The value of p is p = 3.17.
What is a linear equation in one variable?
The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
The given equation is 9p-3p-5=19.
To solve for p, we need to isolate the p term on one side of the equation. Currently, p is part of the term 9p-3p, which can be simplified to 6p.
We can then rewrite the equation as:
6p = 19
To solve for p, we need to divide both sides by 6:
p = 19/6
= 3.17
Therefore, the value of p is p = 3.17.
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Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5). They plan to meet up at the hill located halfway between there two houses what is the coordinate location of the Hill
The coordinate location of the hill halfway between them is (1, -1).
How to find the distance between two points?Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5). They plan to meet up at the hill located halfway between there two houses.
The coordinate location of the hill can be calculated as follows:
using mid point formula,
(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
using the end points (-2, 3) and (4, -5)
(x, y) = (-2 + 4 / 2, 3 - 5 / 2)
(x, y) = (2 / 2. -2 / 2)
(x, y) = (1, -1)
Therefore, the coordinate location of the hill is (1, -1).
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14. Harold borrowed $9,000 for 5 years at an APR of 3.6%.
a. What is Harold's monthly payment? Round to the nearest cent. (Round your answer to the nearest cent and use the rounded answer for further calculations)
b. What is the total amount that Harold paid in monthly payments for the loan?
c. What is the amount Harold will pay in finance charges?
a. Harold's monthly payment is given as follows: $164.13.
b. The total amount paid is given as follows: $9,847.8.
c. The finance charge is of: $847.8.
What is the monthly payment formula?The monthly payment formula is defined as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which the parameters are listed as follows:
P is the initial amount.r is the interest rate.n is the number of payments.The values of these parameters for this problem are given as follows:
P = 9000, r = 0.036, n = 5 \times 12 = 60.
Then:
r/12 = 0.036/12 = 0.003.
Then the monthly payment is calculated as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 9000\frac{(0.003)(1.003)^{60}}{(1.003)^{60} - 1}[/tex]
A = $164.13.
Then the total amount paid is of:
Total = 60 x 164.13 = $9,847.8.
Meaning that the finance charge is given as follows:
9847.8 - 9000 = $847.8.
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class council is selling prom tickets for $55 per person.the senior class consists of 342 students,who are each allowed to bring one date from another school.complete the table(if needed) and answer the questions below
Answer: Here is a completed table for the scenario described:
Class Number of Students Number of Dates Total Tickets Sold
Senior 342 342 684
Total Revenue
$37,620
Based on this information, the following information can be determined:
The senior class is selling a total of 684 prom tickets.
The total revenue from prom ticket sales for the senior class is $37,620.
I hope this helps! Let me know if you have any other questions.
Madelyn and Kaia are competing to see who can sell the most tickets for the Winter Dance. On Monday, Madelyn sold 22 and then sold 30 per day after that.
Kaia sold 53 on Monday and then sold 20 per day after that.
Write an equation to represent the number of tickets that Madelyn sold.
Write an equation to represent the number of tickets that Kaia sold.
Write a system of equations. What is the appropriate method for solving the system?
Solve the system of equations. Explain the meaning of your solution.
The equations found for the number of tickets sold when 22 tickets are sold on Monday and 30 per day after are sold by Madelyn, and 53 tickets are sold on Monday and 20 per day after that are;
Tickets sold by Madelyn is; y = 22 + 30·x
Tickets sold by Kaia is; y = 53 + 20·x
A system of equation obtained from the details in the question can be presented as follows
y = 22 + 30·x...(1)
y = 53 + 20·x...(2)
The appropriate method for solving the system is to equate equivalent values of one of the variable obtained from each equation in the system.
The solution of the system of equation is; x = 3.1, which indicates that it takes about 3.1 days for the number of tickets sold by Madelyn and Kaia to be equivalent.
What is an equation?An equation consists of two expressions that are joined by the 'equals to' (=) sign.
