Answer: A. Cost per egg = $4 .
B. Cost per pound = $ 2.5
C. Cost per roll = $ 0.5
D. Cost per apple = $0.35
Step-by-step explanation:
Formula: cost per item = (total cost) ÷ (number of items)
A. 12 eggs for $3.
Cost per egg = $ (12÷3) = $4
So, Cost per egg = $4 .
B. 3 pounds of peanuts for $7.50
Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5
So, Cost per pound = $ 2.5
C. 4 rolls of toilet paper for $2.
Cost per roll = $ (2 ÷4 ) = $ 0.5
So, Cost per roll = $ 0.5
D. 10 apples for $3.50.
Cost per apple = $ (3.50 ÷ 10)= $ 0.35
So, Cost per apple = $0.35
I need help ❤️pleaseeee
In the entire world there is 1. 4 * 10 to the 21 power liters of water. However only 0. 26% of that water is available for human and plant use. How many liters are available for human and plant use? Do the calculations in scientific notation
There are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world. We can calculate it in the following manner.
To find how many liters of water are available for human and plant use, we need to multiply the total amount of water in the world (1.4 x 10²¹ liters) by the percentage available for human and plant use (0.26% or 0.0026).
The calculation is:
1.4 x 10²¹ liters x 0.0026 = 3.64 x 10¹⁸ liters
Therefore, there are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world.
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a 60-year-old female is diagnosed with hyperkalemia. which symptom would most likely be observed?
Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.
This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.
In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.
Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.
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What is the factored form of 3x+24y? 3(x+8y) 3xy(x+8y) 3(3x+24y) 3xy(3x+24y)
Answer:
yall its AAAAAAAA
Step-by-step explanation:
TRUST ME
The factorized expression of the expression is 3(x + 8y)
What is a factorized expression?A factorized expression is an expression written in a simpler form
The expression is given as:
3x + 24y
Factor out 3 in the expression
3x + 24y = 3(x + 8y)
Hence, the expressions when multiplied that give the expression are 3 and x + 8y
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Find the slope of the line whose equation is 3x-5y=15.
F.) -5
G.) -3/5
H.) 3/5
J.) 3
Answer:
Slope = 3/5
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
y=3/5,x=-3
Step-by-step explanatio
y
A sample of size 50 has sample mean 30 and sample standard deviation 12. Construct a 95% confidence interval for the population mean using this information.
we know that the sample size is 50, the sample mean is 30, and the sample standard deviation is 12. To construct a 95% confidence interval for the population mean, we need to use the formula: CI = X ± t* (s/√n).
where:
- X is the sample mean
- t* is the critical t-value from the t-distribution with (n-1) degrees of freedom and a confidence level of 95%
- s is the sample standard deviation
- n is the sample size.
First, we need to find the critical t-value. Since we have a sample size of 50, our degrees of freedom are (50-1) = 49. Using a t-table or calculator, we can find that the critical t-value for a 95% confidence interval with 49 degrees of freedom is 2.009.
Now we can plug in the values we have: CI = 30 ± 2.009 * (12/√50), Simplifying this expression, we get: CI = 30 ± 4.27
So the 95% confidence interval for the population mean is (25.73, 34.27).
We also need the critical value (z) for a 95% confidence interval, which is 1.96.To calculate the margin of error (ME), use the following formula: ME = z * (s / √n), ME = 1.96 * (12 / √50) ≈ 3.32
Now, construct the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower limit = X - ME = 30 - 3.32 ≈ 26.68
Upper limit = X + ME = 30 + 3.32 ≈ 33.32, So, the 95% confidence interval for the population mean is approximately (26.68, 33.32).
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Using point-slope form, write the equations of the lines that have the following slopes and points.
a) slope = 5, point: (2, -4)
b) slope = -3/2, point: (-2, 9)
TRUE / FALSE. marginal cost always reflects the cost of variable factors.
True. Marginal cost refers to the additional cost incurred by producing one more unit of output.
Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.
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Find an expression which represents the sum of (3x+9y)(3x+9y) and (5x+7y)(5x+7y) in simplest terms.
