 6

Step-by-step explanation: 2 x (x+5) = 6

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Answer:

2,802

Hope this helps :)

Step-by-step explanation:

1. Multiply the numbers.

467

× 6

2,802

2. Check.

2,802 ÷ 6 = 467 ✓

Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ2

Answer:

(a) 21, 22, 23

(b) 11, 13, 15

Step-by-step explanation:

Natural numbers are the set of numbers 1, 2, 3... Not numbers that we think of as fractions or decimals or negative numbers.

Let x = the first number

Let x+ 1 = the second number

Let  x+ 2 = the third number

x + x+ 1 + x + 2 = 66  Combine like terms

3x + 3 = 66  Subtract 3 from both sides

3x = 63  Divide both sides by 3

x = 21

Check:

21 + 22 + 23 = 66

Let x + the first number

Let x + 2 = the second number

Let x + 4 = the thirds number

x + x + 2 + x + 4 = 39  Combine like terms

3x + 6 = 39  Subtract 6 from both sides

3x = 33  Divide both sides by 3

x = 11

Check:  11 =+ 13 + 15 = 39

Answer:

D

Step-by-step explanation:

Answer

l-a

ll-d

lll-c

lV-b

don't think it is completely right but I tried

The completed table of Ehecatl's hair length before the haircut is

Length (cm)       Percentage

 12                         60% of Ehecatl's old hair

  4                         20% of Ehecatl's old hair

 20                        100% of Ehecatl's old hair

The complete question is added at the end of this solution and as an attachment

From the question, we have the following incomplete table that can be used in our computation:

Length (cm)       Percentage

                          60% of Ehecatl's old hair

                          20% of Ehecatl's old hair

                         100% of Ehecatl's old hair

The first step is to determine the length of her hair before she cut it

The equation to calculate the new length of the hair after the cut is represented as

New length = Length of the hair before it was cut * Percentage

Substitute the known values in the above equation

So, we have the following representations

At 60%: 60% x 20 = 12cm

At 20%: 20% x 20 = 4cm

At 10%: 100% x 20 = 20cm

So, the missing values are 12 cm, 4 cm and 20 cm

Read more about proportions at:

https://brainly.com/question/16828793

#SPJ1

Complete question

The tape diagram shows that Ehecatl's hair, which is now 12cm long is 60% as long as it was before his haircut.

Complete the table to show different percentages of Ehecatl's hair length before the haircut.

Answer:

The answer is 70

Step-by-step explanation:

180-40=140

140/2=70

70+70=140

140+40=180

180= the measure of the whole triangle

PS: Hope this helps:)

A: The percentage of respondents who like hamburgers but dislikes burritos is 46.34%

B: Marginal relative frequency  of all who like hamburgers is 0.65.

C:Lowest joint frequency is of the respondents who like both.

The word "relative" is used to describe how something is being viewed in connection to or in comparison to another event. How frequently an event occurs can be determined by looking at its frequency. On the other hand, relative frequency is a means to compare the frequency of a specific event to all other occurrences.

The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.

Two facts must be known in order to determine the relative frequency:

>>Number of total events/trials

>>Frequency count for a category/subgroup

                             Like Ham↓  Does Not Like Ham    Total↓

Likes burritos →                 39           38                         77

Does not like burritos →    95           33                        128

Total →                               134           71                        205

So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 39 like Hamburgers.

A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining 33 do not like Hamburgers.

A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

A:

Total people who liked hamburgers are 134 and those who doesnot like burritos and liked hamburgers are 95 and the total people participated in the survey are 205.

So the percentage of people is [tex]\frac{95}{205}*100[/tex] = 46.34%

B:

The marginal relative frequency is nothing but total people who like hamburgers out of the total respondents.. which is

[tex]\frac{134}{205}[/tex] = 0.65

C:

The category that has lowest joint relative frequency is

Case 1:

Likes both burritos and hamburgers:

[tex]\frac{39}{134}=0.29[/tex]

Likes burritos and dislikes hamburgers:

[tex]\frac{38}{71} = 0.53[/tex]

Likes hamburgers and dislikes burritos:

[tex]\frac{95}{134} = 0.71[/tex]

Who dislike both are:

[tex]\frac{33}{71}=0.47[/tex]

So the category which lowest joint frequency is Likes both burritos and Hamburgers.

A: The percentage of respondents who like hamburgers but dislikes burritos is 46.34%

B: Marginal relative frequency  of all who like hamburgers is 0.65.

C:Lowest joint frequency is of the respondents who like both.

To know more about frequencies, visit:

https://brainly.com/question/254161

#SPJ1

Answer:

look at the link so you can get the straight up answers



Step-by-step explanation:

I did the same test got it all right

PLS give BRAINLIST mean the world

The required proportional relationship between y = 4x, where, x it time and y is the total number of pages.

Given that,

Bill writes 4 pages per hour. The total number of pages written proportionally to the number of hours spent to be justified.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
let the number of pages written in x hours be y,
According to the question,
y = 4x

Thus, the required proportional relationship between y = 4x, where, x it time and y is the total number of pages.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

Triangles are shapes that have a total angle measurement of 180°.