The number of tickets for the Winter Dance Madelyn sold = 22
Number of tickets per day Madelyn sold after that = 30 per day
Number of tickets Kaia sold on Monday = 53
Number of tickets per day Kaia sold after that = 20 per day
Let x represent the number of days since Monday, and let y represent the number of tickets sold
Therefore;
The number of tickets Madelyn sold, y = 22 + 30·x
The number of tickets Kaia sold, y = 53 + 20·x
The system of equations from the specified information is the equation for the number of tickets Madelyn sold and the number of tickets Kaia sold combined, which can be presented as follows;
y = 22 + 30·x...(1)
y = 53 + 20·x...(2)
The method of solving the equations is by plugging in the value of y from equation (1) in equation (2), as follows;
22 + 30·x = 53 + 20·x
30·x - 20·x = 53 - 22 = 31
10·x = 31
x = 31 ÷ 10 = 3.1
The meaning of the solution of the system of equation, x = 3.1, is that the number of days for the number of tickets sold by Madelyn and Kaia to be the same is about 3 days
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It costs $270 for 3 people to go on a fishing trip. How many people can go for $1,080?
Answer:12
Step-by-step explanation:
270/3=90, this is the amount it costs for 1 person to go
1080/90=12
12 people can go for $1080
The length of a side of a cube is 4x units. In cubic units, what is the volume of the cube?
Answer:
volume of cube= l^ 3
=(4x)^3
=64x^3 cubic units
State all integer values of x in the interval [-4, 2] that satisfy the following Inequality:
4x + 5<-6
Integer values of x in the interval [-4, 2] that satisfy the following Inequality: 4x + 5 < -6 are -4 and -3.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
A sign of inequality can be used to show that one of the two variables is larger than, more than or equal to, less than, or equal to another value.
Income gap, gender inequality, access to health care, and social class are some of the most prominent instances of social inequality.
Given the inequality:
4x + 5 < -6
Therefore the all values of x which satisfy the given inequality on the interval [-4,2].
So, x= -4 and x= -3
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one number is 4 less than 3 times a second number. Two times the first number decreased by two times the second is 8. what is the value of the larger number?
A.4
B.12
C.8
D.2
E.14
Answer:
Step-by-step explanation: To solve the problem, we can use the given information to set up a system of equations and solve for the values of $x$ and $y$. Specifically, we are given that one number is 4 less than 3 times a second number, and that two times the first number decreased by two times the second is 8.
Let $x$ represent the larger number, and $y$ represent the second number. We can write the given information as a system of equations as follows:
x &= 3y - 4
2x - 2y &= 8
Solving this system of equations, we find that $x = 12$ and $y = 2$. Therefore, the value of the larger number is 12
imagine that we are interested in 1 bed and 1 bath condos in the pacific heights neighborhood of san francisco. let's say that the empirical distribution of the mean square footage generated via bootstrapping is roughly normal with a mean of 883 sqft and a standard deviation of 270 sqft. what range of square footage values would contain 95% of the data?
The range of the square footage values for the given mean , standard deviation and 95% confidence interval is equal to (1257.26 , 508.74).
As given in the question,
Sample size 'n' = 2
Sample mean '[tex]\bar{x}[/tex]' = 883 sq ft
Standard deviation 'σ' = 270 sq ft
95% confidence interval.
95% confidence interval = 1 - 0.95
= 0.05
Critical value for 95% is [tex]Z_{0.05}[/tex] = 1.96
Population mean for the given confidence interval is given by :
= [tex]\bar{x}[/tex] ± [tex]Z_{0.05}[/tex] (σ / √n)
= 883 ± 1.96 ( 270 / √2)
= 883 ± 374.26
= ( 1257.26 , 508.74 )
Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).
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A line passes through the points (−4, 7) and (5, −8). What is the slope of the line?
Answer:
-5/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1) ==> (x1, y1), (x2, y2) are the coordinates and
m is the slope
(x1, y1), (x2, y2) ==> (x1=-4, y1=7), (x2=5, y2=-8)
m=(-8-7)/(5-(-4)) ==> plug in known values
m=(-15)/(5+4) ==> simplify
m=-15/9
m=-5/3
Write as a verbal expression
The verbal expression for equation 10+y is "10 is added to variable y"
Verbal expression:Standardized terms for verbal expressions in mathematics help translate mathematical expressions into written form.
To solve the given word problems, we need to translate the given verbal expression into a mathematical expression using Mathematical operations like adding, subtracting, multiplication and division.
