Ranjit has six coins in his pocket.
If he picks five of the coins the most he could pick is £4.60 the least he could pick is £2.70
How much money does he have altogether?
Answers
Answer:
Ranjit has £6.50 altogether
Step-by-step explanation:
To find out how much money Ranjit has altogether, we need to use algebraic equations. Let's assume that the value of the first coin is x, the second coin is y, the third coin is z, the fourth coin is a, the fifth coin is b and the sixth coin is c. Therefore, we can write:
x + y + z + a + b = £4.60 --- Equation 1
x + y + z + a + c = £2.70 --- Equation 2
To solve for the values of x, y, z, a, b and c, we need to use simultaneous equations. Subtracting Equation 2 from Equation 1, we get:
b - c = £1.90 --- Equation 3
Since we know that the value of each coin must be positive, we can assume that b > c. Therefore, we can rewrite Equation 3 as:
b = c + £1.90
Substituting this into Equation 1, we get:
x + y + z + a + (c + £1.90) = £4.60
x + y + z + a + c = £2.70
Subtracting these two equations, we get:
£1.90 = b - c = (c + £1.90) - c = £1.90
This means that b = £3.80 and c = £1.90.
Substituting these values back into Equations 1 and 2, we get:
x + y + z + a = £0.90 --- Equation 4
x + y + z + a = £0.80 --- Equation 5
Since Equations 4 and 5 are identical, this means that there are infinitely many solutions for x, y, z and a that satisfy the given conditions. Therefore, we cannot determine the exact amount of money that Ranjit has altogether.
However, we do know that the sum of all six coins must be equal to the sum of the five coins that Ranjit picked plus the value of the coin that he didn't pick. Therefore, we can write:
x + y + z + a + b + c = (sum of all six coins)
= (sum of five coins) + (value of sixth coin not picked)
= £4.60 + £1.90
= £6.50
Therefore, Ranjit has £6.50 altogether.
Related Questions
Lacey read that a cat weighing p pounds needs to eat a total of 30p calories each day to stay healthy. Lacey's cat, Muffin, weighs 8 pounds.
How many calories should Lacey feed her cat each day?
Answers
Answer:
I believe the answer is 240.
Step-by-step explanation:
Answer:
240 calories each day
Step-by-step explanation:
According to the information Lacey read, a cat weighing p pounds needs to eat a total of 30p calories each day to stay healthy. Since Lacey's cat, Muffin, weighs 8 pounds, she needs to eat 30 * 8 = <<30*8=240>>240 calories each day to stay healthy. Therefore, Lacey should feed her cat a total of 240 calories each day in order to ensure that it receives the proper nutrition and stays healthy.
Please help me find the value and the kind of angel this is?
Answers
Answer: the only line crossed is called a transversal line. x +3 would be vertically opposite to the other angle,and 2x-61 would also be vertically opposite. if you look at alternate and corresponding angles you would find the exact answer. this angle does not have a kind i guess.
hope it helps you!!!
Step-by-step explanation:
What is the complete factorization of 16x^2 - 24y?
Answers
Answer:
8(2x^2 - 3y)
Step-by-step explanation:
Factor the greatest common factor of the terms.
16x^2 - 24y =
= 8(2x^2 - 3y)
What is joule per meter second?
Answers
Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.
Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.
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High contrast image, nermally, has : a. Higher gray sale values b. Sharp histogram c. Nearly blurted histognam d. Perfoctly separated histogram
Answers
A high contrast image typically has higher gray scale values, option (a), compared to a low contrast image.
In an image, contrast refers to the difference between the lightest and darkest regions. High contrast means a significant difference between the brightest and darkest areas, resulting in a visually striking image.
(a) Higher gray scale values: In a high contrast image, the range of gray scale values is effectively utilized. The brightest areas have values closer to the maximum value (e.g., 255 in an 8-bit image), while the darkest areas have values closer to the minimum value (e.g., 0 in an 8-bit image). This wide distribution of gray scale values contributes to the perception of a high contrast image.
(b) Sharp histogram: The histogram of a high contrast image exhibits a distinct and well-defined peak at both ends of the intensity scale. The peaks represent the bright and dark areas, indicating that the image has a wide range of gray scale values and distinct separation between the brightest and darkest regions. However, it is worth noting that a sharp histogram alone does not guarantee high contrast. It is just one characteristic often observed in high contrast images.
