Answer:
-0.4
Step-by-step explanation:
If using a number line, start at 0.2 and go backwards 0.6 to get to -0.4
Willow bought 3 m of denim fabric and 5m of cotton
fabric. The total bill, excluding tax, was $22. Jared
bought 6 m of denim fabric and 2 m of cotton fabric
at the same store for $28. How much does the denim
fabric cost? How much does the cotton fabric cost?
How do I start?
The denim fabric costs $4 per meter and the cotton fabric costs $3 per meter.
To find out the cost per meter of each type of fabric, we can set up a system of two equations. Let d be the cost per meter of denim fabric and c be the cost per meter of cotton fabric. Then, we have:
3d + 5c = 22 (equation 1)
6d + 2c = 28 (equation 2)
We can use equation 2 to solve for one of the variables in terms of the other. Solving for c, we get:
c = 14 - 3d (equation 3)
We can substitute equation 3 into equation 1 and solve for d:
3d + 5(14 - 3d) = 22
Simplifying this equation, we get:
4d = 3
Therefore, d = 0.75, which means the denim fabric costs $0.75 per meter.
We can then use equation 3 to find the cost per meter of cotton fabric:
c = 14 - 3(0.75) = 11.25/2 = $5.625
Therefore, the cotton fabric costs $5.625 per meter.
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Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.
Gregory received £2400. He gave 1/3 of it to his favorite charity and spent 1/5 of it on a new violin. What fraction of his money is left?
Answer:
7/15
I hope this helps and I apologize if I'm wrong.
Can you tell me if I was wrong or right?
A person needs $
4500 to visit foreign countries. If $ 1 = NRs. 120.92 and the bank charge 2% as onmmission, bow many Nepali rupees does the person require to exchange $4500? Find it.
Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.
We know that:
$ 1 = NRs. 120.92
We are also given that a person needs $ 4500 to visit foreign countries.
Also, for the conversion, bank charges commission as 2 %
Now, $ 4500 in NRs. will be calculated by multiplying 120.92 with $ 4500.
$ 4500 = NRs. 120.92 × 4500
$ 4500 = NRs. 544,140
Now the commission charged by the bank will be:
2 % of 544,140
Commission = 2 / 100 × 544,140
Commission = NRs. 10,882.8
So, the amount the person will require to get $ 4500 will be = NRs. 544,140 + 10,882.8
= NRs. 555,022.8
Therefore, Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.
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need asap
..............................
Answer:
\(x = 15\)Step-by-step explanation:
To find:-
The value of x.Answer:-
From the given figure we can see that there are three right angled triangles namely ∆ACB , ∆BCD and ∆ACD .
To find out the value of x , we will have to use Pythagoras theorem . The Pythagoras theorem is ,
Pythagoras theorem:-
In a right angled triangle , the sum of squares of base and perpendicular is equal to the square of hypotenuse.In a triangle hypotenuse is the longest side . In a right angled triangles, the side opposite to 90° will be hypotenuse.
Using Pythagoras theorem in ∆ACB :-
\(\longrightarrow AB^2+BC^2= AC^2 \\\)
\(\longrightarrow 9^2 + x^2 = AC^2 \dots(1)\\\)
Using Pythagoras theorem in ∆BCD:-
\(\longrightarrow BC^2 + BD^2 = CD^2 \\\)
\(\longrightarrow x^2+25^2 = CD^2 \dots(2) \\\)
Using Pythagoras theorem in ∆ACD :-
\(\longrightarrow AC^2 + CD^2 = AD^2 \\\)
Substituting the respective values from equations (1) and (2) ,
\(\longrightarrow 9^2 + x^2 + x^2 + 25^2 = (9+25)^2 \\\)
\(\longrightarrow 81 + 2x^2 + 625 = 34^2 \\\)
\(\longrightarrow 2x^2 + 706 = 1156 \\\)
\(\longrightarrow 2x^2 = 1156-706 \\\)
\(\longrightarrow 2x^2 = 450\\\)
\(\longrightarrow x^2 =\dfrac{450}{2}\\\)
\(\longrightarrow x = \sqrt{225} \\\)
\(\longrightarrow \underline{\boxed{\boldsymbol{ x = 15 }}} \\\)
Therefore the value of x is 15 .
