Let variable P be the total number of pages in the book, and let variable n be the number of nights Nolan reads the book. Let variable x be the number of pages Nolan reads each night. Then, we can write:
x*n = P
This equation states that the total number of pages Nolan reads (x times n) is equal to the total number of pages in the book (P).
What is variable?
In mathematics, a variable is a symbol or letter that represents a value that can change or vary in a mathematical expression or equation. The value of the variable is not fixed, but can take different values depending on the context or the values assigned to other variables.
Variables are used in mathematics to represent unknown or unspecified quantities, as well as quantities that can change or vary. For example, in the equation y = mx + b, the variables y and x represent the dependent and independent variables, respectively, and their values can change depending on the values of the other variables, such as the slope m and the y-intercept b.
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Complete question is: Nolan is real book for his English class. He reads the same number of pages each night. The graph shows the number of pages me to eat over time. Write an equation to represent the situation. the variable P be the total number of pages in the book, and let variable n be the number of nights Nolan reads the book. variable x be the number of pages Nolan reads each night.
Use the graph to solve the system of linear equations. 2x−y=−2 2x+4y=8
Mason answers a question correctly in a trivia game and now has 0 points. The question was worth
15 points. Mason uses a number line to represent the number of points he received for answering
the question correctly and the number of points he had before answering the question. Where
would the two points be located on the number line?
Answer:
Mason recieved 15 points for answering the question correctly so that means that he had -15 points before. The points would be at -15 and 0.
0 and -15 because he is at 0 after the question so he would have been in the negatives before the question. He would have been at -15 before the question.
The sum of a numbers is 40. Their difference is 14. What are the 2 numbers?
Answer:
13 and 27
Step-by-step explanation:
27-13=14
13+27=40
1. The triangles below are similar. Which series of
transformations
maps AABC onto ADEF?
9
B
3
DA
13.5
E
3. Rectangle DEFG is similar to rectangle JKLM.
Rectangle DEFG has a length of 5 units and a
perimeter of 16 units. Rectangle JKLM has a
length of 10 units. What is the perimeter of
rectangle JKLM?
4.5
11
L
2. The length and width of a rectangle are 5 feet and
feet, respectively. A similar rectangle has a width
of 8 feet. What is the length of the second
rectangle?
On series of transformation:
ΔABC and ΔDEF has a D, reflection followed by a dilationlength of the second rectangle is 4 feetperimeter of the rectangle is 6How to find series of transformation and length of sides?1. The series of transformations that maps ΔABC onto ΔDEF is a D, reflection followed by a dilation with a scale factor of 1.5, over the y-axis.
2. To find the length of the second rectangle, the two rectangles are similar, which means that their corresponding sides are proportional. Let's use x to represent the length of the second rectangle. Then:
5/2 = x/8
To solve for x, cross-multiply and simplify:
2x = 40/5
2x = 8
x = 4
Therefore, the length of the second rectangle is 4 feet.
3. Let w be the width of the rectangle. The perimeter is given by:
2(5) + 2w = 16
Simplifying:
2w = 6
w = 3
The length of the rectangle can be found using the ratio of corresponding sides:
5/3 = 10/l
Solving for l:
l = 6
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Complete question:
1. The triangles below are similar. Which series of
transformations
maps ΔABC onto ΔDEF?
9
B
3
D
13.5
E
a. translation followed by a rotation
b. rotation followed by a dilation
c. translation followed by a dilation
d. reflection followed by a dilation
3. Rectangle DEFG is similar to rectangle JKLM.
Rectangle DEFG has a length of 5 units and a
perimeter of 16 units. Rectangle JKLM has a
length of 10 units. What is the perimeter of
rectangle JKLM?
4.5
11
L
2. The length and width of a rectangle are 5 feet and 2
feet, respectively. A similar rectangle has a width
of 8 feet. What is the length of the second
rectangle?