(c) Nearly blurred histogram: This option is incorrect. A nearly blurred histogram implies a loss of distinction between the bright and dark regions, resulting in reduced contrast. Blurring tends to smooth out variations and decrease the sharpness of the histogram, leading to a decrease in contrast.
(d) Perfectly separated histogram: This option is incorrect as well. A perfectly separated histogram would indicate complete segregation of pixel values into distinct groups, which would result in a binary-like image rather than a high contrast image. A high contrast image typically has a wide distribution of gray scale values, ranging from dark to bright, rather than perfectly separated clusters.
In summary, a high contrast image is characterized by a wide distribution of gray scale values (higher gray scale values), a sharp histogram with distinct peaks at both ends, and a noticeable difference between the brightest and darkest regions.
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Priya has completed 9 exam questions. This is 60% of the questions on the exam.
How many questions are on the exam? *
A. 12
B. 15
C. 16
Answers
Answer:it’s 15
Step-by-step explanation:because think about it if it was 12 it wouldn’t be 60% it would be 70%
the monthly utility bills in a city are normally distributed with a mean of $70 and a standard deviation of $8. find the monthly utility bill (i.e. the x-value) that corresponds to a z-score of -0.75. do not round and do not include the $ sign.
Answers
The monthly utility bill (i.e. the x-value) that corresponds to a z-score of -0.75 is 64
Z-score gives you an idea of how far from the mean a data point is.
it’s a measure of how many standard deviations below or above the population mean a raw score is. A z-score can be placed on a normal distribution curve. Z-scores range from -3 standard deviations (which would fall to the far left of the normal distribution curve) up to +3 standard deviations (which would fall to the far right of the normal distribution curve).
The basic z score formula for a sample is:
z = (x – μ) / σ
According of the question,
Monthly utility bills in a city follows normal distribution
Mean of the monthly utility bills in a city : μ = $70
A standard deviation of monthly utility bills in a city : σ = $8
Z-score of utility bill = -0.75
z - score = x - μ / σ
=> - 0.75 = x - 70 / 8
=> -6 = x - 70
=> x = 70 - 6
=> x = 64
Hence , the x-value is 64
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Ms. Lee invites the other math teachers to
go
to the movies. It costs $25 for a large
pizza to share, and $8.00 per movie
ticket. She spent a total of $49.00. How
many teachers total went to the movies?
This is 7th grade math it’s 2 step equations
Answers
Answer:
3 adults
Step-by-step explanation:
What I did is subtract the price of the large pizza from the total
49-25 = 24
so the reamining total is $24 so i divded that by the cost of each ticket $8
24÷8= 3
so the adults went to the movies
You had 150 , but you are spending 2 each day. What algebraic expression models this situation?
Answers
If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
Given,
The total amount you had = $150
The amount you spend in each day = $2
Consider the number of days = x
Then the algebraic expression for this situation is 150-2x
Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
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PLZ HELP DO NUMBER 8
Answers
-10
-5
0
5
the second chart:
-29
-4
21
46
and i’m not sure abt the third chart
hope this helps tho!!
give 2 examples of math multiplication problems using rational numbers where the product will be positive
Answers
Answer:
1. Multiply 2/7 by 3/5
Solution:
2/7 × 3/5
= 2 × 3/7 × 5
= 6/35
2. Multiply 5/9 by (-3/4)
Solution:
5/9 × (-3/4)
= 5 × -3/9 × 4
= -15/36
= -5/12
Step-by-step explanation:
Can u guys help me with this question!! :)
Answers
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
If two angles of a triangle each measure 50 degrees, then what is the measure of the third angle of the triangle? Complete the statement by providing the correct answer in number form.
The third angle of the triangle would be
Answers
Answer: 80
Step-by-step explanation:
Triangles equal 180 therefore 50+50=100 and 180-80=80
Answer:
The answer would be 80*
Step-by-step explanation:
Because every triangle needs to add up to 180* and so if you add 50 and 50 you get 100. Minus that from 180 and you get 80
please view the image and answer the questions.
This is College Algebra.
Answers
Step-by-step explanation:
x² - 9
1. There is no common factor other than 1.
2. √x² = x; √9 = 3
3. a = x; b = 3
4. x² - 9 = (x - 3)(x + 3)
PLS HELP WILL GIVE BRAINLIEST
Use the ratio table to solve the percent problem.
What percent is 32 out of 80?