Here we have
Mathematical expression 10 + y
Here 10 is the numerical value and y is a variable combined with the symbol Plus (+) which indicates 10 and y are added together
Therefore,
The verbal expression for equation 10+y is "10 is added to variable y"
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LWhat's the slope of the line connecting (1, 3) to (4, -2)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
-5/3
Step-by-step explanation:
Let's use the formula [tex]S = \frac{rise}{run}[/tex]
We can rewrite this as [tex]S = \frac{y_{1}-y_{2}}{x_1-x_2}[/tex]
The points we have are (1, 3) and (4, -2)
Now we just insert them into the equation and solve:
[tex]\frac{3-(-2)}{1-4}=\\\frac{5}{-3}=\\-\frac{5}{3}[/tex]
A function p(x) is shown on the graph below.
O True
O False
Answer:
True
Step-by-step explanation:
The point [tex](0,3)[/tex] lies on the graph.
which types of triangles can always be used as a counterexample to the statement ""all angles in a triangle are acute""? select all that apply.
Answer: Equilateral Triangles
Step-by-step explanation:
Equilateral triangles all have the same 3 angles, which are 60 degrees.
[tex]this is not high school this is a 6th grader work[/tex]3 8 9 ÷ 7 10 =
we need someone to answer this and whoever does will be the smartest
Answer:
.54788732
Step-by-step explanation:
Juan received 570 votes in a school election. If he received 216 less than 2/3 of the total number of votes, how
many students voted in the election?
a) 524
b) 531
c) 786
d) 1179
Answer:
d)1179
2/3 * x - 216 = 570
3/2 * (2/3 * x - 216) = 3/2 * 570
x - 324 = 855
x = 855 + 324
x=1179
There are 164 students voted in the election.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Juan received 570 votes in a school election.
And, He received 216 less than 2/3 of the total number of votes.
Now,
Let number of students voted in the election = x
So, We can formulate;
⇒ 2/3 of 570 - 216
Solve as;
⇒ 2/3 × 570 - 216
⇒ 2 × 190 - 216
⇒ 380 - 216
⇒ 164
Thus, Number of students voted in the election = 164
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PLEASE HELP ASAP!!!
Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.
Which equation can Sharon use to find c, the average amount the cable company charges per channel?
0.20(c - 300)
0.20c - 300
300(c - 0.20)
300c - 0.20
How much on average does the cable company charge per channel?
The equation Sharon can use to find c, the average amount the cable company charges per channel is 300(c - 0.20) = 180.
The cable company charges an average of $0.80 per channel.
What is an Equation?An equation involves two expressions or statement on two sides connected with an equal sign.
Total number of channels = 300
Let c be the cable company charges per channel.
Then the charge satellite company charges per channel = c - 0.20
Monthly charge of satellite company = 300(c - 0.20)
Monthly satellite bill = $180
So, 300(c - 0.20) = $180
⇒ c - 0.20 = 180/300
⇒ c - 0.20 = 0.60
⇒ c = 0.60 + 0.20
⇒ c = 0.80
Hence the equation used to find the cable company charge per channel is 300(c - 0.20) = 180 and the cable company charge per channel is $0.80.
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given a cubic function, what would be the maximum number changes of direction (turning points)? given a cubic function, what would be the maximum number changes of direction (turning points)? 0 1 3 2
The maximum number changes of direction (turning points) = 3
What is Direction?
The direction of an object's motion or tendency is indicated by its direction.
The main directions are East, South, West, and North.
Concept:
Not every cubic function has a definite turning point. but their are 3 turning point and depends upon the type of the cube
The first derivative of the function becomes zero and the second derivative might either be positive or negative at a turning point of the function.
The function would not have a turning point if the set of real numbers containing the roots of the first derivative of the function included none.
The point would not be a turning point but an inflexion point of the curve if the function has a root in the set of real numbers but its second derivative is zero at that location. Additionally, such a process would not have a turning point.
Think about the equation f(x)=x3. There isn't a turning point in this function. Rather, it has an inflection point at x=3.
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Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
The system of linear inequalities represented by the graph are;
Inequality 1: y < 3
Inequality 2: x ≥ -1.
The equation of horizontal lines is always expressed in the form y = a where "a" is the point where the line cuts the y axis.
From the graph shown for line 1, we can see that the horizontal line cuts the y-axis at 3, hence the equation of the line will be y < 3.
Inequality sign is less than since the line is a broken line and shaded below the graph.
