Answers
The 'x' and 'y' variables are highlighted in the box
Answer:
x = 7
y = 15
Step-by-step explanation:
Disclosure: After I had completed my answer, I found that Answerwell had already posted a solution. It is more straightforward than my approach. While the answers are the same, I'm still adding mine because 1) I worked hard on it, and 2) it illustrates there can be different ways of reaching a solution.
See attached worksheet.
Related Questions
A ride-all-day amusement park ticket last season was $35, and this season it is $27
.
What is the percent Markdown?
Answers
Answer:
Step-by-step explanation:
35-27=8
Answer:22.85%
Step-by-step explanation:
27 - 35
|35|
× 100% =
-8
35
× 100 = -22.8571428571% (decrease)
2x(x+7) + 35 = (x + 1)x(x+1) -2
Answers
Answer:
x= -6
Step-by-step explanation:
1
Distribute
2
Distribute
3
Distribute
4
Multiply by 1
5
Combine like terms
6
Subtract the numbers
7
Move terms to the left side
8
Distribute
9
Add the numbers
10
Combine like terms
11
Multiply by 1
12
Combine like terms
13
Use the quadratic formula
14
Evaluate the exponent
15
Multiply the numbers
16
Subtract the numbers
17
Evaluate the square root
18
Add zero
19
Multiply the numbers
20
Cancel terms that are in both the numerator and denominator
what is 11/12 ÷ 1/30 2 1/40 2 3/40 3 1/30 3 2/3
Answers
The given expression is
[tex]\frac{11}{12}\colon\frac{1}{3}[/tex]First, we change 1/3 for its reciprocal to transform the division into a product.
[tex]\frac{11}{12}\cdot\frac{3}{1}[/tex]Then, we multiply the fractions.
[tex]\frac{11\cdot3}{12\cdot1}=\frac{33}{12}=\frac{11}{4}[/tex]At last, we transform the fraction into a mixed fraction.
[tex]\frac{11}{4}=2\frac{3}{4}[/tex]Therefore, the right answer is B. 2 3/4.what is the equation of the line that passes through the point (-2, 14) and is perpendicular to the with the following equation? y = -2/5x - 1
Answers
Answer: the y = -2/5x - 1
Step-by-step explanation: hoped this help you two
Suppose that 12 inches of wire costs 60 cents.
At the same rate, how many inches of wire can be bought for 25 cents?
Answers
Answer:
5 inches of wire.
Step-by-step explanation:
60/12 = 5
So at .05 an inch, you can afford 5 inches at 25 cents
Please mark brainliest!
Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?
A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}
Answers
Answer:
A = {KL}
Step-by-step explanation:
The subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The sample space of this experiment consists of all possible ways of choosing two names from a group of three.
Since the order in which the names are chosen does not matter, the size of the sample space is given by the number of combinations of 3 things taken 2 at a time, which is 3.
The three possible outcomes are: {JK, JL, KL}.
If we want to find the complement of the event in which Joe plays in the first match, we need to find the outcomes in which Joe does not play in the first match.
There are two such outcomes: JL and KL.
Therefore, the subset of the sample space that represents the complement of the event in which Joe plays in the first match is A = {JL, KL}
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Identify the degree and leading coefficient of the given power function
Answers
In a equation as above:
a is the leading coefficient
n is the degree
For the given equation:
[tex]-2x^2[/tex]The coefficient is: -2The degree is: 22.1. AP-8 Write the integer value that point B represents, then write its opposite. B - 10 5 5 10 Point B represents the integer
Answers
In the line, the point B represents the integer -3, because it is 3 units left from 0.
Its opposite is the number 3, that is 3 units right from 0.