4%
32%
40%
80%
Answers
Answer:
40%
Step-by-step explanation:
32/80=0.4
0.4*100=40
Answer:
40%
32/80 × 100 = 40%
. Lila spent 72 minutes on the phone while routing 24 phone calls. In all, how many phone calls does Lila have to route to spend a total of 90 minutes on the phone? Solve using unit rates.
Answers
Answer:
To solve the problem using unit rates, we can first find Lila's rate of phone calls per minute, which is given by:
rate = number of phone calls / time spent on the phone
Using the values given in the problem, we get:
rate = 24 phone calls / 72 minutes
rate = 1/3 phone calls per minute
This means that Lila routes 1/3 phone call per minute.
To find how many phone calls Lila needs to route to spend a total of 90 minutes on the phone, we can use the same rate and the formula:
number of phone calls = rate x time
Substituting the values, we get:
number of phone calls = (1/3 phone calls per minute) x (90 minutes)
number of phone calls = 30 phone calls
Therefore, Lila needs to route a total of 30 phone calls to spend a total of 90 minutes on the phone.
HELP HELP HELP HELP HELP HELP!!!!!
Answers
Answer:
..
Step-by-step explanation:
40) On a balanced seesaw, a boy three times as heavy as his partner sitsA) less than 1/3 the distance from the fulcrum.B) 1/3 the distance from the fulcrum.C) more than 1/3 the distance from the fulcrum.
Answers
The correct option for the given question is 1/3 distance from the fulcrum which is option B according to the balance rule.
On a balanced seesaw, the torques around the fulcrum calculated on one side and on another side must be equal. This means that the:\(W_1 d_1 = W_2 d_2\)
where we label the things here,
\(W_1\) is the weight of the boy
\(d_1\) is its distance from the fulcrum
\(W_2\) is the weight of his partner
\(d_2\) is the distance of the partner from the fulcrum
We know that the boy is three times heavier than his companion in this situation, so
\(W_1 = 3 W_2\)
If we plug this into the equation, we get:
\((3 W_2) d_1 = W_2 d_2\)
and by simplifying:
\(3 d_1 = d_2\\\\d_1 = \frac{1}{3}d_2\)
From the above equation, we get that the boy sits at 1/3 the distance from the fulcrum.
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What are levels of central tendency (mode, median, mean) and in which type of levels of measurement would each be used?
Answers
The levels of central tendency are measures that describe the typical or central value of a dataset. The three main levels of central tendency are mode, median, and mean.
The mode is the value that occurs most frequently in a dataset and is used with nominal data, which is data that is divided into categories that cannot be ranked or ordered.
The median is the middle value in a dataset and is used with ordinal data, which is data that can be ranked or ordered but the differences between values cannot be measured.
The mean is the average value of a dataset and is used with interval and ratio data, which are both types of data that can be ranked, ordered, and have measurable differences between values. The difference between interval and ratio data is that ratio data has a true zero point, such as weight or height, while interval data does not have a true zero point, such as temperature on the Celsius or Fahrenheit scale.
In summary, the mode is used with nominal data, the median is used with ordinal data, and the mean is used with interval and ratio data.
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the area of a square whose all sides are 3cm is
Answers
Step-by-step explanation:
Hey there!
The sides of a square; 3cm.
Area = l^2
\(area = {3}^{2} \)
\(a = 9\)
Therefore, the area is 9cm^2.
Hope it helps...
What is 3 times 3 +77-23/4
Answers
Answer:
80.25
Step-by-step explanation:
ILL GIVE BRAINLIEST!!! Please expand this equation.
Answers
Answer:
fx = x^4 - 7x^3 + 7x^2 + 21x - 30
the symbol ^ means the power of.
Six times a larger number is equal to the sum of a smaller number and 18. the difference of twice the larger number and the smaller number is 6. let x represent the smaller number and y represent the larger number. which equations represent the situation? y = 6 x 18. y = 2 x minus 6. y = 6 (x 18). y = 2 (x minus 6). y = one-sixth x 3. y = one-half x 6. y = one-sixth x 3. y = one-half x 3.
Answers
y = x/6 + 3 and y = x/2 + 3 are the equations that represents the situation.