Answer:
x = 15
Step-by-step explanation:
To find the value of x, use the Geometric Mean Theorem (Altitude Rule).
Geometric Mean Theorem (Altitude Rule)The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of the altitude to one segment is equal to the ratio of the other segment to the altitude:
\(\boxed{\sf \dfrac{Altitude}{Segment\:1}=\dfrac{Segment\:2}{Altitude}}\)
From inspection of the given right triangle:
Altitude = xSegment 1 = 9Segment 2 = 25To find the value of x, substitute the values into the formula and solve for x:
\(\implies \dfrac{x}{9}=\dfrac{25}{x}\)
\(\implies \dfrac{x}{9}\cdot 9x=\dfrac{25}{x}\cdot 9x\)
\(\implies x \cdot x=25\cdot9\)
\(\implies x^2=225\)
\(\implies \sqrt{x^2}=\sqrt{225}\)
\(\implies x=15\)
Therefore, the value of x is 15.
What is the order of the angles from largest to smallest?
w
11
O Angle W, Angle X, Angle Y
O Angle X, Angle W, Angle Y
O Angle X, Angle Y, Angle W
O Angle Y, Angle W, Angle X
5
Х
7
Y
Angle X, Angle W, Angle Y.
==========================================================
Explanation:
There are two rules we'll use here, which applies to any triangle.
The smallest angle is always opposite the smallest sideThe largest angle is always opposite the largest sideSince WY = 11 is the longest side, the largest angle must be angle X as it's opposite this side.
Since WX = 5 is the shortest side, the smallest angle must be angle Y as it's opposite this side.
This places angle W somewhere in the middle of angles X and Y.
The order of the angles from largest to smallest is X, W, Y which shows us that choice B is the answer.
Choice D would be the answer if you wanted to sort the angles from smallest to largest.
The order of the angles from largest to smallest is Angle X > Angle W > Angle Y.
What is a triangle?A triangle is a closed polygon with three sides, angles and vertices.
Given is triangle, WXY, we need to order the angles from largest to smallest,
We know that,
The smallest angle is always opposite the smallest side.
The largest angle is always opposite the largest side.
Hence, the order of the angles from largest to smallest is Angle X > Angle W > Angle Y.
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16 ft
8. GARDEN A rectangular garden is 12 feet across and 16 feet long. It is
surrounded by a border of mulch that is a uniform width, x. The
maximum area for the garden, plus border, is 285 ft.
a. Write a polynomial equation to represent the situation.
12 it
b. Write and solve a system of equations.
c. What are the dimensions of the garden plus border?
The dimensions of the border is 1.5 feet for the garden
A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.
The area of a rectangle = Length * breadth
Given that length of garden = 16 ft., width of garden = 12 ft.
It is surrounded by a mulch of width x, hence:
New length = 16 + x + x = 16 + 2x
New width = 12 + x + x = 12 + 2x
The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²
Since the maximum area is 285 ft, hence:
192 + 56x + 4x² = 285
4x² + 56x - 93 = 0
x = 1.5 feet
The dimensions of the border is 1.5 feet
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What is the product? (5r − 4)(r2 − 6r 4) 5r3 − 34r2 44r − 16 5r3 − 4r2 14r − 16 5r3 − 6r − 16 5r3 10r − 16.
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
Hope this helped!!
Answer:
A. 5r3 − 34r2 + 44r − 16
Step-by-step explanation:
Kevin has 4.85 in nickels and dimes. if he has fewer dimes than nickels, how many coins does he have altogather?
Answer:
49 coins.
Step-by-step explanation:
It takes 10 dimes to equal a dollar, therefore fourty dimes equals four dollars.
Eight more dimes for the eighty cents, and one nickel for the 5 cents.
x+4:-x-4
What does x equal to?
Answer:
casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.
1. Tu ropa está sucia. ¿Por qué no ____ lavas?
2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.
3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.
4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?