Select the correct answer. Consider the graph of f(x) given below. The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)? A. g(x) = f(x - 5) B. g(x) = f(x) - 2 C. g(x) = f(x) - 5 D. g(x) = f(x + 2)
PLEASE OFFER ME YOUR ANSWER, I ASK OF YOU...PLS
Answers
The function that could represent g(x) is (c) g(x) = f(x) - 5
How to determine the function g(x)?The figure of the graph that completes the question is added as an attachment
From the attached graph, we have the equation of the function to be
y = f(x)
Also, the graph of the function f(x) has its intercept to be
y-intercept of f(x) = 3
From the question, we have
y-intercept of g(x) = -2
Subtract the intercepts
Difference = y-intercept of g(x) - y-intercept of f(x)
So, we have
Difference = -2 - 3
Evaluate
Difference = -5
The function g(x) is then represented as
g(x) = f(x) + Difference
So, we have
g(x) = f(x) - 5
Hence, the function g(x) is g(x) = f(x) - 5
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MTR
3 MAINTAIN ACCURACY In Exercises 27-30, determine
whether the statement uses the word function in a way
that is mathematically correct. Explain your reasoning.
27. The selling price of an item is a function of the cost of
making the item.
28. The sales tax on a purchased item in a given state is a
function of the selling price.
29. A function pairs each student in your school with a
homeroom teacher.
30. A function pairs each chaperone on a school trip
with 10 students.
Please just do 28 and 30
Answers
Answer:
28. Correctly used
30. Incorrectly used
Step-by-step explanation:
You want to know if the word "function" is correctly used in the following cases:
28. The sales tax on a purchased item in a given state is a function of the selling price.
30. A function pairs each chaperone on a school trip with 10 students.
28. Sales taxThere is exactly one value of sales tax associated with any given selling price. This means the ordered pair (selling price, sales tax) will be unique for any given selling price. Hence, the relation between selling price and sales tax is a function. The word function is used correctly in describing this relation.
29. ChaperonesThere are 10 different students associated with any given chaperone. This means there will be multiple (chaperone, student) ordered pairs for any given chaperone: (c1, s1), (c1, s2), ..., (c1, s10), (c2, s11), (c2, s12), ..., (c2, s20), .... The relation between chaperones and students is not a function. The word function is used incorrectly in describing this relation.
75% of the marbles in a bag are orange and the rest are blue. What fraction of the orange marbles must be removed from the bag so that 50% of the remaining marbles are orange?
Answers
Answer:
1/2
Step-by-step explanation:
75% of the marbles in a bag are orange and the rest are blue. The percentage for blue will be:
= 100% - 75%
= 25%
The fraction of the orange marbles that must be removed from the bag so that 50% of the remaining marbles are orange will be:
= 75% - 25%
= 50%
= 1/2
12. Six hundred people will buy tickets at $4 each
for a district championship game. For each 20¢
decrease in price, 50 more people will buy
tickets. Find the best ticket price, the maximum
income, and the corresponding number of
tickets.
Answers
Using concept of Quadratic Equation we got that best ticket price is $16, maximum income is $19,200 and the corresponding number of tickets are 1200.
What is Quadratic Equation?A Quadratic Equation is one of the following: f(x) = ax2 + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is basically a curve that represents the graph of a quadratic equation. Parabolas can open up or down, and their "width" or "steepness" can vary, but they all have the same basic "U" shape.
We know that,
No. of people who will buy tickets at $4 = 600
For each 20¢ decrease, additional no. of people buying tickets = 50
Revenue = (No. of tickets sold)(Pricing)
Revenue = (600+50x)(4+x)
= 50[tex]x^{2}[/tex] + 800x + 2400
Solving the quadratic equation we got,
x = -4 or -12
Since we're dealing with real-life entities such as money, we'll take the value of x as positive.