Similarly;
The equation of vertical lines is always expressed in the form x = b where "b" is the point where the line cuts the x-axis.
From the graph shown for line 2, we can see that the vertical line cuts the x-axis at -1, hence the equation of the line will be x ≥ -1.
The inequality sign is greater than and equal to since the line is a solid line and shaded to the right the graph.
What is linear inequalities?In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.To learn more about linear inequalities refer to:
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Age is an example what kind of data categorical or quantitative?
Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.
How do you know if data is categorical or quantitative?Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data reflect groupings is referred to be a categorical variable.A categorical variable's data will always be qualitative, while a numeric variable's data will always be quantitative. As a result, based on whether the variable is numeric or categorical, you may determine the kind of data before it is collected.Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data. Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data.Learn more about quantitative data refer to :
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does anyone know what -3 ≤ x - 5 is? PLEASE HELP ME
Answer:
Step-by-step explanation:
First you add 5 to -3 so that you get 2 is less than or equal to x.
x ≥ 2
5(x+6) - 2x = 3(x+10)
Answer:
All Real Numbers
Step-by-step explanation:
I assume you are solving for x.
The Interval Notation would be: (-∞,∞)
The graph shows the parent function f(x)=0.75^x
the answer; the graph on the top right
+ 1 -- translates the graph upward changing the y intercept from (0,1) to (0,2)
to find the point at 1, just plug in 1 for x
Someone please help me finde out what’s (2y+3)(x+3)
Answer:
2xy + 3x + 6y + 9
Step-by-step explanation:
2y times x = 2xy
3 times x = 3x
2y times 3 = 6y
3 times 3 = 9
please help, this is my finals & i don’t know it
The equation that relates the graph is a) y= - 1/2(x-3)²+2
How to find Slope intercept?Here Let put x=7
y= -1/2(x-3)²+2
= -1/2(7-3)²+2
= -1/2(4)²+2
= -1/2(16)+2
= - 8+2
= - 4
Hence (7,-4) is marked.
Slope-intercept equations are a particular kind of linear equation. It follows the overall structure. The two real numbers in this example are and. For instance, they are slope-intercept form linear equations. SlopeIn mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. There is no definitive solution to the question of why the letter m is used for slope, but O'Brien (1844), who developed the equation of a straight line, uses it for the first time in English. A line is defined by the equation y = mx + b, which is also known as the slope-intercept form.To learn more about Slope intercept refer to:
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Which of the following best describes the second law passed under the Morrill Act?
Eastern schools had to research which crops were suitable for farms in Midwestern America.
Answer:
Step-by-step explanation:
The 3,204 at an art convention can participate in one event: either water painting, canvas painting, or sketching. There were 478 people who decided to water paint and 384 people that decided to sketch. Each person that does canvas painting will need a canvas, which is stored in boxes. Each box holds 36 canvases. How many boxes of canvases are needed?
Answer:
around 65 boxes of canvases
Step-by-step explanation:
well 3,204 - 478 - 384 = 2,342 people left who wanted to paint on canvases
2,342/36 = 65.05 boxes of canvases:)
Can you please explain the answer to this question? Thanks!
Answer:
119
Step-by-step explanation:
[tex]\fbox{3}=3^3=27\\\fbox{2}=2^3=8\\27\circ8=5(27)-2(8)=119[/tex]
The value of the given expression is 119
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given is an expression, (A) = A³ and A₀B = 5A-2B, We are asked to find
(2)₀(3)
Solving we get,
(3) = 3³ = 27
(2) = 2³ = 8
27₀8 = 5(27)-2(8)
= 119
Hence, the value of the given expression is 119
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help me pls help help
Answer:
6. Scalene, No congruent sides
7. Isosceles, 2 congruent sides
8. Equilateral, All congruent sides
Solve for x in the circle
An angle is outside a circle if its vertex is outside the circle and its sides are tangents or secants. Here the angle is formed by two tangents,
The value of x is 80°.
What is a Tangent?The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency.
Calculation:As we know that the complete angle of the circle is 360°
The answer for x° is 360° - 260° = 100°
⇒ 260°- 100° = 160° now,
⇒ 160°/2 = 80°
∴ x = 80°
Hence, for the given two tangents formed the answer for x° = 80°
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