The number of children and adults using the swimming pool is x=318, and y=235 respectively.
Given that,
Swimming pool on a certain hot summer 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.
Here,
let the number of children be x and the number of adults be y,
According to the conditions,
x + y = 553, - - - - - - (1)
1.75x + 2.25y = 1085.25 - -- - - - - -(2)
Solving the above equations by substitution of x from 1 in equation 2.
1.75[y - 553] + 2.25y = 1085.25
x = 318
Now,
x = 553 - 318
x = 235
Thus, the number of children and adults using the swimming pool is x=318, and y=235 respectively.
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PLS HELP SUPER EASYY
The measure of the given angle ∠BDC or x is 55°.
What are angles?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°.
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determine the measure of each missing angle in the triangle? HELPP MEEE PLEASEE!!!!
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:)
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
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.
(a) Find the three consecutive natural numbers whose sum is 66.
(b) Find the three consecutive odd natural numbers whose sum is 39.
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
Larry and Peggy are making decisions about their bank accounts. Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly. Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all work.
The method which result into more money after 2 years is Peggy method of saving at 6% interest rate and compounded monthly.
How to calculate compound interest?Larry:
Principal, P = $350Interest rate, r = 4% = 0.04Number of periods, n = 4Number of years, t = 2A = 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
Principal, P = $350Interest rate, r = 6% = 0.06Number of periods, n = 12Number of years, t = 2A = 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.
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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.
Sally can paint a room in 5 hours while it takes steven 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
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
Question 3
The graph of the line y = 2x + 3 is shown. Which point is the solution of the inequality y < 2x + 3?
A. (-3,4)
B. (0, 3)
C. (3, 0)
D. (-2,-1)
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)
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SY FOR
f(x)= x³ - 8x² + kx-20
When f(x) is divided by (x - 1), the remainder is R.
When f(x) is divided by (x - 2), the remainder is 4R.
Find the value of k.
Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What is a substitution method for solving equation?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
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Of the 72 people who have taken their seats at a seminar, 6 have brown hair. Considering this data, how many of the next 84 people to take their seats should you expect to be brown-haired?
Charlie has twice as many brothers as Caleb.
Caleb has twice as many brothers as Angela.
Angela has 2 brothers.
How many brothers does Charlie have?
PLEASE HELP ILL THANK YOU GIVE YOU FIVE STARS AND GIVE YOU BRANLSIYEST!!!!!!!!!!!!!!!!
Triangle ABC has the following angle measures:
m∠A = (x + 4)°, m∠B = (2x − 11)°, m∠C = (3x + 25)°
What is m∠B?
27°
33°
43°
55°
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
Hello please solve this
Find all zeros of
F(x)=x^3-7x-6
Answer:
{-2, -1, 3}
Step-by-step explanation:
You want the zeros of F(x)=x^3-7x-6.
Descartes' rule of signsThe signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.
Rational root theoremThe 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.
FactorizationThe 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.
Will give Brainliest if correct answer!
Identify each description of a quadrilateral as one of the following.
I. a characteristic of parallelograms
II. a condition ensuring a quadrilateral is a parallelogram
III. both I and II
Iv. Neither I nor II
a. two pairs of congruent opposite sides
b. two pairs of congruent opposite angles [III]
c. two pairs of consecutive sides are congruent
d. four congruent angles e. one pair of parallel sides and a pair of congruent opposite sides
Answer
l-a
ll-d
lll-c
lV-b
don't think it is completely right but I tried
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
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
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In 1/4 cup lemonade, there is 1/3 cup sugar. How much lemonade would 1 cup sugar make?
Answer=
Cups
The production rate per hour of a purse factory that can manufacture 200 purses in 8 hours.
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
The tape diagram shows that Ehecatl's hair, which is now 12\,\text{cm}12cm12, start text, c, m, end text long, is 60\%60%60, percent as long as it was before his haircut.
A tape diagram with one tape split into 5 equal parts. The first 3 parts are shaded. A curved brace above the first 3 parts is labeled 12. A curved brace below the first 3 parts is labeled 60 percent.
A tape diagram with one tape split into 5 equal parts. The first 3 parts are shaded. A curved brace above the first 3 parts is labeled 12. A curved brace below the first 3 parts is labeled 60 percent.
Complete the table to show different percentages of Ehecatl's hair length before the haircut.
Length (\text{cm}cmstart text, c, m, end text) Percentage
60\%60%60, percent of Ehecatl's old hair length
20\%20%20, percent of Ehecatl's old hair length
100\%100%100, percent of Ehecatl's old hair length
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
How to complete the missing information in the table?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
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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.
Please help me do these inequalities.
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]
Tea ha t time a many comic book a Joeph. Joeph ha 14 comic book. Write an expreion that how how many comic book Tea ha
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.
What is expression?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.
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The domain of y = log2 (x+5) in the real numbers is
Answer: The final answer is 6
Step-by-step explanation: 2 x (x+5) = 6
or
Bill writes 4 pages per hour. Is the total number of pages written proportional to the number of hours spent writing?
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.
What is proportionality?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.
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A recipe requires 1 1 cup of sugar for every 6 6 cups of flour. How many cups of sugar will be required for 18 18 cups of flour? enter the answer in the box.
Both 3 and 6 cups of sugar are used.
What is unitary method ?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.
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geomtrynnnnnnnnnnnnnnnnnn
Answer:
D
Step-by-step explanation:
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 39 77
Does not like burritos 95 33
Total 134 205
Part A: What percentage of the survey respondents liked hamburgers but do not like burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Which category has the lowest joint relative frequency? Show all work. (4 points)
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.
What are relative frequencies?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
Calculation:
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.
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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
Mona wants to buy some pens. Each pens costs rs 3.50 she can only buy 3 pens with the money she has. which of these could be the money she has?
a. rs 14
b. rs 11
c. rs 10
d. rs 9
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
Jethro added $50 to hi cafeteria account that had $40 already on it. Each time he buy lunch,$4. 50 i deducted from the account. Write an equation in lope intercept form relating the number of lunche he can purchae (x) to the amount of money remaining on the cafeteria account (y). What i the maximum number of lunche Jethro can buy
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.
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a plane ticket cost $30 per ticket max ended up haveing to spend $900 how many tickets did he buy ???
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
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6). What is the vertex of the function defined as g(x) = f(x +2) - 2?
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).
How to determine the vertex of the function defined as g(x)?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).
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What is 467 x 6 method
Answer:
2,802
Hope this helps :)
Step-by-step explanation:
1. Multiply the numbers.
467
× 6
2,802
2. Check.
2,802 ÷ 6 = 467 ✓
need help with homework it was due the 15th
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.
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