Taking x as 12 (higher value),
No. of tickets sold = 600 + 50x = 1200
Pricing = 4 + x = 16
Revenue = 1200×16 = $19,200
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What is the GCF of 64a^8b^4 and 56a^5b^8
Answers
We need to find the greatest common factor of
[tex]64a^8b^4,56a^5b^8[/tex]We will find the greatest common factor of 64 and 56, first
Since the factors of 64 are
[tex]\begin{gathered} 1\times64 \\ 2\times32 \\ 4\times16 \\ 8\times8 \\ 1,2,4,8,16,32,64 \end{gathered}[/tex]Since the factors of 56 are
[tex]\begin{gathered} 1\times56 \\ 2\times28 \\ 4\times14 \\ 8\times7 \\ 1,2,4,7,8,14,28,56 \end{gathered}[/tex]Then the common factors are 1, 2, 4, 8
The greatest is 8, then
The GCF of 64 and 56 is 8
The greatest common factor of the same variables is the least power
Then the GCF of a^8 and a^5 is a^5
The GCF of b^4 and b^8 is b^4
Then the greatest common factor of the given terms is
[tex]\text{GCF}=8a^5b^4[/tex]y=600(0.75)^x
growth or decay by what precent?
Answers
The function f(x) = 600(0.75)^x. is a decay function by 25%
How to graph the function?The equation of the function is given as
f(x) = 600(0.75)^x.
The above function is an exponential function
An exponential function is represented as
y = ab^x
When f(x) = 600(0.75)^x. and y = ab^x are compared, we have
b = 0.75
The value of b in this case is the factor
Also if b is less than 1, then the function is a decay function
0.75 is less than 1
So, the function represents a decay function
The decal percentage is then calculated as
Decay = 1 - b
So, we have
Decay = 1 - 0.75
Evaluate
Decay = 25%
Hence, the function is a decay function
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Write in words the meaning of P^2 - 7P.
Answers
Answer:
P squared minus 7 times P
Step-by-step explanation:
which fraction on the number line is equal to 3
Answers
Answer:
? can't answer if there's no number line
Kareem wrote an exam which had 30 questions. Each question he answers correctly gets him 10
marks. However, he loses 5 marks for each question he answers incorrectly. He attempted all the
questions and got a total of 180 marks. How many questions did he answer wrong?
Answers
Total number of questions = 30 questions.
Each correct answer gets = 10 marks.
Marks deducted for each wrong answer = 5 marks.
Total marks scored by Kareem = 180 marks.
If Kareem had attended all the questions, then
Let 'α' be the number of questions he answered wrong, then the number of questions answered correctly by him, will be = (30 - α)
Then we have,
Total marks obtained = (correct answers x 10 marks ) - (wrong answers x 5 marks )
that is.,
180 = [(30 - α) x 10] - [α x 5] = 300 - 10α - 5α
180 - 300 = -15α
α = 120/15 = 8 questions.
Therefore, 8 questions were answered wrong by Kareem.
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Please help me with this (will give more credit for the best answer)
Answers
Answer:
1. 5ft
2. 2ft
3. 2ft
4. 1ft
Step-by-step explanation:
A bicyele store costs $2400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicyeIs $120How many bicycles must the store sell each month 1o break even?Write a system of equations to represent the situation, then solve*Show both the equations and the solution
Answers
Answer:
The system of equations is:
• C(x)=2400+60x
,• R(x)=120x
The number of bicycles to break even = 40
Explanation:
Let the number of bikes sold = x
• The operating cost of the store per month = $2400
,• Cost Price Per bike = $60
Thus, the total monthly cost for the store:
[tex]C(x)=2400+60x[/tex]Next, the average selling price of each bicycle is $120, therefore, the monthly revenue of the store:
[tex]R(x)=120x[/tex]The store breaks even when the cost equals its revenue.
[tex]\begin{gathered} R(x)=C(x) \\ 120x=2400+60x \end{gathered}[/tex]We then solve for x:
[tex]\begin{gathered} \text{ Subtract 60x from both sides of the equation} \\ 120x-60x=60x-60x+2400 \\ 60x=2400 \\ \text{ Divide both sides of the equation by 60} \\ \frac{60x}{60}=\frac{2400}{60} \\ x=40 \end{gathered}[/tex]The store must sell 40 bicycles in order to break even.
