Answer:
y + 4x
Step-by-step explanation:
For this problem, we will simply combine like terms using the distributive property and the commutative property.
First, let's use the commutative property:
2y + x + 3x - y
= 2y - y + x + 3x
Second, let's use the distributive property:
2y - y + x + 3x
= y ( 2 - 1 ) + x ( 1 + 3 )
= y ( 1 ) + x ( 4 )
= y + 4x
Hence, the simplification of 2y + x + 3x - y is y + 4x.
Cheers.
PLZ HURRY IM TIMEDDD
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answer:
B, second option: the product of three fourths is not equal to 9
The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.
What is algebraic equation?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12
The algebraic equation given by Sameer is wrong, the correct equation will be:
Let the total number of toppings be x.
\(\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16\)
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Find the area of the shaded region. Round your answer to the nearest tenth.
9x9=81, rounding to nearest tenth = 80
answer:
to find the area of a square multiply the length and height which in this case is 9 and 9
9x9=81
Step-by-step explanation:
Question 4 Given that P = 6 and a 2, which yields a quotient greater than -9? O A 3 B 3() c Зр (-2) (-p) (-3)
Answer:
I think is A or B I don't know
Answer:
a
Step-by-step explanation:
Tickets for a concert are $8 for children and $12 for adults. How many child tickets and adult tickets can be purchased for a total cost of $100?
Answer:
5 Adults Tickets5 Child Ticketscan be sold for a total of $100
Step-by-step explanation:
We can do this, 8+12=20
20x5=100
So, we have to do...
20x5=100$
That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.
Thanks!
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The James used their sprinkler for 40 hours last month and the Jenkins used their sprinkler for 35 hours. The total output of the two houses was 1525 L. If their combined rate of usage was 40 L/hr, what is the rate of usage for each house?
Answer:
Step-by-step explanation:
.................8908989
How much is 20% off of $90.75?
In a football game, a team loses 8 yards, then loses 3 yards, then loses 11 yards.
What is overall change in the number of yards?
Answer:
the lost 22 yards altogether
they now have -22 yards i believe
Answer:
i think -22 might be the answer
Step-by-step explanation:
Graph with x axis labeled Quantity Demanded and numbered in hundreds, 100 to 500. Y axis is Price, with prices 0 to 6. A line representing the Demand Curve starts at 100, 5 and drops at an angle down to 500, 1. Solid lines extend upward from the x axis to the green line at points 100, 5, 200, 4, 300, 3, 400, 2, and 500, 1. Public Domain Based on the graph, how is quantity demanded related to price? (5 points) Quantity demanded decreases as price decreases. Quantity demanded is equal to the product's price. Quantity demanded decreases as price increases. Quantity demanded increases as price increases.
Based on the information, the correct information regarding the graph is that C. Quantity demanded decreases as price increase.
How to explain the graphThe graph shows that for every increase of 100 units of the goods demanded, price reduces by 1 unit.
When 500 units was demanded, the price was at 1. Therefore, if 550 units are demanded, the price will reduce by half, which means the price would drop to 0.5.
The price would drop to 0.5. In this case, the the correct information regarding the graph is that Quantity demanded decreases as price increase.
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The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.
The expected value of the purchase of a ticket is -$2.95.
To find the expected value of the purchase of a ticket, we need to consider the probability of winning and the amount of money gained or lost.
Given:
The cost of a raffle ticket is $5.
The prize is a camera worth $200.
One hundred tickets are sold.
To calculate the expected value, we multiply the probability of winning by the value gained and subtract the probability of not winning by the cost of the ticket.
Probability of winning:
Since there are 100 tickets sold and only one winner, the probability of winning is 1/100, or 0.01.
Value gained:
If the ticket is a winning ticket, the value gained is $200.
Probability of not winning:
The probability of not winning is 99/100, or 0.99, as there is only one winner out of 100 tickets.
Cost of the ticket:
The cost of a ticket is $5.
