By selling a watch on 400 and 460’. Loss and profit happened respectively.if the loss and profit are equal, find cp.
Answer:
430
Step-by-step explanation:
Given :-
By selling a watch on 400 and 460’. Loss and profit happened respectively.The loss and profit are equal.And we need to find out the CP .So ,
Let :-
CP be xProfit and Lost be y .According to the Question :-
\(:\implies\) 460 = x + y ( Profit)
\(:\implies\) 400 = x - y ( Loss)
Adding both :-
\(:\implies\) 460 + 400 = x + y + x - y
\(:\implies\) 860 = 2x
\(:\implies\) x = 860/2
\(:\implies\) x = 430
Hence the Cost price of the watch is 430 .
What is x or solve for x
Answer:
x = 8
Step-by-step explanation:
The measure of an arc is equal to the angle at the centre subtended by the arc.
The sum of the 3 arcs = 180° , then
5x + 6 + 83 + 51 = 180
5x + 140 = 180 ( subtract 140 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
helppppppppppppppppppppppppp
Answer:
\(\frac{8}{5}\)
Step-by-step explanation:
8 cookies being divide by tia and 4 friends
tia and 4 friends = 5 people
Kate multiplied two binomials using the distributive property. She made a
mistake in one of the steps. Where did she first make a mistake?
(x - 2)(3x + 4)
1. (x-2)(3x) + (x + 2)(4)
2. (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)
3. 3x2 - 6x + 4x + 8
4.3x2 - 2x + 8
Answer:
step 1
Step-by-step explanation:
Given
(x - 2)(3x + 4) ← apply distributive property
= (x - 2)(3x) + (x - 2)(4)
↑ error is here , she put (x + 2)
In this exercise we have to use the knowledge of the distributive property, so In alternative 1 she made the mistake.
What is distributive property example?The distributive property is used when a number is multiplying an addition or subtraction. Simply multiply each term separately and add or subtract the result. We distribute the multiplication of the 2, to the 8 and to the 3.
Proving the mistake:
\((x - 2)(3x + 4) \\= (X)(3x) + (-2)(3x) + (x)(4) + (2)(4)\\and not\\(x-2)(3x) + (x + 2)(4)\)
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A train leaves the station at 11 a.m. traveling at the rate of 40 miles per hour. A faster train leaves the same station at 1 p.m. that afternoon and travels in the same direction on a parallel track at a rate of 60 miles per hour. At what time will the faster train overtake the slower one
The faster train overtake the slower on 5 p.m.
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time.
Let the number of hours after 1pm at which faster train will overtake slower train be x.
At overtaking point,
Distance travelled by slower train = Distance travelled by faster train
Given :
Speed of slower train = 40 miles per hourSpeed of faster train = 60 miles per hourTime taken by faster train = xTime taken by slower train = x + 2.On equating distances we get
40 x ( x + 20) = 60 x (x)
40x + 80 = 60x
20x = 80
x = 4.
∴The faster train overtake the slower on 1 + 4 = 5 p.m.
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what is the correct path to get to the end
1) David uses a gallon of gas to drive 8 miles. How far can he drive on 1 gallon of gas?
Answer:
8 miles
Step-by-step explanation:
A triangle has angles measureing 40 and 30. What is the measure of the third angle
Answer: 110 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the third angle is 180-40-30=110 degrees.
Describe in words the translation of X represented by the translation rule T ...?
The vector notation <4, -5> is the same as writing \((x,y) \to (x+4, y-5)\) which in my opinion is more descriptive in saying "4 units to the right, 5 units down"
We shift 4 units to the right because of the x+4. Whatever x is, add 4 to it getting x+4. So for instance x = 10 leads to x+4 = 10+4 = 14.
The y-5 is why we shift 5 units down. Eg: y = 37 leads to y-5 = 37-5 = 32.
What are the values of a, b, and c in the quadratic equation 0 = 1 / 3x² – 3x – 2?
O a = 3,6 =3, c= 2
O a = 1, b =-3, c= -2
O a= 2,6 = 3, c= -2
O a = 1, b = -3, c = 2
W
Answer:
\(a = \frac{1}{2} \\ b = - 3 \\ c = - 2\)
Step-by-step explanation:
The explanation is in the picture!
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
Is 3\11 and 17/6 proportional
Answer:
no
Step-by-step explanation:
The given ratios 3/11 and 17/6 are not proportional.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratios are 3/11 and 17/6.