The population of the United States increased from 249 million in 1990 to 308 million in
2010.
The absolute change in the population was
The relative change in the population was
of a percent)
million.
% (round to the nearest tenth
Answers
The absolute change in the population was 59 million. The relative change in the population was 23.69%
The absolute population change is the magnitude of the increase or decrease in population for a defined period.
What is absolute change ?Absolute change describes the straightforward difference between the indicator over two time periods. The indicator's value in the earlier period is used to calculate the relative change, which expresses the absolute change as a percentage.
Small numbers can make relative changes appear more significant than they actually are. This is true because a minor change in the number's absolute value can generate a significant change in the percentage.
Big numbers may make relative changes appear less significant. This is so that any change in the number that represents a substantial relative change may be seen.
The relative change can be minor even when the absolute change is significant if it is a change on a larger number.
Absolute change = Final value – Initial value
= 308m- 249m = 59m
The absolute change in the population was 59 million
Relative change Formula = (Final value – Initial value) / Initial value * 100%
= 308m- 249m/ 249*100 = 23.69%
The relative change in the population was 23.69%
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50 points if this is correct i need this asap please
Which is the best definition of a two-step equation?
In a two-step equation, you must always start by using the division property of equality.
In a two-step equation, you need to use one inverse operation to solve.
A two-step equation is one that you need to use two properties of equality to solve.
A two-step equation is one that you need to use only a single property of equality to solve.
Answers
Answer:
c
Step-by-step explanation:
A two-step equation is one that you need to use two properties of equality to solve.
A cyclist leaves New York traveling at an average speed of 9 miles per hour. 4 hours later, a car leaves Bay Shore, on the same route, traveling at an average speed of 21 miles per hour. How many hours after the car leaves New York will the car catch up to the cyclist? *
Answers
The car will catch up with cyclist in 3 hours
What is time ?Time refers to the interval in seconds , minutes or hours it took for an event to take place
How to calculate How many hours it will take the car to catch up with cyclistInformation given for the question include
A cyclist has average speed of 9 miles per hour
A car leaves has average speed of 21 miles per hour
following same route when
The question is asking at what time will the distance be equal if the cyclists have advantage of 4 hours already
Calculation of distance covered by the cyclist
average speed = distance / time
distance = 9 mph * (x + 4)
Calculation of distance covered by the car
average speed = distance / time
distance = 21 mph * x
equating both gives
9 mph * (x + 4) = 21 mph * x
9x + 36 = 21x
36 = 21x - 9x
12x = 36
x = 3
hence the car will meet the cyclist in 3 hours
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Which of the following sentences properly uses semicolons in a serial list?
There is so much you can do to cut down on waste; such as composting, which uses food waste to help plants grow, recycling, which keeps plastic, metal, and glass out of landfills, and thrifting, which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste, such as composting; which uses food waste to help plants grow; recycling; which keeps plastic; metal; and glass out of landfills; and thrifting; which cuts down on clothing waste from fast fashion.
There is so much you can do to cut down on waste; such as composting; which uses food waste to help plants grow, recycling; which keeps plastic, metal, and glass, out of landfills, and thrifting; which cuts down on clothing waste from fast fashion.
Answers
The sentence that properly uses semicolons in a serial list is B. There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.
What are semicolons?A semicolon is a punctuation mark consisting of a period put on top of a comma.
Semicolons can be used for the following purposes:
To join two independent clauses without the coordinating conjunctions (and, but, or, nor, for, so, yet)As a serial listTo introduce evidence for a preceding statement.Thus, the proper use of semicolons in a serial list is Option B.
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Answer:
B. There is so much you can do to cut down on waste, such as composting, which uses food waste to help plants grow; recycling, which keeps plastic, metal, and glass out of landfills; and thrifting, which cuts down on clothing waste from fast fashion.