Calculus. Draw the graph of a cubic polynomial. Question1
Sketch the graph of x^3-4x^2-11x+30
Step-by-step explanation:
Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph
What’s the answer to the questions below? Plsss help
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
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Simplify the Linear Expression 6(y + 2) + 9 Responses
The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear expression is given as,
⇒ 6(y + 2) + 9
Simplify the expression, then we have
⇒ 6(y + 2) + 9
⇒ 6y + 18 + 9
⇒ 6y + 27
The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.
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the sum of a number with the square of its following algebraic language
Answer:
a + (a+1)²
Step-by-step explanation:
The following of the number "a" is:
a+1
Then:
The sum of a number with the square of its following algebraic language is:
a + (a+1)²
The algebraic expression for the sum of a number with the square of its following number can be written as:
x + ( x + 1)²Where x is the given number and (x + 1 )² represents the square of the following number.
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Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)
Answer: g(x)-f(x)=-x³-3x-3
Step-by-step explanation:
Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).
x-3-(x³+4x) [distribute -1]
x-3-x³-4x [combine like terms]
-3-x³-3x [rewrite]
-x³-3x-3
Now, we know that g(x)-f(x)=-x³-3x-3.
PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!
Answer:
(3x+2)(x-5)
Step-by-step explanation:
Factor by grouping
\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)
A store sells bows in packages. The table shows how the number of bows relates to the number of packages. How many bows will be in 14 packages? ratios and rates test Group of answer choices 104 410 140 1400
Answer:
140 bows
Step-by-step explanation:
hope this helps :)
PLEASE HELP...
Write an iterated integral of a continuous function f over the region. Use the order dy dx.
R is the triangular region with vertices (0,0), (0,15), and (5,0).
(I just need the double iterated integral no solving necessary)
THANK YOU!!
Answer:
\(\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx\)
========================================================
Explanation:
We're tasked to find the values of a,b,c,d in the following
\(\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx\)
The equation of the line through the points (0,15) and (5,0) is y = -3x+15
When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.
So this means c = 0 and d = -3x+15
The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.
-----------------
Since,
a = 0b = 5c = 0d = -3x+15we go from this
\(\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx\)
to this
\(\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx\)
Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?
The price for one candle holder before taxes is $30.88.
What is a tax?It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.
The total payment including tax is $100.
The change received is $32.16.
The rate of sale tax is 6%.
The cost of one candle including tax is given by
(100 - 32.16) / 2 = 32.92
6% of a candle is given by
32.92 * 0.06 = 2.0352
The cost of one candle without tax is given by
32.92 - 2.0352 = 30.88
Hence, the cost of one candle without tax is $30.88.
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Dinner at chili's came to 27.00. You want to leave a tip of 15%,how much money will you leave for just the tip
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
The true statement, regarding the signal of the graphed function, is given by:
F(x) > 0 over the interval (–∞, –4).
When a function is positive and when it is negative?Looking at it's graph, we have that:
The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4, and positive to the left, hence the correct statement is given by:
F(x) > 0 over the interval (–∞, –4).
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Que sucede cuando dividimos un numero entre si mismo
Answer:
no pasa nada
Step-by-step explanation:
espero que eso te ayude:)
Answer:
Cualquier número dividido entre si mismo da como resultado 1
The heights of the 228 men who filled out Survey 1 last semester follow the normal curve fairly closely with an average of about 70.5" and a SD of about 2.5 ".
What percent of the students are over 71.5 "?
Do the problem in steps
First convert 71.5 " to a z score.0.40 tries 0/5In the problem above you were given the height and asked to find the percentile. Now, you'll be going in the opposite direction-- you'll be given the percentile (placement on the normal curve) and asked to find the height. In both cases the first step is to find the z-score.
If someone is in the 92 th percentile in height (i.e., is taller than 92 % of the other males in the class), let's work on finding his height. First we'll find the z score.
(Do NOT look up the z score for Area= 92 % on the table b/c the Areas given on the table are MIDDLE areas. 92 th percentile means 92 % to the LEFT, and 8 % in the right tail.)
