Linear equation is the equation in which the highest power of the unknown variable is one. The expression represents the yearly cost for x movie rentals can be given as,
\(f(x)=2.95x+39.95(12)\)
Hence the option four is the correct option.
Given information-
The amount a movie company charges is $2. 95 per movie.
The amount of fixed monthly fee is $39.95.
The statement is need to be convert in the expression of linear form.
Linear equationLinear equation is the equation in which the highest power of the unknown variable is one.
As the number of months in a year is 12 and the monthly fixed fee is $39.95. Thus the Fixed amount charged yearly by the compony,
\(=12\times39.95\\ =39.95(12)\)
The amount for each movie is varies as the company charges the $2.95 per movie.
Suppose the number of movie watched yearly is x.
Then the money charged by the company for x movies is,
\(=2.95\times x\\ =2.95x\)
Thus the expression represents the yearly cost for x movie rentals can be given as,
\(f(x)=2.95x+39.95(12)\)
Hence the option four is the correct option.
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Beatrice has $0.28 in her pocket. What percent of a dollar does Beatrice have?
Answer:
She has 28 percent of a dollar.
Step-by-step explanation:
Please mark brainliest.
Find the equation of a line that goes throught point -2,-5 and is parallel to y = x + 2
The equation of the line that goes through the point (-2, -5) and is parallel to y = x + 2 is y = x - 3.
To find the equation of a line that goes through the point (-2, -5) and is parallel to y = x + 2, we will follow these steps:
1. Identify the slope of the given line.
2. Use the slope and the given point to find the equation of the new line.
Step 1: Identify the slope of the given line.
The equation of the given line is y = x + 2. This is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope (m) is 1, as it is the coefficient of x.
Step 2: Use the slope and the given point to find the equation of the new line.
Since the new line is parallel to the given line, it will have the same slope. Therefore, the slope of the new line is also 1.
Now, we will use the point-slope form of a linear equation, which is given by y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
Plugging in the values, we have:
y - (-5) = 1(x - (-2))
y + 5 = 1(x + 2)
Now, let's rewrite the equation in slope-intercept form:
y + 5 = x + 2
y = x + 2 - 5
y = x - 3
So, the equation of the line that goes through the point (-2, -5) and is parallel to y = x + 2 is y = x - 3.
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TIMED
Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.
How much more is Addison’s holiday hourly rate than her regular hourly rate?
A$2.00
B$8.50
C$10.50
D$19.00
Option a is correct.
$2 more is Addison’s holiday hourly rate than her regular hourly rate
What are Time and Work?
According to fundamental mathematical concepts, time may be described as the amount of time that a specific activity occurs, whereas work can be described as the collection of actions carried out in order to attain a specific activity or outcome. It should go without saying that time is needed to accomplish a task. It implies that time and work have a certain relationship.
The task completed is calculated as the sum of the number of people participating in the work and the number of days it took to finish. The fundamental time and work equation is W = N X D.
W is the amount of work done.
N is the number of people.
D is the number of days or hours needed.
Let r be the regular rate and h the holiday rate.
Then you can write these two equations:
From the first statement:
188.50 = 5h + 16r
From the second statement:
254.00 = 8h + 20r.
There you have a system of two independent equations with two variables, which you can solve by several methods.
If you multiply the first by 8 and the second by 5, you get:
40h + 128r = 1508
40h + 100r = 1270
Subtract the second equation from the first one:
28r = 238
Divide by 28
r = 238/28 = 8.5
You can use now any of the two original statements to find h
254.00 = 8h + 20r
8h = 254 -20(8.5) = 84
h = 84/8 = 10.5
h - r = 10.50 - 8.50 = 2.00
The holiday hourly rate is $2.00 more than the regular hourly rate.
Hence,
$2 more is Addison’s holiday hourly rate than her regular hourly rate
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Riddle
Imagine your in a round house. With no way to get out. The only thing in the round house is a table and a mirror. How do you get out?
Answer:
That's tough......!!!!
Answer:
1st u eat the mirror then u smash the table thru the wall and then climb out.
Step-by-step explanation:
you read this far so gimmi 5 stars and a thanks -.-
A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *
Answer:
B: y = 5x + 30
Step-by-step explanation:
what is 16a-3a+2+9b+5c equal
Answer:
13a + 9b + 5c + 2
Step-by-step explanation:
Combine like terms. Like terms are terms that have the same amount of the same variables. Reformat the given expression so that like expressions are next to each other:
16a - 3a + 9b + 5c + 2
Combine the like terms, 16a and -3a:
16a - 3a = 13a
13a + 9b + 5c + 2 would be your answer.
Note that none of the remaining terms share like terms. Note also that when a term does not have (a) variable(s) attached (such as the 2 in the end of the expression), it is known as a constant.
