Alleen's mom is not correct because if her friend reads 20 pages, she can read 30 pages in the same time period.
To answer this question, we need to use the terms "ratio" and "proportion". The given ratio of Alleen's reading speed to her friend's speed is 1.5:1. If Alleen's friend reads 20 pages, we can use proportion to find how many pages Alleen can read:
1.5 / 1 = x / 20
To solve for x (the number of pages Alleen reads), we can cross-multiply:
1.5 * 20 = 1 * x
30 = x
So, if Alleen's friend reads 20 pages, Alleen can read 30 pages in the same time period.
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what is another name for plane j... I need help.
Answer:
Plane ACD
Step-by-step explanation:
Answer:
game I just need points sorry
Step-by-step explanation:
8. john is four times as old as his son. i john is 44 years old, how old is his son?
John's son is 11 years old.
We are given that John is four times as old as his son. Let's represent John's age as J and his son's age as S. According to the given information, we can write the equation J = 4S.
We also know that John is 44 years old, so we can substitute J with 44 in the equation: 44 = 4S.
To find the age of John's son, we need to solve this equation for S. We can do this by dividing both sides of the equation by 4:
44 ÷ 4 = (4S) ÷ 4
11 = S
Therefore, John's son is 11 years old.
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Speculate on the reason why telephone numbers, Social Security numbers, and serial numbers on most currencies do not have check digits.
Telephone numbers, Social Security numbers, and Serial numbers are simply unique identifiers for a particular piece of currency that the issuer can use to track the issuance and eventual redemption by the check digits.
What is Social Security number?The Social Security Administration (SSA) issues Social Security numbers (SSNs) as distinctive identifiers. To be eligible for Social Security benefits and several government services, you must have a Social Security number (SSN), which is a requirement for employment.Based on their biometric and demographic information, Indian citizens and passport holders can freely receive this 12-digit unique identity number.Any Indian resident may use their Aadhaar card as a single form of identification and residence verification. The SSN (Social Security Number), on the other hand, is used to track a worker's earnings and keep track of the social security payments they will be entitled to. In some circumstances, temporary employees are also permitted to receive an SSN.Learn more about Social Security number refer to ;
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The function C(t) = 25.50t - 16.75 represents the cost of buying a certain number of
tickets to the concert with a $16.75 coupon. The cost, C, is measured in dollars for t
tickets.
1. Find the value of C(4).
2.What does C(4) represent in the context of the problem?
3.Is the value of C(6.5) reasonable to interpret in the context of the problem?
Answer: 85.25
Step-by-step explanation:
Please help me. This is URGENT. I really need help,
Answer:
39 ovoid it e fifty from ff
Step-by-step explanation:
39
Liam is going to drive from his house to City A without stopping. Let � D represent Liam's distance from City A � t hours after leaving his house. A graph of � D is shown below. Write an equation for � D then state the � y-intercept of the graph and determine its interpretation in the context of the problem.
Answer: Without the graph or any additional information, it is difficult to provide a specific equation for ��D. However, we can make some general observations about the graph and interpret the y-intercept in the context of the problem.
From the graph, we can see that the distance Liam is from City A is decreasing as time passes. This makes sense since Liam is driving towards City A. We can also see that the graph appears to be a straight line, which suggests that Liam is traveling at a constant speed.
Assuming that Liam starts at a distance of D0 from City A, we can write the equation for ��D as:
��D = D0 - rt
where r is the constant speed at which Liam is traveling.
The y-intercept of the graph is the point where the line intersects the y-axis, which corresponds to the value of ��D when t = 0. In the context of the problem, this means the y-intercept represents the initial distance Liam is from City A before he starts driving. If we know the value of the y-intercept, we can determine the starting distance D0 by adding it to the distance Liam travels over time.
Without specific values, it is difficult to provide a more detailed interpretation of the y-intercept or to determine the actual equation for ��D.
Step-by-step explanation:
There are 7 gloves in the lost & found box. There are 2 blue gloves, 3 green gloves,
1 black glove, and 1 brown glove. What fraction of the gloves are black?