In order to check the proportionality cross multiplication is done as follows,
3/11 and 17/6
Cross multiply the numerators and denominators as follows,
3 × 6 and 17 × 11
=> 18 and 187
Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.
Hence, the given ratios are not proportional.
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6 times what is 42? I will give twenty points to the first person to answer!
Answer:
\(6 \times 7 = 42\)
evaluate:
1. f(x) = {(1/x-1) if x<1; (x^3-2x+5) if x>=1
2. f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2
3. f(x) = {1-x^2 if x<1; 2 if x>=1
4. f(x) = {(2x+1) if x<=-1; 3x if -1=1
5. f(x) = {(x-1)^2 if x<0; (x+1)^2 if x>=0
The solution of the limits are
1. f(x) = {(1/x-1) if x<1; (x³-2x+5) if x>=1 is does not exist
2. f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2 is 1
3. f(x) = {1-x^2 if x<1; 2 if x>=1 is does not exitst
4. f(x) = {(2x+1) if x<=-1; 3x if -1=1 is 1
5. f(x) = {(x-1)^2 if x<0; (x+1)^2 if x>=0 is 0
f(x) = {(1/x-1) if x<1; (x³-2x+5) if x>=1 is 1
To evaluate this function, we need to determine the limit of the function as x approaches 1 from both the left and the right sides.
When x approaches 1 from the left side (x<1), the function becomes f(x) = 1/(x-1). As x gets closer to 1 from the left side, the denominator (x-1) becomes smaller and smaller, causing the entire fraction to approach infinity. Therefore, the limit of f(x) as x approaches 1 from the left side is infinity.
When x approaches 1 from the right side (x>=1), the function becomes f(x) = x³-2x+5. As x gets closer to 1 from the right side, the function approaches 4. Therefore, the limit of f(x) as x approaches 1 from the right side is 4.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches 1 does not exist.
f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2
To evaluate this function, we need to determine the limit of the function as x approaches 2 from both the left and the right sides.
When x approaches 2 from the left side (x<2), the function becomes f(x) = 3-x. As x gets closer to 2 from the left side, the function approaches 1. Therefore, the limit of f(x) as x approaches 2 from the left side is 1.
When x approaches 2 from the right side (x>2), the function becomes f(x) = x/2. As x gets closer to 2 from the right side, the function approaches 1. Therefore, the limit of f(x) as x approaches 2 from the right side is 1.
Since the limit of the function from the left and right sides are the same, the limit of the function as x approaches 2 exists and is equal to 1.
f(x) = {1-x² if x<1; 2 if x>=1
To evaluate this function, we need to determine the limit of the function as x approaches 1 from both the left and the right sides.
When x approaches 1 from the left side (x<1), the function becomes f(x) = 1-x². As x gets closer to 1 from the left side, the function approaches 0. Therefore, the limit of f(x) as x approaches 1 from the left side is 0.
When x approaches 1 from the right side (x>=1), the function becomes f(x) = 2. As x gets closer to 1 from the right side, the function remains constant at 2. Therefore, the limit of f(x) as x approaches 1 from the right side is 2.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches 1 does not exist.
f(x) = {(2x+1) if x<=-1; 3x if -1=1
To evaluate this function, we need to determine the limit of the function as x approaches -1 from both the left and the right sides.
When x approaches -1 from the left side (x<-1), the function becomes f(x) = 2x+1. As x gets closer to -1 from the left side, the function approaches -1. Therefore, the limit of f(x) as x approaches -1 from the left side is -1.
When x approaches -1 from the right side (-1<x<1), the function becomes f(x) = 3x. As x gets closer to -1 from the right side, the function approaches -3. Therefore, the limit of f(x) as x approaches -1 from the right side is -3.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches -1 does not exist.
f(x) = {(x-1)² if x<0; (x+1)² if x>=0
To evaluate this function, we need to determine the limit of the function as x approaches 0 from both the left and the right sides.
When x approaches 0 from the left side (x<0), the function becomes f(x) = (x-1)². As x gets closer to 0 from the left side, the function approaches 1. Therefore, the limit of f(x) as x approaches 0 from the left side is 1.
When x approaches 0 from the right side (x>=0), the function becomes f(x) = (x+1)². As x gets closer to 0 from the right side, the function approaches 1. Therefore, the limit of f(x) as x approaches 0 from the right side is 1.