The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
According to our question-
(7x – 6y) and (3x – 5y
Then the sum of the expressions will be
(7x – 6y) + (3x – 5y)
7x – 6y + 3x – 5y
10x – 11y
Hence, The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.
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when comparing more than two condition means, why should an analysis of variance be used instead of multiple t tests? a. using multiple t tests increases the risk of a type i error. b. using multiple t tests increases the risk of a type ii error. c. the analysis of variance is more likely to detect statistical significance. d. there is no advantage to using an analysis of variance instead of multiple t tests. a. there are no differences between any of the population means. b. at least one of the three population means is different from another population mean. c. all three of the population means are different from each other. d. one population mean is different from one of the other population means, but not the other population mean. a. r2
When comparing means of three or more conditions, an analysis of variance (ANOVA) should be used instead of multiple t-tests. This is because using multiple t-tests increases the risk of a type I error, where a significant difference is found when there is none. ANOVA controls for this by using a single test to determine if there is a significant difference between the means. Additionally, using multiple t-tests increases the risk of a type II error, where a significant difference is not found when there is one.
ANOVA is also more likely to detect statistical significance between the means because it takes into account the variability within each condition as well as the variability between conditions. This increases the power of the test and reduces the chances of missing a significant difference between the means.
When using ANOVA, the results can indicate that there are no differences between any of the population means (option a), that at least one of the three population means is different from another population mean (option b), that all three of the population means are different from each other (option c), or that one population mean is different from one of the other population means, but not the other population mean (option d).
Finally, ANOVA provides a measure of effect size, typically reported as r2, which indicates the proportion of variability in the data that can be attributed to the differences between the conditions. This can be useful in determining the practical significance of the results.
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How tall is 1.3 m in feet and inches?
1.3 meters is approximately equal to 4 feet and 3 inches, while 1 meter is approximately equal to 3 feet \(3\frac{3}{8}\) inches.
1.3 meters is equivalent to approximately 4 feet and 3 inches.
To convert meters to feet and inches, we can use the following conversion factors:
1 meter = 3.28084 feet
1 foot = 12 inches
To convert 1.3 meters to feet, we can multiply 1.3 by 3.28084, which gives us 4.26576 feet. To convert the decimal part of the feet to inches, we can multiply it by 12, which gives us 0.18912 inches. Rounding this value to the nearest whole number, we get 0 inches. Therefore, 1.3 meters is approximately equal to 4 feet and 3 inches.
Here are some other common conversions between meters and feet/inches:
1 meter = 3.28084 feet or approximately 3 feet \(3\frac{3}{8}\) inches2 meters = 6.56168 feet or approximately 6 feet \(6\frac{3}{4}\) inches3 meters = 9.84252 feet or approximately 9 feet \(10\frac{1}{8}\) inches4 meters = 13.12336 feet or approximately 13 feet \(1\frac{1}{2}\) inches5 meters = 16.40420 feet or approximately 16 feet \(4\frac{7}{8}\) inches6 meters = 19.68504 feet or approximately 19 feet \(8\frac{1}{4}\) inches7 meters = 22.96588 feet or approximately 22 feet \(11\frac{5}{8}\) inches8 meters = 26.24672 feet or approximately 26 feet \(2\frac{3}{8}\) inches9 meters = 29.52756 feet or approximately 29 feet \(6\frac{3}{4}\) inches10 meters = 32.80840 feet or approximately 32 feet \(9\frac{5}{8}\) inchesNote that these are approximate values and may differ slightly depending on the rounding convention used.
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E
13
12
D 5
F
cos(F)
Check
sin(F) =
Check
tan(F) =
Answer:
see explanation
Step-by-step explanation:
cos F = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{EF}\) = \(\frac{5}{13}\)
sin F = \(\frac{opposite}{hypotenuse}\) = \(\frac{ED}{EF}\) = \(\frac{12}{13}\)
tan F = \(\frac{opposite}{adjacent}\) = \(\frac{ED}{FD}\) = \(\frac{12}{5}\)
PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS
Answer:
36
Step-by-step explanation:
All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.