Answer: 1/7
Step-by-step explanation:
There are total of 7 gloves
There is 1 black glove
So take 1 divided by 7
The Fraction is 1/7
7. Of all the planets in our solar system, Jupiter has the greatest gravitational strength. a. If a 0.5 kg pair of running shoes would weigh 11.55 newtons on Jupiter, what is the strength of gravity there?
Answer:
Step-bGiven that,
Mass of pair of shoes, m = 05 kg
Weight of the shoes on Jupiter, W = 11.55 N
To find,
The strength of gravity on Jupiter.
Solution,
Weight of an object is given in terms of mass as follows :
W=mgW=mg
g is strength of gravity on Jupiter.
\begin{gathered}g=\dfrac{W}{m}\\\\g=\dfrac{11.55\ N}{0.5\ kg}\\\\g=23.1\ m/s^2\end{gathered}
g=
m
W
g=
0.5 kg
11.55 N
g=23.1 m/s
2
So, the strength of gravity on Jupiter is 23.1\ m/s^223.1 m/s
2y-step explanation:
The sales tax on clothing that cost $24 is $1.68. How much would sales tax be on clothing that cost $96?
Answer:
$6.72
Step-by-step explanation:
1.68 is 7% of 24, so there is a 7% tax.
96x.07= 6.72
Answer: The sales tax would be 6.72
Step-by-step explanation: 24 is 1/4 of 96 so that means that you have to multiply the sales tax number by 4 and 1.68 x 4 = 6.72
Process _____ is based on comparing the current amount of outcome variation against outcome specifications.
SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.
The process you are referring to is called Statistical Process Control (SPC), which involves monitoring and analyzing a process to ensure it is within the acceptable range of variation. This is done by comparing the current amount of outcome variation against the established outcome specifications, allowing for corrective action to be taken if necessary. SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.
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Process control is based on comparing the current amount of outcome variation against outcome specifications.
Process control is a management approach that involves monitoring and adjusting a process to ensure that it meets its intended outcome specifications.
The goal of process control is to maintain consistent outcomes over time, despite natural variation in the inputs or other factors that may affect the process.
In order to achieve this goal, process control typically involves monitoring the process using statistical methods and comparing the current level of variation in the process outcomes against the desired outcome specifications.
If the variation is within acceptable limits, the process is considered to be under control.
If the variation is outside of acceptable limits, the process may require adjustment or other corrective action to bring it back into control.
Overall, process control is an important tool in quality management, manufacturing, and other fields where consistent outcomes are critical to success.
By monitoring and adjusting processes over time, organizations can ensure that their products and services meet the needs and expectations of their customers, while minimizing waste, errors, and other sources of variation.
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If 3/x = 5/y, what is the value of y/x?
Answer: 5/3
Step-by-step explanation:
1. 3/x = 5/y
2. Cross multiply
3y = 5x
3. Dividing the sides by 3
y = 5x/3
4. Dividing the sides by x
y/x = 5/3
2 cards are chosen from a deck of cards. The first card is replaced before choosing the second card. What is the probability that theyboth will be face cards?
Explanation
Given: A deck of cards
We are required to determine the probability that the two chosen cards are face cards.
This is achieved thus:
We know that the face cards in a deck of cards are the Kings, Queens, and Jacks.
We also know that a deck of 52 cards can be broken down thus:
The probability of an event is given as:
\(P=\frac{Number\text{ }of\text{ }required\text{ }outcome}{Number\text{ }of\text{ }total\text{ }outcome}=\frac{n(E)}{n(S)}\)Therefore, we have:
\(\begin{gathered} n(E)=12 \\ n(S)=52 \\ P(Face\text{ }cards)=\frac{12}{52}\times\frac{12}{52} \\ =\frac{3}{13}\times\frac{3}{13} \\ =\frac{9}{169} \end{gathered}\)Hence, the answer is:
\(\frac{9}{169}\)
Which of the following does the Pythagorean Theorem reveal
According to the Pythagorean theorem, "in a right-angled triangle, the squares of the hypotenuse side is equivalent to the sum of squares of the other two sides," the hypotenuse side is the longest side of the triangle.