Now, let's calculate the expected value:
Expected value = (Probability of winning × Value gained) - (Probability of not winning × Cost of ticket)
= (0.01 × $200) - (0.99 × $5)
= $2 - $4.95
= -$2.95
The expected value of the purchase of a ticket is -$2.95.
This means that, on average, for each raffle ticket purchased, a person can expect to lose approximately $2.95.
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The graph of function f(x) is shown below. At which value of x is the slope of the tangent line to the curve equal to 0?
The slope of the tangent is equal to zero when the derivative is equal to zero, in other words when the function attains a local extremum (maximum or minimum)
So we have to ask ourselves, at which "x" value does f(x) admit a maximum or minimum.
From the graph we can tell that it is at the point of abscissa 2
Answer: x=2The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
please I really need help with this
Pls help I am stuck Tysm
The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.
How did Katie miss a length ?Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.
This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.
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find the number of outfits a girl could wear if she has 7 skirts,4 shirts and 2 pairs of shoes
The number of outfits is 56
How to determine the number of outfits?The given parameters are:
Skirts = 7
Shirt = 4
Shoes = 2
The number of outfits is calculated as:
Number of outfits = Skirts * Shirt * Shoes
So, we have:
Number of outfits = 7 * 4 * 2
Evaluate
Number of outfits = 56
Hence, the number of outfits is 56
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Find the area of each figure. Round to the nearest tenth if necessary
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer
complete the number pattern 9;27;81?
Answer:
243
Step-by-step explanation:
Going in times 3 so 81 x 3 = 243
Match the simplified expressions to the given expressions.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles: X^4, X^36, X^8, X^3, X^12
Pairs:
X^6 / X^2
X^6 x X^2
(X^6)^2
Answer:
Step-by-step explanation:
0x-7*9 = 0
Solve for x.
Answer:
Undefined
Step by step explaination:
by order of operations we know that we multiply first;
so, 0x-(7*9)=0
1) Multiply the ones in brackets first:
0x-63=0
2) To make X the subject perform the opposite operation:
0x-64+63=0+63
0x=63
3) Divide 0 on both sides;
0x/0= 63/0
therefore; x is undefined
\(0x - 7 \times 9 = 0 \\ \\ 0x - 63 = 0 \\ \\ 0x = 63 \\ \\ x = \frac{63}{0} \\ \\ x = 0.\)
It shows the value of x is undefined .
A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?
The area of the complex figure is 132 square units
How to determine the area
From the information given, we have that the composite shape is a combination of a:
SquareRectangleThe formula for area of a square is given as:
Area = a ²
Where 'a' is the length of it side
Area = 6²
Area of square = 36 square units
The formula for area of a rectangle is given as:
Area = width × length
Area = 8 × 12
Area of rectangle = 96 square units
Area of the complex figure = Area of square + area of rectangle
= 36 + 96
= 132 square units
Thus, the area of the complex figure is 132 square units
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car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.
Answer:
It is the portion of the cost based on renting a car for d days
Step-by-step explanation:
Given:
Total cost = 15 + 18d
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change.
Fixed cost = base rate = 15
Variable cost changes during production process. The variable cost in the above varies with the number of days (d)
Therefore, 18d is the portion of the cost based on renting a car for d days.
If you rent the car for 1 day
Total cost = 15 + 18d
= 15 + 18(1)
= 15 + 18
= 33
Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray
Pls help with math !!!
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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can anyone be able to find the following…
Excluded value(s):
LCD:
Equation after multiplying by LCD:
Solution(s):
Answer:
excluded values: -2, 2LCD: (x -2)(x +2)equation: (x+2) +(x -2) = 4solution: noneStep-by-step explanation:
A) Excluded ValuesExcluded values are values of x that are not in the domain of the given equation. That is, they are values that make the equation "undefined." In general, those are values that make any of the denominators be zero.
x -2 = 0 ⇒ x = 2 must be excluded
x +2 = 0 ⇒ x = -2 must be excluded
x² -4 = (x +2)(x -2) ⇒ x = -2, 2 must be excluded
The excluded values are -2, 2.