What is the Z-score corresponding to the middle area?(If the middle area falls between two lines on the table, you may use the closest one. Put Z-score in blank below.)
Now change the z score to a height. (Remember the z score tells how many SD's the value is from the average. So a z score of 2 means the person is 2 SDs above average which would be 2*(2.5") + 70.5".)
What is his height?
The male in the 92nd percentile in height would be 73.75 inches tall.
To find the z-score corresponding to the 92nd percentile, we need to find the value on the standard normal curve such that 92% of the area is to the left of that value.
Using the standard normal table, we can find the z-score closest to 0.92 which is 1.75.
Now that we have the z-score, we can use the following formula to find the height:
height = z-score * standard deviation + average height
So, using the given values of average height (70.5") and standard deviation (2.5"):
height = 1.75 * 2.5 + 70.5
height = 73.75"
Therefore, a male in the 92nd percentile in height would be 73.75 inches tall.
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Evaluate the expression 2x-7 for x = -4
Answer:
-15
Step-by-step explanation:
The solution of expression for x = - 4 is,
⇒ - 15
We have to given that,
An expression is,
⇒ 2x - 7
Now, We can simplify the expression for x = - 4 as,
An expression is,
⇒ 2x - 7
Plug x = - 4;
⇒ 2 × - 4 - 7
⇒ - 8 - 7
⇒ - 15
Thus, The solution of expression for x = - 4 is,
⇒ - 15
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
Quarterback Joe Tarkenton can throw a football downfield at a speed of 60 feet per second. When releasing the ball, his arm is 6 feet above ground. The height of the ball after seconds is given by the function: h(t)=−16^2+60+6.
What is the maximum height of the football?
If the ball is not caught, how many seconds will it take to reach the ground after being thrown?
A: maximum height=3.58 feet; time=62.25 seconds
B: maximum height=62.52 feet; time=3.58 seconds
C: maximum height=62.25 feet; time=3.85 seconds
D: maximum height=3.85 feet; time=62.52 seconds
Answer:
C: maximum height=62.25 feet; time=3.85 seconds
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
\(f(x) = ax^{2} + bx + c\)
It's vertex is the point \((x_{v}, y_{v})\)
In which
\(x_{v} = -\frac{b}{2a}\)
\(y_{v} = -\frac{\Delta}{4a}\)
Where
\(\Delta = b^2-4ac\)
If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
In this question:
The height of the ball, after t seconds, is given by the following equation:
\(h(t) = -16t^2 + 60t + 6\)
Which is a quadratic equation with \(a = -16, b = 60, c = 6\)
Maximum height:
Since a < 0, we can find the maximum value of the function. We have that:
\(\Delta = 60^{2} - 4(-16)(6) = 3984\)
\(y_{v} = -\frac{3984}{4(-16)} = 62.25\)
The maximum height is of 62.25 feet.
Seconds to reach the ground:
\(x_{1} = \frac{-60 + \sqrt{3984}}{2*(-16)} = -0.1\)
\(x_{2} = \frac{-60 - \sqrt{3984}}{2*(-16)} = 3.85\)
Since time is a positive measure, 3.85 seconds.
The correct answer is given by option C.
The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
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Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
how many cups of milk is that
how many cups of cocoa is that
Han produced hot chocolate by combining 6 tablespoons of cocoa with 4 cups of milk. For every spoonful of cocoa, 0.67 glasses of milk are required.
The relationship between two values is described by a ratio. It displays how frequently one value appears in another. The answer to this question will depend on how many cups of milk there are to every tablespoon of chocolate.
Divide the provided cups of coffee by the cost of the tablespoon of coffee to get the required quantity of milk per tablespoon of chocolate.
Cups per tablespoon of coffee equal cups of milk divided by tablespoons of cocoa.
Given that,
Number of cups of milk = 4
Tablespoons of cocoa = 6
4/6=0.67 cups
Therefore, for every spoonful of cocoa, 0.67 glasses of milk are required.
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