As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36
Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30
Answer:
D) 2x² + 4x - 30
Step-by-step explanation:
Follow the FOIL method:
FOIL =
First
Outside
Inside
Last
...and is the order you multiply to solve:
(x + 5)(2x - 6) =
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Combine like terms. Simplify:
2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30
2x² + 4x - 30 is your answer.
~
7 x 5/6 simplify if possible
Answer:
5 5/6 or 5.83Step-by-step explanation:
To answer make the whole number a fraction.
7/1 x 5/6 = 35/6
To simplify 35/6 see how many times 6 can go into 35. The answer to this is 5. So there is 5/6 left. The answer is 5 5/6.
Have a nice day! Hope this helps!
What is the mole of H2?
One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
What is mole?A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.
The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
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Find a line that lies entirely in the set defined by the equation x^2 + y^2 - z^2 = 1
The equation x² + y² - z² = 1 defines a hyperboloid of one sheet. It is a three-dimensional surface that curves in opposite directions along the x and y axes while curving in the same direction along the z axis.
The equation x² + y² - z² = 1 will define a hyperboloid of one sheet, and any line lying in it will also lie on the hyperboloid of one sheet. A possible line is given by the vector function:r(t) = (t, √(t² - 1), -√(t² - 1)) where t > 1 and t is a real number.If we substitute the values of x, y, and z into the hyperboloid equation, we can check that the line lies entirely on the surface.
We have:(t)² + (√(t² - 1))² - (-√(t² - 1))² = 1⇒ t² + (t² - 1) = 1⇒ 2t² - 1 = 1⇒ t² = 1Hence, the line r(t) lies entirely in the set defined by the equation x² + y² - z² = 1.
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Consider that X is a random variable that follows lognormal distribution. Assume that μ ln(x)
=μ=4.5 and σln(x)=σ=0.8. Calculate P(X≤100). (Round to the nearest ten-thousandth) QUESTION 4 Suppose that the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with α=5 and β=2. Calculate P(X≤0.6). (Round to the nearest ten-
The probability of X being less than or equal to 100, given a lognormal distribution with μ=4.5 and σ=0.8, is calculated to be approximately 0.0003.
To calculate P(X≤100), we use the properties of the lognormal distribution with the given parameters μ=4.5 and σ=0.8. The lognormal distribution is characterized by its mean and standard deviation on the natural logarithmic scale.
First, we need to convert the value 100 to its natural logarithmic equivalent. Taking the natural logarithm of 100 gives ln(100) = 4.6052.
Next, we standardize the logarithmic value using the formula z = (ln(x) - μ) / σ. Plugging in the values, we get z = (4.6052 - 4.5) / 0.8 ≈ 0.1327.
Now, we need to find the probability corresponding to this standardized value. Using a standard normal distribution table or calculator, we can find that the probability associated with z = 0.1327 is approximately 0.0003.
Therefore, P(X≤100) is approximately 0.0003. This means that the probability of observing a value less than or equal to 100 from the lognormally distributed variable X is extremely small.
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need help with homework
A, B, D, and E are all cοrrect statements abοut ∆ABC. A is cοrrect because AĒ is an angle bisectοr fοr <ABC. B is cοrrect because AB/AD is nοt equal tο AC/CE. D is cοrrect because the measure οf <CBA is 90°. Lastly, E is cοrrect because BD is an altitude οf ∆ABC.
What is angle?An angle is a figure fοrmed by twο rays, called the sides οf the angle, sharing a cοmmοn endpοint, called the vertex οf the angle. Angles are measured in degrees, using a prοtractοr. They can be either acute, οbtuse, right, οr straight. Angles can alsο be named by their vertex, such as vertex B. Angles can be used tο measure the size οf arcs and sectοrs, as well as the measure the amοunt οf rοtatiοn οf a shape.