To find this answer, add the measures of all the angles and set the equation equal to 180:

(x + 4) + (2x − 11) + (3x + 25) = 180

NOW SOLVE FOR X!

x + 4 + 2x − 11 + 3x + 25 = 180

18 + 6x = 180

6x = 162

x = 27

Now plug 27 into the equation for m∠B:

m∠B = (2x − 11)

m∠B = 2(27) − 11

        = 54 - 11

m∠B = 43

Answer:

  {-2, -1, 3}

Step-by-step explanation:

You want the zeros of F(x)=x^3-7x-6.

The signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.

The rational root theorem tells you any real roots will be divisors of the constant, 6. Hence, we only need to try ±1, ±2, ±3.

The sum of coefficients is 1-7-6 = -12, so x=1 is not a solution. The positive solution is greater than +1.

The sum of coefficients of odd-degree terms is (1 -7) = -6, equal to the sum of coefficients of even-degree terms (0 -6) = -6, so -1 is a root.

The attachment shows F(x) divided by the corresponding factor (x+1) using synthetic division. The quotient is (x² -x -6), so we know the factorization is ...

  F(x) = (x +1)(x² -x -6) = (x +1)(x -3)(x +2)

The zero product rule tells us the roots are ...

  x = {-2, -1, 3}

The graph of the function tells us the same thing.

__

Additional comment

The constants in the binomial factors of x² -x -6 will be factors of the constant term, -6, that sum to the linear term coefficient, -1. These are -3 and +2.

We like a graphing calculator for finding roots of a cubic and higher-degree polynomials. It will show only the real roots, so more steps are required for complex roots.

Here the correct answer is (8,4) means option B.

Given equations are,

y=x-4 -----------------(1)

y= -0.5x+8-----------(2)

Option A.(4,2): If we put x=4 in equation one then y=0 which does not satisfy equation 2.

Option B.(8,4): If we put x=8 in equation one then y=4 and which satisfies equation 2.

Option C.(2,4): If we put x=2 in equation one then y=-2 which does not satisfy equation 2.

Option D.(4,8): If we put x=4 in equation one then y=0 which does not satisfy equation 2.

Therefore the solution of the equations y=x-4 and y=-0.5x+8 is (8,4) which is option B.

Learn more about quadratic equations:

https://brainly.com/question/24737967

Sorting is the process of grouping individuals into sets of two according to how well they do on a certain measure, then randomly assigning one participant from each set to each of the experimental groups. The right response in this case is option D.

Any systematic arrangement process is called sorting, and there are two similar but different definitions of sorting: Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Sorting is the process of placing data in ascending or descending order based on a linear connection between the data pieces. Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Complete question:

When participants are sorted from lowest to highest on a variable, grouped into sets of two, and then one person from each set is assigned at random to each of the experimental groups, this is called

A.)random assignment

B.)matching

C.)biased choice

D.)sorting

To learn more about sorting

https://brainly.com/question/17205279

#SPJ4

Both 3 and 6 cups of sugar are used.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

2 cups of flour and 1 cup of sugar

Add the sugar and flour together for three cakes.

2 cups of wheat and 1 cup of sugar equals 3.

6 cups of flour and 3 cups of sugar

Hence, Both 3 and 6 cups of sugar are used.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.

In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;

Vertex = (4 - 2, 6 - 2)

Vertex = (2, 4).

Read more on translation here: brainly.com/question/20720324

#SPJ1

Answer:

30 tickets

Step-by-step explanation:

A plane ticket cost $30 per ticket max ended up having to spend $900 how many tickets did he buy ?

900/30 = 30 tickets

Answer:

[tex]f=-29[/tex]

Step-by-step explanation:

Multiply both sides by 29.

[tex]-1*29\leq \frac{f}{29}*29[/tex]

Simplify the left side by multiplying −1 by 29.

[tex]-29\leq \frac{f}{29}*29[/tex]

Simplify the right side by canceling the common factor of 29.

[tex]-29\leq f[/tex]

Rewrite so f is on the left side of the inequality.

[tex]f\geq -29[/tex]

The formula for the given condition will be x=14t, where x is the number of books that Tea has and t is the number of books that Joseph has.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Here,

let x be number of books tea have be x,

Joseph has 14 books.

Tea have t times the book joseph have,

x=14t

The expression for the given condition will be x=14t where Tea have t times the book joseph have and x be number of books tea have.

To know more about expression,

https://brainly.com/question/1859113

#SPJ4

Answer:

2 hours and 55 minutes

Step-by-step explanation:

1/5+1/7-=1/x

12/35=1/x

cross multiply

12x=35

35/12=2 hr 55 mins

Answer:

>:)

Step-by-step explanation:

200 purses, 8 hours

200/8 = 25

25 purses per hour!

Pls mark me as brainliest and give me 20 points I need it :) Hope this answer helped!!

Answer: The Factory manufactures 25 purses per hour

Step-by-step explanation:

200 purses / 8 hours

25 purses per hour