Answer:
13a + 9b + 5c + 2
Step-by-step explanation:
Given expression,
→ 16a - 3a + 2 + 9b + 5c
Main steps included in solving,
→ Rearranging the expression
→ Combining the like terms
Let's simplify the expression,
→ 16a - 3a + 2 + 9b + 5c
→ (16a - 3a) + (9b) + (5c) + 2
→ (13a) + 9b + 5c + 2
→ 13a + 9b + 5c + 2
Hence, this is the answer.
what is y=1/4x-6 graphed
Answer:
Step-by-step explanation:
What was R-kelly doing in the basement
Right answers only ;-;
Answer:
Sum he wasn't suupposed to be doing....... ;-;
Step-by-step explanation:
A rectangular gate measures 1.2 m by 2.3 m with a 2.4 m diagonal. Is the gate
square? If not, should the diagonal be longer or shorter?
7 x (8 + 5) = 56 + 5 =
Hi There!
The answer is below!
Step-by-step explanation:
\(7\) × \(8\) = \(56\)
\(56\) \(+\) \(5\) = \(61\)
So, Your answer is 61.
\(HopeThisHelps!\)
\(^{Losersbrazts}\)
A local charity receives 1/3 of funds raised during a craft fair and a bake sale. The craft fair raised $252.60. The total amount given to charity was $137.45. How much did the bake sale raise?
Answer:
$159.75
Step-by-step explanation:
137.45/252.60 + x = 1/3
252.60 + x = 412.35
x = 412.35 - 252.60
x = 159.75
Answer:
297.2
Step-by-step explanation:
549.8 ÷ 4 = 137.45
549.8 - 252.60 = 297.2
She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.
Answer:
10 burgers
Step-by-step explanation:
\({3.375pounds}(\frac{12 burgers}{3.99pounds})=(\frac{xburgers}{3.375pounds}){3.375pounds}\\xburgers=10.15\\\)
so you get 10 burgers
or you could approach it
\(\frac{3.375}{(1/3)} =\)3.375×3=10.125
8. a lot of points if you do this and brainilyest
To graph an equation as given:
\(f(x)=\lvert x\rvert\)The absolute value of a number (positive or negative) is always the positive number:
\(\lvert\pm a\rvert=a\)Give values to x and calculate the corresponding value of f(x) or y
x= -4
\(f(-4)=\lvert-4\rvert=4\)x= -2
\(f(-2)=\lvert-2\rvert=2\)x=0
\(f(0)=\lvert0\rvert=0\)x= 2
\(f(2)=\lvert2\rvert=2\)x= 4
\(f(4)=\lvert4\rvert=4\)Use the next points to grpah the equation: (x,y)
(-4,4) (-2, 2) (0, 0) (2, 2) (4 , 4)
Graph of the equation:
21.For an oxidation reaction, the temperature T required is warmer than 50°C. Complete the following inequality by dragging the correct symbol to the box.
a. <
b. >
c. ≤
d. ≥
T __ 50°C
WHAT SYMBOL FILLS OUT THE UNDERSCORE ?!
Select all pairs of alternate interior angles. Assume the lines are parallel.
none
3 and 6
3 and 5
4 and 6
4 and 5
5 and 6
3 and 4
Answer:
6 y 3
Step-by-step explanation:
whever gets this correct gets brainliest but plz help
Answer:
yes, no, y= 1.88x
Step-by-step explanation:
the total price of the apples increases by $1.88/apple. "y" is the total price, "x" is the number of apples
the price of the pizza does not increase by a consistent amount for each topping you add.
What are the slope and y-intercept of the linear function show on the coordinate plane?
Answer:
Slope = -3/2, y- intercept = 2
Step-by-step explanation:
The y-intercept is 2 because the function touches the y-axis at y=2. The slope is -3/2 because from one point on the axis, you go up 3 points and left 2 points. Slope is rise/run (up/down over left/right)
The difference between the mean outcome of those who are treated and those who are untreated when the assignment of treatments is random is a good estimate of the A. Average treatment effect (ATE) but not the Treatment on the treated (TT) B. Selection bias C. Treatment on the treated but not the average treatment effect D. Average treatment effect which is equal to the treatment on the treated E. Sum of treatment on the treated and selection bias
The difference between the mean outcome of those who are treated and those who are untreated when the assignment of treatments is random is a good estimate of the Average Treatment Effect (ATE). (C)
The ATE is the average effect of treatment on the population, i.e., the difference in the mean outcomes of the treated group and the untreated group. If the assignment of treatments is random, the ATE is an unbiased estimate of the population average treatment effect.
On the other hand, the Treatment on the Treated (TT) is the average treatment effect on only those individuals who received the treatment. It represents the effect of the treatment on those who actually received it, and is not a good estimate of the population average treatment effect.
The TT can be biased if the treated and untreated groups differ in important ways that are not related to the treatment. The Selection bias refers to the systematic difference in the outcome between the treated and untreated groups due to factors other than the treatment.
It occurs when the assignment of treatment is not random, and can affect both the ATE and TT estimates.
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The layout of a playground uses the scale 1:50. If the dimensions of the playground in the layout are given by 180 cm x 240 cm, what is the actual area of the playground in square meters?
The area of the playground of dimensions 18 and 240is 432 \(m^{2}\).
Given If the dimensions of the playground in the layout are given by 180 cm x 240 cm.
The area of rectangle is length *breadth.