5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.
choose an appropriate procedure. for each of the following, indicate whether you would use a hypothesis test or a confidence interval. then state hypotheses if you would use a hypothesis test, or indicate the parameter(s) using correct notation if you would use a confidence interval. you do not need to carry out any procedures or define the parameters.
It involves setting up null and alternative hypotheses and testing the evidence against the null hypothesis.
When would you choose to use a hypothesis test instead of a confidence interval?To determine whether to use a hypothesis test or a confidence interval, we need to consider the goal of the analysis. A hypothesis test is appropriate when we want to make a conclusion about a population based on sample data.
It involves setting up null and alternative hypotheses and testing the evidence against the null hypothesis. On the other hand, a confidence interval is used to estimate an unknown parameter of a population.
It provides a range of plausible values for the parameter with a specified level of confidence. Thus, if we are interested in making a conclusion or testing a claim about a population, we would use a hypothesis test.
If our objective is to estimate an unknown parameter, we would employ a confidence interval and state the parameter using the correct notation.
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what is the correlation
Answer: moderate, C, B
Step-by-step explanation:
A) A shows a moderate negative correlation. It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation. It is also negative because it has a negative slope
B) C shows the strongest correlation because the points around the line are tight and close.
C) B should not have been drawn. The correlation is very weak. You do know where the line should be because the points are all over the place.
what is the slope of (1,-1) (4,8)
Answer:
The slope of the line passing through the points (1, -1) and (4, 8) is 3.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the following formula:
\(slope = (y2 - y1) / (x2 - x1)\)
Here, the given points are (1, -1) and (4, 8). So,
\(slope = (8 - (-1)) / (4 - 1) = 9 / 3 = 3\)
Therefore, the slope of the line passing through the points (1, -1) and (4, 8) is 3.
Solve the following problem by creating a drawing of the situation described in the problem. 1. A Ferris wheel with a radius of 25 feet is rotating at a rate of 3 revolutions per minute. When t=0, a chair starts at the lowest point on the wheel, which is 5 feet above the ground. Write a model for the height h (in feet) of the chair as a function of the time t (in seconds).
To model the height of the chair on a Ferris wheel as a function of time, we can create a drawing of the situation and use trigonometric functions.
The height of the chair can be represented as a sinusoidal function with an amplitude equal to the radius of the Ferris wheel and the period determined by the rate of rotation.
To create a model for the height of the chair on the Ferris wheel, we can visualize the situation by drawing a Ferris wheel with a radius of 25 feet. The lowest point on the wheel is 5 feet above the ground.
As the Ferris wheel rotates, the chair goes through one complete revolution every 60 seconds (3 revolutions per minute). This corresponds to a period of 60 seconds.
We can model the height of the chair as a function of time using a sinusoidal function. Since the radius of the Ferris wheel is 25 feet, the amplitude of the function is 25.
The equation for the height h (in feet) of the chair as a function of time t (in seconds) can be written as h(t) = 25 sin(2πt/60) + 5.
In this equation, the term sin(2πt/60) represents the periodic oscillation of the chair's height as it rotates around the Ferris wheel. The amplitude of 25 scales the oscillation, and the constant term of 5 represents the initial height of the chair when t=0 at the lowest point of the wheel.
Thus, by creating a drawing and using trigonometric functions, we can model the height of the chair on the Ferris wheel as a function of time.
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The radius of Mars is about 3.4 times 10^3 km. What is the approximate surface area of Mars? Use the formula for the surface area of a sphere, S.A.=4pieR^2. Write your answer in scientific notation
Answer: the answer is a hard doosie
Step-by-step explanation:
what is wrong with the following "proof" of the statement that √ n is irrational for every natural number n? "proof ". suppose that √ n is rational, say √ n
The given "proof" is incomplete and does no longer provide a convincing argument for the statement that \(\sqrt{n}\) is irrational for every natural wide variety of n.
It begins by assuming that \(\sqrt{n}\) is rational, represented as \(\sqrt{n}\) = a/b, wherein a and b are integers and not using common factors and b isn't equal to zero.