Given,
Smaller number = x
Larger number = y
It is implied that six times a larger number is equal to the product of a smaller number and 18;
6y = x + 18
Divide both sides by 6
y = x/6 + 3
The fact that the greater number is twice as little as the smaller number, which equals 6;
2y = x + 6
Divide both sides by 2
y = x/2 + 3
Solve both equations;
2y = x + 6
x = 2y - 6
Apply the value of x in 6y = x + 18
6y = x + 18
6y = 2y - 6 + 18
6y - 2y = 12
4y = 12
y = 12/4
y = 3
Now,
x = 2y - 6
x = 2 × 3 - 6
x = 6 - 6
x = 0
Therefore,
The equations that represents the situation are;
y = x/6 + 3
y = x/2 + 3
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1) The first term in an arithmetic series is 2, while the sum of the first 8 terms of the series is 1472. What is the 8th term in the series?
A) 262
B) 314
C) 366
D) 418
Answers
Answer:
Is not the answer but is how to do it. Sorry
Step-by-step explanation:
you got the value of a=2
use the formula
S=n/2 [2a+(n-1)d] then calculate d from here..
put it in t=a+(n-1)d
The requreid 8th term in the series is 366, which is an option (C).
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
We can use the formula for the sum of an arithmetic series, which is:
S = n/2 * (a + l)
Since we are given that the first term is 2, we can write the formula for the sum of the first 8 terms as:
1472 = 8/2 * (2 + l)
1472 = 4 * (2 + l)
368 = 2 + l
l = 366
Therefore, the 8th term in the series is 366, which is an option (C).
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how do i estimate 260000?
Answers
Answer:
260000
Estimate = 300000
Please help! (Also show work)
Tutorials :D
Answers
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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what is the slope for get fit gym?
Answers
Drag each equation to show if it could be a correct first step to solving the
equation
3(x+8)= 42.
Put in Yes, No, or Not Enough Information category.
Answers
Answer:
The first step to solving the equation is:
\(3x+24 = 42\)
Hence, 3x + 24 = 42 is the correct option.
Step-by-step explanation:
Given the equation
\(3(x+8)= 42\)
First of all, we need to apply the distributive law on the left side of the equation to expand the equation.
\(\quad \:a\left(b+c\right)=ab+ac\)
So the equation would be expaneded using the distributive law on the left side of the equation
\(3(x+8) = 42\)
\(3x+24 = 42\) ∵ a(b+c) = ab + ac
Therefore, the first step to solving the equation is:
\(3x+24 = 42\)
Hence, 3x + 24 = 42 is the correct option.
Answer: Just switch the two I got wrong, and you'll get them all right!<3
Step-by-step explanation:
A rectangle is a quadrilateral with 444 right angles. A rhombus is a quadrilateral with 444 sides of equal length. What is the most precise name for a shape that is both a rectangle and a rhombus
Answers
Answer:
Square
Step-by-step explanation:
A shape with 4 right angles and 4 sides of equal length is a square
It makes sense if you think about it for a couple minutes
Aleka and Helene both opened savings accounts that earn 2. 5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year. X = number of years Aleka: f(x) = 2500(1. 025)x Helene: g(x) = 1500(1. 025)x 200x Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years? h(x) = –1000(1. 025)x 200x h(x) = 1000(1. 025)x 200x h(x) = 1000(1. 025)x – 200x h(x) = 4000(1. 025)x 200x.
Answers
The function that represents the difference between the value of Aleka's and Helene's total savings after x years is h(x) = 1000(1.025)^x - 200x.
To determine the function that represents the difference between the value of Aleka's and Helene's total savings after x years, we need to subtract Helene's total savings from Aleka's total savings.
1: The function for Aleka's total savings after x years is f(x) = 2500(1.025)^x.
2: The function for Helene's total savings after x years is g(x) = 1500(1.025)^x + 200x.
3: To find the difference, subtract g(x) from f(x): h(x) = f(x) - g(x).
4: Substitute the expressions for f(x) and g(x) into the equation for h(x):
h(x) = 2500(1.025)^x - (1500(1.025)^x + 200x).
5: Simplify the expression by distributing the negative sign:
h(x) = 2500(1.025)^x - 1500(1.025)^x - 200x.
6: Combine like terms to simplify further:
h(x) = (2500 - 1500)(1.025)^x - 200x.
7: Simplify the coefficients:
h(x) = 1000(1.025)^x - 200x.
Therefore, the function that represents the difference between the value of Aleka's and Helene's total savings after x years is h(x) = 1000(1.025)^x - 200x.
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