The given playground is in the shape of rectangle because there are two sides given and both the sides are different. In a rectangle length of opposite side found to be equal and each side form an angle of 90 degree.
Area=length*breadth
=180*240
=43200 \(cm^{2}\)
We have to convert in meters so we have to divide by 100.
Area=43200 \(cm^{2}\)
=43200/100
=432 \(m^{2}\)
Hence the area of playground having dimensions 180 cm and 240 cm is 432\(m^{2}\).
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Fred invests 5,000 in an account that pays 1.5% annual interest,compounded semi-annually. What is his balance, to the nearest cent, at the end of 3 years? Find the balance first and then you APY - Annaul Percentage Yield.
The balance at the end of the of 3 years is $5,229.26.
The APY of the account is 15.06%
What is the balance and the APY?When an amount earns annual interest that is compounded semi-annually, it means that both the amount that is invested and the interest that has already been earned increases in value twice a year.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate = 1.5% / 2 = 0.75%m = number of compounding = 2 N = number of yearsBalance = 5000 x (1 + 0.0075)^(2 x 3)
5000 x 1.0075^6 = $5,229.26
The annual percentage yield is the actual interest that is earned on an investment after accounting for the number of compounding.
APY = (1 + r/n)^n - 1
APY = (1 + 0.015/2)^2 - 1
APY = 1.0075^2 - 1 = 0.01506 = 15.06%
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The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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How is the binary system similar to the decimal system?
Similarities between binary and decimal systems -
Arithmetic operations can be carried out on numbers in both the binary ands decimal systemsValues of each bit and digit in binary and decimal numbers respectively depends on how close they are to the decimal pointInteger and fraction components are represented in both decimal and binary systems.What is meant binary number?
Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.
What is decimal in number system?
A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number. The number is expressed in base-10 where each value is denoted by 0 or first nine positive integers. Each value in this number system has the place value of power 10.Learn more about decimal systems
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5×6+9×6+678×235
Please what is the answer to this
Answer:
159414
Step-by-step explanation:
5×6=30
9×6=54
678×235=159330
30+54+159330=159414
iris has 120 songs on her playlist write an expression
Answer
The expression that shows the total number of songs on Iris playlist is 120 + 4w
Step-by-step explanation:
A linear expression is an expression that has only one variable. The single variable is raised to the power of 1. An example of a linear expression is x + 10
Consider the following rational expression: 4y + 16 y+ 4 Step 2 of 2: Find the restricted values of y, if any, for the given rational expression Answer How to enter your answer (opens in new window) 2
The given rational expression is 4y + 16 y + 4. To find the restricted values of y, we need to identify any values of y that would make the expression undefined.
In this case, the expression is in the form of a sum, so we don't have any denominators that could lead to division by zero. Therefore, there are no restricted values of y for this rational expression.
The expression 4y + 16 y + 4 is defined for all real numbers. We can evaluate it for any value of y without encountering any restrictions.
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8 baskets have some apples in them, and the same number of apples are in each basket. 6 apples are added to each basket to make a total of 144 apples. What equation can go with this problem?
Answer:
8(x + 6) = 144
Step-by-step explanation:
We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:
? = 144
Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.
Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:
x + 6 = 144
Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:
8(x + 6) = 144
The central limit theorem is basic to the concept of statistical inference, because it permits us to draw conclusions about the population based strictly on sample data, and without having any knowledge about the distribution of the underlying population. O True False
The given statement that states “The central limit theorem is basic to the concept of statistical inference, because it permits us to draw conclusions about the population based strictly on sample data, and without having any knowledge about the distribution of the underlying population” is a true statement.
The central limit theorem plays an important role in the field of statistical inference.Statistical inference is the act of utilizing data from a random sample to deduce the features of an overall population. The foundation of statistical inference lies on the presumption that samples will vary to some extent from each other, whereas the population is considered to be constant.
The Central Limit Theorem (CLT) states that the average of a large number of independent random variables drawn from the same population is distributed around the true population mean and its deviation decreases as the sample size increases. This theorem's importance to the concept of statistical inference cannot be overstated because it allows us to draw conclusions about the population based solely on sample data, without having any information about the underlying population's distribution.
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Can somone please help me asap I’ll mark brainlist!!!!!
Answer:
405.45
Step-by-step explanation:
405.45
yw
What set of reflections would carry triangle ABC onto itself?
Choose the correct product of (5x − 11)2. 25x2 − 110x 121 25x2 − 121 25x2 121 25x2 110x 121.
Product is the multiplication of numbers. The product of the (5x-11)² is (25x²-110x+121).
What is a Product?A product is the multiplication of a number or expression to another expression.
We know in order to find the product of (5x-11)², we need to multiply each of the terms inside the bracket to each term in the second bracket. therefore, the solution of the problem can be given as,
\((5x-11)^2\\\\= (5x-11) \times (5x-11)\\\\= (5x \times 5x)-(5x \times 11)-(5x \times 11)(11 \times 11)\\\\= 25x^2 - 55x - 55x + 121\\\\= 25x -110x +121\)
Hence, the product of the (5x-11)² is (25x²-110x+121).
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