The blunders in this evidence lie within the assumption that \(\sqrt{n}\) can be represented as a rational number. The evidence fails to expose a contradiction or offer proof that \(\sqrt{n}\) can not be expressed as a ratio of integers. In order to prove that \(\sqrt{n}\) is irrational, one has to show that there are not any viable values for a and b that satisfy the equation √n = a/b.
To establish the irrationality of \(\sqrt{n}\), legitimate evidence usually utilizes techniques along with evidence with the aid of contradiction or evidence by means of high factorization. These techniques involve assuming that \(\sqrt{n}\) is rational, manipulating the equation, and deriving a contradiction or showing that the idea results in a not possible situation.
Since the given proof lacks those crucial elements, it can't establish a declaration that \(\sqrt{n}\) is irrational for each natural range n.
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The correct question is:
"What is wrong with the following "proof" of the statement that \(\sqrt{n}\) is irrational for every natural number n? "proof ". Suppose that \(\sqrt{n}\) is rational is a rational number."
a population numbers 20,000 organisms initially and grows by 17.1% each yearSuppose PP represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=a⋅bt whereP =
The exponential model for the population can be written as P = 20000 * 1.171^t, where P is the population after t years, 1.171 is the growth factor per year (100% + 17.1%), and 20000 is the initial population.
This equation assumes that the population grows continuously at a constant rate of 17.1% per year. It is an example of exponential growth, which means that the population increases at an increasingly faster rate over time.
Using this model, we can predict the population size at any point in the future. For example, after 5 years, the population would be P = 20000 * 1.171^5 = 41,992 organisms. It is important to note that this model is based on certain assumptions, such as unlimited resources and a constant growth rate, which may not always hold true in real-world scenarios.
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a painting in a museum has a width of 3.4 feet. a postcard of the painting was created using a scale in which 1.8 inches represents 1 foot. what is the width of the postcard in inches whats the anser
The width of the postcard, based on the given scale, would be approximately 6.12 inches.
To find the width of the postcard in inchesWe can make use of the scale, where 1 foot is represented by 1.8 inches.
First, we must use the scale to translate the painting's width from feet to inches:
Width of the painting in inches = Width of the painting in feet * Scale factor
Width of the painting in inches = 3.4 feet * 1.8 inches/foot
Width of the painting in inches ≈ 6.12 inches
Therefore, the width of the postcard, based on the given scale, would be approximately 6.12 inches.
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I just need the answer
Answer:
300+45m≤500
Step-by-step explanation:
Only wanted the answer
Hope this helped!
4.3x + 1.6 + 8.4x –0.9
Answer:
12.7x +0.7, I hope this helps. You did not provide what to do with the equation.
Answer:
12.7x + 0.7
Step-by-step explanation:
I simplified it. Hope that’s what you needed.
Pls give brainliest!
Math - 20 points total - Word assessment
- Q: How many times can you write your full address in a minute?
My answer: I wrote it 6 times in one minute.
6. Which of these variables is your/my dependent variable?
7. Which one is the independent variable?
8. Write a sentence that describes the relationship between the dependent variable and the independent variable.
6. The number of times the full address is written in one minute is the dependent variable. 7. The time in minutes is the independent variable. 8. The relationship between the dependent variable and the independent variable is that the number of times the full address is written is dependent on the amount of time given to write it.
Based on the information provided:
6. The dependent variable is the number of times you can write your full address in a minute.
7. The independent variable is the time (in minutes).
8. The relationship between the dependent variable and the independent variable is that as the time (independent variable) increases, the number of times you can write your full address (dependent variable) also increases.
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The linear equation y = negative 2 x + 4 is represented on the graph below.
On a coordinate plane, a line goes through (0, 4) and (2, 0).
A second linear equation is represented by the data in the table.
x
y
–4
–3
0
–1
2
0
6
2
What is the solution to the system of equations?
(2, 0)
(0, 4)
(0, –1)
(4, –4)
The solution to the system of equations will be;
⇒ (2, 0)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The first equation is,
y = - 2x + 4
And, A line goes through (0, 4) and (2, 0).