__
B) LCDThe least common denominator is the product of the unique denominator factors:
LCD = (x -2)(x +2)
__
C) Equation after Multiplying by the LCDMultiplying by the LCD gives ...
\(\dfrac{1\cdot(x -2)(x+2)}{x-2}+\dfrac{1\cdot(x-2)(x+2)}{x+2}=\dfrac{4\cdot(x-2)(x+2)}{(x-2)(x+2)}\\\\(x+2)+(x-2)=4\)
__
D) SolutionSimplifying the above equation and solving for x gives ...
\(2x=4\qquad\text{simplify}\\\\x=2\qquad\text{divide by 2; not an allowed solution}\)
The value we obtain for x is not an allowed value. This equation has ...
no solutions
__
Alternate SolutionIf we subtract the right side of the equation from both sides, we get ...
\(\dfrac{1}{x-2}+\dfrac{1}{x+2}-\dfrac{4}{(x-2)(x+2)}=0\\\\\dfrac{(x+2)+(x-2)-4}{(x-2)(x+2)}=0\\\\\dfrac{2(x-2)}{(x+2)(x-2)}=0\qquad\text{simplify, factor}\\\\\dfrac{2}{x+2}=0\qquad\text{cancel common factors; this has }\boxed{\textbf{no solution}}\)
There is no value of x that will make 2 = 0 be a true statement.
Note that we have arrived at the conclusion the equation has NO SOLUTION without having to deal with any extraneous solutions.
__
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b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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A tennis racket is normally priced at 90.00 is on for 30% off. What is an expression for the sale price of the racket,
Answer:
90×0.7
Step-by-step explanation:
I think this is the correct answer.
100-30=70
70=0.7
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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1.)For air travelers, one of the biggest complaints is of the waiting time between when the airplane taxis away from the terminal until the flight takes off. This waiting time is known to have a skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled. Describe the sampling distribution of the mean waiting time between when the airplane taxis away from the terminal until the flight takes off for these 100 flights.
Answer
Distribution is skewed-right with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is skewed-right with mean = 10 minutes and standard error = 8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 0.8 minutes.
Distribution is approximately normal with mean = 10 minutes and standard error = 8 minutes.
2.)
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?Answer
0.029
0.050
0.091
0.120
3.)
A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product. The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes. What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?Answer
0.22313
0.48658
0.51342
0.77687
4.)
Which of the following statements is true?Answer
If the confidence interval estimate for the regression slope coefficient crosses over zero, the average change in y for a one-unit change in x may be zero.
If the regression slope coefficient is very close to zero, this means that the relationship between the x and y variable is statistically insignificant.
A statistically significant regression slope coefficient indicates that for a one-unit change in y there will be a positive change in x by an amount equal to the regression slope coefficient.
It is acceptable to make predictions for y using x values that are outside the range of the data that was used in the regression.
5.)
An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What total sample size would the economist need to use for a 95% confidence interval if the width of the interval should not be more than $100?Answer
n = 1537
n = 385
n = 40
n = 20
Answer:
I can tell it's the answer number 5
Hi, can you help me with this, step by step explanation so that i can undertand?
What is the sum of the integers between 10 and 200 which are divisible by 7?
Answer:
Given a = 14
d = 7
an = 196
a + ( n - 1 ) d = 169
14 + ( n - 1 ) 7 = 169
( n - 1 ) 7 = 182
n - 1 = 26
n = 26 + 1
n = 27
Sum = n / 2 ( a + an )
27 / 2 ( 14 + 196 )
27 ( 105 )
2835
Answer:
2835.
Step-by-step explanation:
The first integer divisible by 7 is 14 and the last one is 196 ( as 7*28) = 196).
We have an Arithmetic series here where each term is increased by 7 to get the next one.
The number of terms (n) = (196 - 14)/ 7 + 1 = 26 + 1 = 27.
The formula for the sum of n terms = (n/2)(a + l) where a = first and l = last term.
So the answer is :
(27/2)( 14 + 196)
= 13.5 * 210
= 2835.