This is further explained below.
What is Pythagorean Theorem?Generally, The Pythagorean theorem is a well-known geometric theorem that states the number of squares just on the legs of a right triangle is equal to the square just on the hypotenuse (the side that is opposite the right angle).
This theorem can also be expressed in the familiar algebraic notation of a2 + b2 = c2, where a and b are the lengths of the legs of the triangle.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is an essential connection in Euclidean geometry that describes the relationships between the three sides of a right triangle.
It indicates that the total of the areas of the squares on the other two sides is equal to the area of the square whose side is the hypotenuse.
In conclusion, This means that the area of the square whose side is the hypotenuse is equal to that amount.
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CQ Not found: Answered Generally
.Specify the quantitative variables and identify the units for this problem. Select all that apply. A. Median age of townMedian age of town; the units are years B.City; the units are not specified C. Whether or not the store sells liquorsells liquor; the units are not specified D. Type offood; the units are not specified E. Average weekly salesAverage weekly sales; the units are dollars F. Median income of townMedian income of town; the units are dollars G. Town areaTown area; the units are square milessquare miles H. There are no quantitative variables.
The quantitative variables that can be identified from the problem are Median age of town, Average weekly sales, and Median income of town.
The units for Median age of town is years, Average weekly sales is dollars, and Median income of town is dollars.The remaining options City, Whether or not the store sells liquor, Type of food, and Town area have not specified the units and therefore are not quantitative variables. Quantitative variables are variables that are measured on a numerical scale. The problem in this question provides a list of options and asks to select the options that identify quantitative variables and specify their units. The following quantitative variables can be identified from the problem:Median age of town: Median age of town is a quantitative variable since it is measured in years. The median age of the town is the middle value of the ages of the population of the town. The unit for median age is years since it is a numerical scale that represents the age of the population in years.Average weekly sales: Average weekly sales is a quantitative variable since it is measured in dollars. The average weekly sales represent the mean sales of a store over a week, which can be calculated by dividing the total sales by seven. The unit for average weekly sales is dollars since it is a numerical scale that represents the currency value of sales.Median income of town: Median income of town is a quantitative variable since it is measured in dollars. The median income of the town is the middle value of the income of the population of the town. The unit for median income is dollars since it is a numerical scale that represents the income value of the population.
The units of quantitative variables are essential as they provide a measure of the scale of the variable. In this problem, the quantitative variables identified were Median age of town, Average weekly sales, and Median income of town. The units of these variables are years, dollars, and dollars, respectively. The remaining options do not specify the units and hence cannot be classified as quantitative variables.
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Please help I have no idea what the answer is
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
2. The vector A has magnitude 35 meter and positioned at 55 degree angle from positive
X-axis, what are the values of its x-component and y-component?
O AX = 22 m and Ay =29 m
Ax = 20 m and Ay = 30 m
Ax = 20 m and Ay = 29 m
Ax = 25 m and Ay = 27 m
Its x- and y components are Ax = 20 m and Ay = 29 m
Since vector A has a magnitude 35 m positioned at 55° from the positive x-axis, its x-component Ax = 35cos55°
= 35 × 0.5736
= 20.1 m
≅ 20 m and
its y-component
Ay = 35sin55°
= 35 × 0.8192
= 28.7 m
≅ 29 m
So, its x- and y components are Ax = 20 m and Ay = 29 m
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please help me on this
Answer:
reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y )
Thus
The given transformation rule (x, y ) → ( - x, y )
Represents a reflection in the y - axis
What is the correct answer?
The numbers in order from least to greatest are -20, -9, -5, -2, 2.2, 2.5, 2.7
The absolute value of 34 is |34|
The winner of the tournament is Whitney who scored -16.