Step-by-step explanation:
a top speed an object travels 3,200 millimeters in 4 seconds how many millimeters does the object travel each second
Answers
Kirby is buying a new grill that has been reduced for an end of summer sale by 25% to $496. what was the original price of the grill?
Answers
Given:
percentage decerease = 25%
current price of the grill = $496
Let the original price of the grill be x
We can calculate percentage decrease using the formula:
[tex]\text{Percent decrease = }\frac{Orig\text{ inal value - new value}}{Orig\text{ inal value}}\text{ }\times\text{ 100}[/tex]Substituting the given values we have:
[tex]\begin{gathered} 25\text{ = }\frac{x-496}{x}\times\text{ 100} \\ 25\text{ = }\frac{(x-496)\times100}{x} \end{gathered}[/tex]Cross-Multiply:
[tex]\begin{gathered} 25x\text{ = 100x - 49600} \\ \text{Collect like terms:} \\ -75x\text{ = -49600} \\ \text{Divide both sides by -75} \\ \frac{-75x}{-75}\text{ = }\frac{-49600}{-75} \\ x\text{ }\approx\text{661.33} \end{gathered}[/tex]Hence, we can conclude that the original price of the grill is approximately $661.33
Answer:
$661.33
I need help fast with my math homework.
Answers
Answer:15 twice
Step-by-step explanation:
what are the roots of the equation ?-3x = -10x^2-4
Answers
Given the following Quadratic equation:
[tex]-3x=-10x^2-4[/tex]You can use the Quadratic formula to solve it:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]In this case, you need to add "3x" to both sides of the equation:
[tex]\begin{gathered} -3x+(3x)=-10x^2-4+(3x) \\ 0=-10x^2+3x-4 \end{gathered}[/tex]You can identify that:
[tex]\begin{gathered} a=-10 \\ b=3 \\ c=-4 \end{gathered}[/tex]Substituting values into the formula and evaluating, you get:
[tex]\begin{gathered} x=\frac{-3\pm\sqrt[]{3^2^{}-4(-10)(-4)}}{2(-10)} \\ \\ x_1=\frac{3}{20}-\frac{i}{20}\sqrt[]{151} \\ \\ x_2=\frac{3}{20}+\frac{i}{20}\sqrt[]{151} \end{gathered}[/tex]Answer
Complex roots:
[tex]\begin{gathered} x_1=\frac{3}{20}-\frac{i}{20}\sqrt[]{151} \\ \\ x_2=\frac{3}{20}+\frac{i}{20}\sqrt[]{151} \end{gathered}[/tex]Solve for x. 23r + 2 = 156 + 481 + 6 A. x = 1/12 B. x = -2/5C. x = -1/10 D. x = -12/5
Answers
C) x= -1/10
1) Evaluating the following expression
23x+2= 15x + 48x + 6 Add the like terms
23x +2 = 63x +6 Subtract 63x and 2 from both sides
23x -63x = 6 -2
-40x =4 Divide both sides by -40
x = -4/40 Simplify it by 4
x= -1/10
2) Hence, the answer is x= -1/10
a³ = 125
Each edge of the cube is
feet long.
Answers
Answer:
each cube is 5 feet long because 5*5*5 = 125
Step-by-step explanation:
Justin works in a department store selling clothing. He makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 30% of his total sales for the week. How much would Justin make in a week in which he made $2425 in sales? How much would Justin make in a week if he made x dollars in
Answers
We can convert that 30% into a decimal, as: 0.3 (That's 30/100)
Now, we can multiply this 0.3 by any quantity that we want to calculate 30% from.
For example, let's take Justin's commission:
[tex]2425\cdot0.3=727.5[/tex]Adding this to his base salary,
[tex]450+727.5=1177.5[/tex]We can conclude that Justin's paycheck for the week would be $1,117.5
Similarly, the expression for Justin's paycheck in a week were he made x dollars in sales is:
[tex]0.3x+450[/tex]