Now,
For the second linear equation;
The coordinates are,
(-4, -3) (0, -1) , (2, 0) , (6, 2)
Hence, The equation of line passes through the points (-4, -3) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (-3)) / (0 - (-4))
m = 2 / 4
m = 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - (-3)= 1/2 (x - (-4))
⇒ y + 3 = 1/2 (x + 4)
⇒ y = 1/2x + 2 - 3
⇒ y = 1/2x - 1
Now, We find the value of system of equations;
y = - 2x + 4
y = 1/2x - 1
Solve both above equation, we get;
1/2x - 1 = - 2x + 4
1/2x + 2x = 4 + 1
5/2x = 5
x = 2
And, y = 1/2 (2) - 1 = 0
Thus, The solution to the system of equations will be;
⇒ (2, 0)
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Answer:
A
Step-by-step explanation:
simplify 1/4 and 4/5.
Answer:
0.25 and 0.80 would be the answer
1
A sandwich tray comes with 6 turkey sandwiches and 4 ham sandwiches. What is the ratio of ham sandwiches to turkey
sandwiches?
O A. 2:1
O B. 23
O C. 3:1
OD. 3.2
Reset
Next Question
O
Bi
0.14
Answer:
3:2
Step-by-step explanation:
the answer is 3:2 because if you divide them by 2 you get 3:2
Of the 120 rooms in a hotel, 55% are single-bed rooms, 30% are double-bedrooms, and the rest are deluxe rooms. How many deluxe rooms are there?
There are 18 deluxe rooms in the hotel.
To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.
The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:
Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)
= 100% - (55% + 30%)
= 100% - 85%
= 15%
So, 15% of the total rooms in the hotel are deluxe rooms.
To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:
Number of deluxe rooms = 15% of 120 rooms
= (15/100) * 120
= 0.15 * 120
= 18
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find the length of the curve r(t) = sqrt(2)ti
To find the length of the curve r(t) = sqrt(2)ti, we need to use the arc length formula:L = ∫[a,b] ||r'(t)|| dt,where ||r'(t)|| is the magnitude of the derivative of the curve.
First, we need to find r'(t):
r'(t) = (d/dt) [sqrt(2)ti] = sqrt(2)i
The magnitude of r'(t) is ||r'(t)|| = sqrt(2).
So, the length of the curve is:
L = ∫[0,1] sqrt(2) dt = sqrt(2) * [t] [0,1] = sqrt(2)
Therefore, the length of the curve r(t) = sqrt(2)ti is sqrt(2).
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Javier tiene 25 años mas que Pedro y dentro de 6 años tendra el doble de la edad de Pedro. Encuentre ambas edades
Usando un sistema de ecuaciones, se encuentra que
Javier tiene 44 años.Pedro tiene 19 años.-----------------
Esta pregunta se resuelve mediante un sistema de ecuaciones. La edad de Javier es x.La edad de Pedro es y.-----------------
Javier tiene 25 años mas que Pedro, o sea, \(x = y + 25\)En 6 años, tendra el doble, o sea, \(x + 6 = 2(y + 6)\)-----------------
Primero, encontramos la edad de Pedro, reemplazando la primera ecuación en la segunda
\(x + 6 = 2(y + 6)\)
\(y + 25 + 6 = 2y + 12\)
\(y + 31 = 2y + 12\)
\(2y - y = 31 - 12\)
\(y = 19\)
Pedro tiene 19 años.
-----------------
Quanto a Javier:
\(x = y + 25 = 19 + 25 = 44\)
Javier tiene 44 años.
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CAN SOMEONE PLEASE DO THIS IF I DONT I WILL FAIL 8TH GRADE PLZ HELP ILL GIVE ALL MY POINTS PLZZZZZ HELP ILL DO ANYTHING PLZ :(((((((((((((((((((((
Answer:
what am i suppose to help with
Step-by-step explanation:
Answer:
umm, theres nothing there
Step-by-step explanation:
Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
d
Step-by-step explanation:
Answer:
I think it's D
Step-by-step explanation:
Sorry if im wrong.
X=
Please see attached problem