February 2nd was warmer with a high temperature of 48 °F.
Chicken salad > Hamburger
What is the number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
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Studied: 87 100 94 79 92 100 95 83 89 99 100 91 89 95 100 93 96 83
Did not study: 82 72 45 91 58 83 65 87 90 77 73 89.
What is the mean of the group that did not study
Answer: 76
Step-by-step explanation: you add all the numbers than divide by the amount of numbers there is there
Answer:
76
Step-by-step explanation:
because the mean is also known as the average so according to my calculations the average of the ones that didn't study=76
Evaluate each expression.5. -36.97. 13 +-28. -12-8
7) 13 + -2 = 13 + (-2) = 13 - 2 = 11
8) -12 - 8 = - (12 + 8) = - (20) = -20
Select the correct answer.
Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel.
What is the cost of one hand towel and one bath towel?
A. The cost of one hand towel is $9 and the cost of one bath towel is $4.
B. The cost of one hand towel is $8 and the cost of one bath towel is $5.
C. The cost of one hand towel is $4 and the cost of one bath towel is $9.
D. The cost of one hand towel is $5 and the cost of one bath towel is $8.
The cost of one hand towel is $4 and the cost of one bath towel is $9
Which variable is the dependent variable and why?
number of gallons of gas 0,2,4,10,
number of miles driven
0,62,124,310
Answer:
number of miles driven
Step-by-step explanation:
the number of miles that a vehicle can go depends on the amount of gas the car has, the number of gallons of gas is the independent variable
In 2014, the enrollment at Luling High School was 625 students. In 2015, the enrollment grew to 650. By what percentage did the enrollment at Luling High School increase from 2014 to 2015?
Answer:
\(\%Increase = 4\%\)
Step-by-step explanation:
Given
\(Initial\ Population = 625\)
\(Final\ Population = 650\)
Required
Determine the percentage population increase
This is calculated using the following formula:
\(\%Increase = \frac{Final - Initial}{Initial} * 100\%\)
\(\%Increase = \frac{650 - 625}{625} * 100\%\)
\(\%Increase = \frac{25}{625} * 100\%\)
\(\%Increase = \frac{25* 100\%}{625}\)
\(\%Increase = \frac{2500\%}{625}\)
\(\%Increase = 4\%\)
Hence, there is a 4% increment from 2014 to 2015
Please help! The expressions 3x - 9 and 23 - 5x represent the lengths (in feet) of two sides of an equilateral triangle. Find the length of a side. Show your work.
We are dealing with an equilateral triangle which has 3 equal sides.
length of a side = 3 ft
Since the three sides of an equilateral triangle are equal and we are given two sides to have lengths of 3x - 9 and 23 - 5x , it means that;
3x - 9 = 23 - 5x
Rearranging this gives;
3x + 5x = 23 + 9
8x = 32
x = 32/8
x = 4
putting 4 for x in 3x - 9, we have;
3(4) - 9 = 3 ft
Thus,
length of a side = 3 ft
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Rewrite the quadratic function below in standard form y=3(x+3(x+5)
Answer:
\( \boxed {y =3 {x}^{2} + 8x + 15}\)
Step-by-step explanation:
\(y = 3(x + 3)(x + 5)\)
Expand/Distribute x+3 in x+5
\(y = 3( {x}^{2} + 8x + 15)\)
Distribute 3 in the expression.
\(y = 3 {x}^{2} + 24x + 45\)
What is the value of 3/8 divided by 9/10
Answer:
0.41666666666
Step-by-step explanation:
Answer:
The value is 5/12
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are blank
The values of x for inequality x +2x + 6 < 50 from the set {13, 14, 15, 16, 17} are 13 and 14.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
x +2x + 6 < 50
Also, the set is {13, 14, 15, 16, 17}
To find the values x from the set for which the inequality holds true,
Simplify the inequality,
3x + 6 < 50
3x < 50 - 6
3x < 44
x < 44 /3
x < 14.67
The value of x are smaller than 14.67,
So, the values of x from the set can be 13 and 14.