An angle bisectοr is a line that divides an angle intο twο equal parts, sο A is cοrrect. The ratiο οf the lengths οf twο sides οf a triangle are nοt always equal, sο B is cοrrect. The measure οf <CBA is 90°, sο D is cοrrect. Lastly, an altitude οf a triangle is a line segment frοm a vertex οf the triangle, perpendicular tο the οppοsite side, sο E is cοrrect.
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the tennis team wins 73% of their games. if they play 10 games, what is the probability that they win nine games?
The Probability that the tennis team won 9 games is 1.35% , under the given condition that the tennis team wins 73% of their game, if they play 10 games.
Therefore, probability of winning nine games out of ten with a 73% win rate can be evaluated using the binomial distribution formula
\(P(X=k) = (n choose k) * p^k * (1-p)^{(n-k)}\)
Here
P(X=k) = probability of winning k games out of n games
n = total number of games played (n=10)
k = number of games won (k=9)
p = probability of winning a single game (p=0.73)
Staging the values in the formula
\(P(X=9) = (10 choose 9) * 0.73^9 * (1-0.73)^{(10-9)}\)
= ( 10 - 9) x (0.05) x ( 0.27)¹
= 1 x 0.05 x 0.27
= 0.0135
Converting into percentage
0.0135 x 100
= 1.35%
The probability that the tennis team won 9 games is 1.35% , under the given condition that the tennis team wins 73% of their game, if they play 10 games.
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When using Chebyshev's Theorem, the minimum percentage of sample observations that will fall within two standard deviations of the mean will be __________ the percentage within two standard deviations if a normal distribution is assumed (Empirical Rule).
smaller than
greater than
the same as
When using Chebyshev's Theorem, the minimum percentage of sample observations that will fall within two standard deviations of the mean will be smaller than the percentage within two standard deviations if a normal distribution is assumed (Empirical Rule).
1. Chebyshev's Theorem states that for any dataset, at least (1 - 1/k^2) of the data will fall within k standard deviations of the mean, where k is a positive integer greater than 1.
2. In this case, k = 2, so using Chebyshev's Theorem, at least (1 - 1/2^2) = (1 - 1/4) = 3/4, or 75% of the data will fall within two standard deviations of the mean.
3. On the other hand, the Empirical Rule states that, for a normal distribution, approximately 95% of the data falls within two standard deviations of the mean.
4. Therefore, the minimum percentage using Chebyshev's Theorem (75%) is smaller than the percentage under the Empirical Rule (95%).
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find the mass of the rectangular region 0≤x≤4, 0≤y≤3 with density function rho(x,y)=3−y
To find the mass of the rectangular region with the given density function rho(x, y) = 3 - y, where 0 ≤ x ≤ 4 and 0 ≤ y ≤ 3, we need to calculate the double integral of the density function over the region.
The mass of a region can be found by integrating the product of the density function and the area element over the region. In this case, the density function is rho(x, y) = 3 - y.
To calculate the mass, we need to set up the double integral over the rectangular region. The integral is given by:
M = ∬(0 to 4)(0 to 3) (3 - y) dA
To evaluate this integral, we integrate with respect to y first, and then with respect to x:
M = ∫(0 to 4) ∫(0 to 3) (3 - y) dy dx
Integrating with respect to y, we get:
M = ∫(0 to 4) [3y - (1/2)y^2] (0 to 3) dx
Simplifying the integral, we have:
M = ∫(0 to 4) (9/2) dx
Evaluating the integral, we get:
M = (9/2) * x | (0 to 4)
M = (9/2) * 4 - (9/2) * 0
M = 18
Therefore, the mass of the rectangular region is 18
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Select the correct answers for each blank
1
2
3
4
5
the definition of
congruence does not
mean measures are equal
the subtraction property
of equality applies to
numbers, not angles
the sum of angles equals
an angle must be shown
first by using the angle
addition postulate
We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.
What is an angle?An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.
The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.
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Describe two different sequences of transformations in
which the blue figure is the image of the red figure?
For 26
a) We could first rotate clockwise 90 degrees from the origin, and then reflect on the x axis.
b) We could rotate counterclockwise 90 degrees and then reflect on the y axis.