Since the limit of the function from the left and right sides are the same, the limit of the function as x approaches 0 exists and is equal to 1.
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write a polynomial given the zeros of 0 (multiplicity 2), 1
Answer:
\(\displaystyle{P(x)=x^3-x^2}\)
Step-by-step explanation:
Given the zeros of 0, 0, 1. We can write the polynomial in form of x-intersects:
\(\displaystyle{P(x) = (x-x_1)(x-x_2)(x-x_3)}\)
Hence:
\(\displaystyle{P(x)=(x-0)(x-0)(x-1)}\)
Which can be simplified to:
\(\displaystyle{P(x)=x\cdot x \cdot (x-1)}\\\\\displaystyle{P(x)=x^2(x-1)}\)
Convert to the standard form by distributing x²:
\(\displaystyle{P(x)=x^2\cdot x - x^2 \cdot 1}\\\\\displaystyle{P(x)=x^3-x^2}\)
In inferential statistics, we calculate statistics of sample data to:.
In inferential statistics, we calculate statistics of sample data to estimate the characteristics of the entire population from which the sample was taken. The process involves drawing inferences about a population from a random sample of data taken from that population.
The sample statistics are used to estimate the parameters of the population. To make an inference, we use a hypothesis test or confidence interval based on the sample statistics. The key to inferential statistics is random sampling, which allows us to make generalizations about the population based on the characteristics of the sample.
In order to ensure that the sample is representative of the population, we use a variety of sampling techniques, including simple random sampling, stratified sampling, cluster sampling, and systematic sampling.
Each of these techniques has its own advantages and disadvantages, and the choice of technique depends on the characteristics of the population being studied and the research questions being asked.
Once we have a representative sample, we use statistical methods to draw conclusions about the population. This allows us to make predictions and to test hypotheses about the population with a high degree of confidence.
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Select the four primary cartographic elements Select 4 correct answer(s) Orientation (North Arrow) Scale Legend Text (Title/Subtitle/etc.) Neatline Border Inset map
, the correct answers are:
Orientation (North Arrow)
Scale
Legend
Neatline Border
The four primary cartographic elements are:
Orientation (North Arrow): This element indicates the orientation or direction of the map, typically pointing towards the north. It helps users understand the map's alignment and relation to the real world.
Scale: The scale provides a ratio or representative fraction that shows the relationship between distances on the map and corresponding distances on the Earth's surface. It helps users determine the actual size or distance of features on the map.
Legend: The legend, also known as a key, explains the symbols, colors, and other graphic elements used on the map. It helps users understand the meaning or representation of various features or data.
Neatline Border: The neatline border defines the outer boundary of the map. It is a solid line that encloses the map area and separates it from the surrounding space or background.
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What is the y-coordinate of the y-intercept of the parabola y=x^2+1
Answer:
-1/4 or -0.25
Step-by-step explanation:
use completing the square
hope this is right :)
find the general solution of the given higher-order differential equation. y''' − 6y'' − 7y' = 0
To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.
Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.
Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.
In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.
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Find the area of the shaded regions.
Answer:
A = 27π cm² or about 84.8 cm²
Step-by-step explanation:
Area of a full circle is πR²
As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing
A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²
Boys to girls in a classroom is 3:5. If there are 9 boys in Mr. Franklin’s class, what is the total number of students in Mr. Franklin's class? *
Answer:
24
Step-by-step explanation:
3 x 3 = 9
5 x 3 = 15
15 + 9 = 24
hope this helps plz give me brainliest
Please I need help with this question and make a graphs please help
WILL AWARD BRAINLIEST!!! POLYNOMIALS
\(\huge\fcolorbox{blue}{aqua}{Answer:}\)
════════════════════
1.
\(kx^{2} + kx + \frac{25}{4}\)
All you need to do is factor out \( \frac{1}{4}\)
=\( \frac{4kx^{2 +} + 4kx + 25 } {4} \)
if you evaluate it it will become
\(kx^{2} + kx + \frac{25}{4} \)
────────────────────
2.