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Part A:
To find (f + g)(x), we need to add the two functions together.
(f + g)(x) = f(x) + g(x)
= 3x + 10 + x + 5 (substitute the given functions)
= 4x + 15 (combine like terms)
Therefore, (f + g)(x) = 4x + 15.
Part B:
To evaluate (f + g)(6), we substitute x = 6 in the (f + g)(x) function.
(f + g)(6) = 4(6) + 15
= 24 + 15
= 39
Therefore, (f + g)(6) = 39.
Part C:
The value of (f + g)(6) represents the total number of animals adopted by both shelters in 6 months. The function (f + g)(x) gives us the combined adoption rate of the two shelters at any given time x. So, when x = 6, the combined adoption rate was 39 animals.
(f + g)(6) = 39 represents the total number of animals adopted by both shelters in 6 months, based on the combined adoption rates of the two shelters.
Part A:
To find (f + g)(x), we add the functions f(x) and g(x):
(f + g)(x) = f(x) + g(x)
= (3x + 10) + (x + 5) (substitute the given functions)
= 4x + 15 (combine like terms)
Therefore, (f + g)(x) = 4x + 15.
Part B:
To evaluate (f + g)(6), we substitute x = 6 into the (f + g)(x) function:
(f + g)(6) = 4(6) + 15
= 24 + 15
= 39
Therefore, (f + g)(6) = 39.
Part C:
The value of (f + g)(6) represents the combined number of animals adopted by both shelters after 6 months. The function (f + g)(x) gives us the total adoption rate of the two shelters at any given time x. When x = 6, the combined adoption rate was 39 animals.
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a horizontal curve on a 4-lane highway (i.e., 2-lanes in each direction) has a superelevation of 6% and central angle of 40 degrees. the pt and pi are located at stations 322 50 and 320 08, respectively. the roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders. what is the highest safe speed of this curve and at what station is the pc located?
The station of Point of Curvature (PC) is 319+50.
A horizontal curve on a 4-lane highway (i.e., 2-lanes in each direction) has a superelevation of 6% and central angle of 40 degrees. The pt and pi are located at stations 322 50 and 320 08, respectively. The roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.
What is the highest safe speed of this curve and at what station is the PC located? Solution:The following is a solution to the problem discussed above.
We know that, Maximum Safe Speed = Vmax = √Rf Where,Rf = G x f (Radius of Flair)G = 32.2 ft/s2 (Acceleration due to Gravity)
f = Superelevation of the RoadwayVmax = √RfG= √(160f) ft/s
Equation 1 Where
f = Superelevation of the Roadway = 6% = 0.06Vmax = √(160 x 0.06) ft/s= √9.6 ft/s= 3.10 ft/sNow, Maximum Safe Speed = Vmax = 3.10 ft/s The Central Angle is given to be 40 degrees.
The Station of the PT and PI is given to be 322+50 and 320+08 respectively. Also, the roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.
To calculate the station of the Point of Curvature (PC), let's use the following formula:
PC = PI - (LC x sin ∆)
Where,
LC = Length of Curve in feet∆ = Central Angle of the Curve= 40 degrees= 0.698 radianPC = 320+08 - (LC x sin 0.698)
Equation 2Let's calculate the Length of Curve (LC) for the curve.
LC = (Deg. of Curvature/ 360°) x 2πRWhere, 2L = Width of Pavement= 10 x 2 + 8 x 2= 36 feet
R = (2L/ sin ∆) + (2L/ tan 2∆)R = (18/ sin 0.698) + (18/ tan 1.397)R = 362.61 feet
LC = (40/ 360) x 2π x 362.61 feet= 80.14 feet
Now, substitute the value of LC and ∆ in Equation 2 and calculate the value of PC.
PC = 320+08 - (80.14 x sin 0.698)= 320+08 - 58.12= 319+50Hence, the station of Point of Curvature (PC) is 319+50.
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If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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