For 27
a) Rotate counterclockwise 90 degrees from the origin, then translate down 1
b) Reflect on x axis, rotate 90 degrees clockwise, then reflect on x axis, translate down 1, left 1
These are just a couple of the possible ways to solve this, try to figure out some more for yourself!
what is the highest form of chinese painting?
I think Landscape painting
Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".
Landscape painting was regarded as the highest form of Chinese painting, and generally still is. The time from the Five Dynasties period to the Northern Song period (907–1127) is known as the "Great age of Chinese landscape".
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278
The uniform distributed between a and b minutes.
The probability of finding a value above x is:
P(X > x) = \(\frac{b-x}{b-a}\)
The time is evenly distributed between 0 and 9 minutes.
This implies that a=0 , b=9
Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.
p(X > 4.25) = \(\frac{9-4.25}{9-0}\)
= 0.5278
There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.
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The monthly cost in dollars of water is used as a linear function of the amount of water used in hundreds of cubic feet HCF. The cost for using 12 HCF of water is $38.90 and the cost for using 50 HCF is $90.20. What is the cost for using 39HCF of water
Answer:
$70.35 for 39 HCF
Step-by-step explanation:
Which process will create a figure that is congruent to the figure shown?
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the motion of an object to the various points without altering its size or shape when its translation takes place in geometry, and all other container throughput shift their vertices or alter their shape.
The scale of the figure doesn't alter the transitions, and Its statistics remain consistent if the scale and shape of its figure are not modified. In this figure, each point is shifted 2/3 away from the y-axis.
Answer:
The 2nd one. (A translation of 4 units up...)
Step-by-step explanation:
I had a better answer last time in answered this, but a rude user named katie deleted it. (She always does that)
I'm having trouble with the following problem. Any help you can give me would be great.
Consider a non-zero vector v in R^3. Arguing geometrically, describe the image and kernel of the linear transformation T from R^3 to R^3 given by:
T(X) = v x X (A.k.a. T(X) is the cross product of the vectors v and X)
Thanks in advance!
The image of T is the set of all vectors orthogonal to v, and the kernel of T is the set of all vectors parallel to v.
The image of the linear transformation T(X) = v x X is the set of all vectors that are orthogonal to v. This is because the cross product of two vectors produces a vector that is orthogonal to both of the original vectors. Therefore, any vector in the image of T must be orthogonal to v.
The kernel of T is the set of all vectors X such that T(X) = 0. In other words, it is the set of all vectors that are parallel to v. This is because if two vectors are parallel, their cross-product is 0. Therefore, any vector in the kernel of T must be parallel to v.
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A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.25. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 25% and the price of coffee will go up 40%. After the increase, the total price of the purchase will be $4.80 and a fruit bowl will cost 3 times as much as a croissant. Find the cost of each item before the increase.
The cost of the croissant before the increase was $0.60 and the cost of the cup of coffee was $1.65.
Let's assume the original price of a croissant is C dollars, the original price of a cup of coffee is F dollars, and the original price of a fruit bowl is B dollars.
From the given information, we can set up the following equations:
C + F + B = 5.25 (equation 1) - Total cost of the three items before the increase is $5.25.
1.25C + 1.4F + B = 4.80 (equation 2) - Total cost of the three items after the increase is $4.80.
B = 3C (equation 3) - The cost of a fruit bowl is 3 times the cost of a croissant.
Now, let's solve the equations:
Substituting equation 3 into equation 1, we get:
C + F + 3C = 5.25
4C + F = 5.25 (equation 4)
Substituting equation 3 into equation 2, we get:
1.25C + 1.4F + 3C = 4.80
4.25C + 1.4F = 4.80 (equation 5)
We now have a system of two equations (equations 4 and 5) with two variables (C and F). Solving this system of equations will give us the values of C and F, which represent the original costs of the croissant and the cup of coffee, respectively.
By solving equations 4 and 5 simultaneously, we can find that C ≈ 0.60 and F ≈ 1.65.
Therefore, the cost of the croissant before the increase was approximately $0.60 and the cost of the cup of coffee was approximately $1.65.
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