\( \frac{3y² + 1}{4} - \frac{y}{2} = 6\)
\(3y² + 1 - 2y = 24\)
\(3y² - 23 - 2y = 0\)
\(3y² - 2y - 23 = 0\)
\(y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} \)
\(y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} \)
\(y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} \)
\(y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} \)
\(y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}\)
\(y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}\)
\(y=\frac{2±2\sqrt{70}}{6}\)
\(y=\frac{2\sqrt{70}+2}{6}\)
\(y=\frac{\sqrt{70}+1}{3}\)
\(y=\frac{2-2\sqrt{70}}{6}\)
\(y=\frac{1-\sqrt{70}}{3}\)
\(y=\frac{\sqrt{70}+1}{3}\)
So the answer is
\(y=\frac{\sqrt{70}+1}{3}\)
════════════════════
Explanation:
#Carry on learning
What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage? O A. Stem-and-leaf plots show data clusters where histograms do not O B. Stem-and-leaf plots contain original data values where histograms do not. O C. Stem-and-leaf plots.easily organize data of all sizes where histograms do not O D. Stem-and-leaf plots graph qualitative data where histograms do not.
Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.
What is stem and leaf?The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.
The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.
Therefore, option B is the correct answer.
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Does anyone know the answer?
Answer:
3) B 4) D
Step-by-step explanation:
3) Graph the equations and locate the intersection.
4) the best method to solve number 4 is the substitution method
6x+7y=20
y=2x
we second equation is basically telling us that y=2x so we just plug it into the first equation
6x+7(2x)=20
distribute
6x+14x=20
combine like terms
20x=20
divide each side by 20
x=1
now plug in our answer into one of the equations (does not matter which one)
y=2 times 1
y=2
meaning that our answer is (1,2), x=1 y=2
When bowling, the scoring rule for a spare is 10 points and then the points scored in the next delivery. Group of answer choices True False
The given statement is True for the scoring rule in bowling.
Scoring Rule in Bowling
The number of frames in a game of bowling is ten. According to the scoring rule in bowling, the bowler will have two opportunities to use their bowling ball to remove as many pins as they can throughout each frame.
Every bowler will complete their frame in a predefined order before the next frame starts in games with more than one bowler, which is typical.
Rule for Spare
A bowler is given a strike if they can remove all 10 pins with their first ball. A spare is achieved when the bowler uses both of the two balls in a frame to remove all 10 pins.
Depending on whether the next two balls (for a strike) or the next ball (for a goal) are scored, bonus points are given for both of these (for a spare), as per the scoring rule.
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I need help asap. I attached a imagine of the question.
Answer:
\(\boxed{n = - 5}\)
Step-by-step explanation:
\(\textrm{We have the following equation:}\\\\\dfrac{n}{5}+\dfrac{\left(n-3\right)}{2}=n\\\\\textrm{ and we are asked to solve for n}\)
Solution Steps
Multiply throughout by 10 which is the LCM of the denominators, 5 and 2
\(\dfrac{n}{5}\cdot \:10+\dfrac{n-3}{2}\cdot \:10=n\cdot \:10\\\\2n + 5(n-3) = 10n\\\)
Expand the brackets: \(5(n-3) = 5n - 15\\\\\)
The equation becomes:
2n + 5n - 15 = 10n
Add similar terms:
7n - 15 = 10n
Move 15 to the right side:
7n = 10n + 15
Move 10 to the left side
7n - 10n = 15
- 3n = 15
n = -15/3
\(\boxed{n = - 5}\)
1 MOREEE SO HAPPYYYYYYYYYY
Answer:
B) 1/2 barrel/hour
Step-by-step explanation:
1/3 divided by 2/3 = 1/3 * 3/2 = (1*3)/(3*2) = 3/6 = 1/2, therefore the correct unit rate is B) 1/2 barrel/hour
Answer:
1/2
Step-by-step explanation:
1/3 x 3/2 = 1/2
Find the measure of the missing angles.
Answer:
c = 23°b = 157°watch the picture
Step-by-step explanation:
sum of all angles = 360°
c = 23° (opposite vertical angles so congruent)
b = (360° - 23 - 23) : 2 (opposite vertical angles so congruent)
b = 314 : 2
b = 157
----------------------
check
23 + 23 + 157 + 157 = 360°
the answer is good
A recent survey at a local company showed that 300 employees, or 66⅔% of the company’s employees, carpool to work each day. How many employees work at this company?
I'm sorry for all this trouble just really need help I'm in summer school because I was gone most of the school year and its all online so i don't understand anything
Answer:
450 employees work at this company.
Step-by-step explanation:
300 = 2/3 of x
300 × 3 = 2x
900 = 2x
450 = x