Decide which item is the better purchase in the scenario below.
12-oz. bag of chips for $3.40
or
a 3-oz. bag for $0.75
3-oz.bag
12-oz. bag
Answers
Related Questions
To study the effect of mindfulness meditation on mental health, an experimental investigation was done by comparing serum cortisol (as an indicator of stress level) between 2 groups of medical students who volunteered to participate in the study. Group 1 took a 4- day meditation program, while Group 2 did not. Volunteers from both groups then had a blood test and their serum cortisol was measured in nmol/L. Results were as follows: Group 1: 267 245 263 316 246 282 379 300 291 306 425 190 346 150 344 Group 2 470 222 443 506 455 518 360 408 375 246 189 368 Do the results support the hypothesis that meditation helps reduce stress level, with 95% confidence? You must properly identify and follow all the necessary steps for this investigation (Hint: for comparing variances, you can use 98% confidence.)
Answers
The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:
Step 1: Define the hypothesis:
The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.
The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.
Step 2: Identify the appropriate statistical test:
Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.
Step 3: Set the significance level:
The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.
Step 4: Calculate the sample statistics:
Calculate the means, standard deviations, and sample sizes for both groups.
Group 1:
Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2
Standard deviation (s1) = 70.764
Sample size (n1) = 15
Group 2:
Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5
Standard deviation (s2) = 109.057
Sample size (n2) = 12
Step 5: Conduct the statistical test:
We can now perform an independent samples t-test using the sample statistics.
Step 5a: Test for equal variances:
Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.
Null hypothesis (H₀): The variances of the two groups are equal.
Alternative hypothesis (Hₐ): The variances of the two groups are not equal.
Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.
F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)
The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.
Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.
Step 5b: Conduct the t-test:
Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.
Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362
t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227
Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25
Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.
Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.
In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
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A prism has height x +1 and base area x^4-x^3+3x^2-3x+3. The function that represents the prism's volume is?
Even
Odd
Neither
Answers
Answer: even
Step-by-step explanation:
Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each
mile driven. The total cost, C (in dollars), for driving x miles is given by the following function.
cx) =0.09x +13.50
What is the total rental cost if Mary drove 20 miles?
Answers
Answer:
15.3 dollars
Step-by-step explanation:
13.50 + (.09 x 20 = 1.8)
13.50 + 1.8
Two-thirds cups of sugar are
needed for each jug of
lemonade.
Answers
Answer:
okay?... and...?
Step-by-step explanation:
What is the slope of the line represented by the equation y = y equals 4 Over 5 x minus 3.x – 3?
Answers
Answer:
\(slope=\frac{4}{5}\)
Step-by-step explanation:
\(y=\frac{4}{5} x-3\)
This is written in slope-intercept form:
\(y=mx+b\)
m is the slope and b is the y-intercept. x and y are the corresponding points (x,y).
Therefore, the slope is \(\frac{4}{5}\).
:Done
b. find the proportion of her laps that are completed between 127 and 130 seconds. c. the fastest 2% of laps are under seconds. d. the middle 70% of her laps are from seconds to seconds.
Answers
We find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139. Any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps. The middle 70% of her laps are between 119 and 131 seconds.
To answer your questions, we first need to have some context on what we're dealing with. You mentioned "her laps," so I assume we're talking about a person who is running or swimming laps. We also need to know the distribution of her lap times (i.e., are they normally distributed, skewed, etc.) in order to answer these questions accurately. For now, let's assume that her lap times are normally distributed.
To find the proportion of her laps that are completed between 127 and 130 seconds, we need to calculate the area under the normal distribution curve between those two values. We can do this using a calculator or a statistical software program, but we need to know the mean and standard deviation of her lap times first.
Let's say the mean is 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139.
To find the fastest 2% of laps, we need to look at the upper tail of the distribution. Again, we need to know the mean and standard deviation of her lap times to do this accurately. Let's say the mean is still 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98th percentile (i.e., the fastest 2% of laps) is about 2.05. We can then use the formula z = (x - mu) / sigma to find that x = z * sigma + mu, where x is the lap time we're looking for. Plugging in the numbers, we get x = 2.05 * 5 + 125 = 135.25 seconds.
Therefore, any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps.
Finally, to find the middle 70% of her laps, we need to look at the area under the normal distribution curve between two values, just like in part However, we need to find the values that correspond to the 15th and 85th percentiles, since those are the cutoffs for the middle 70%. Using the same mean and standard deviation as before, we can use a standard normal distribution table or calculator to find that the z-scores corresponding to the 15th and 85th percentiles are -1.04 and 1.04, respectively.
We can find that the lap times corresponding to those z-scores are 119 seconds and 131 seconds, respectively. Therefore, the middle 70% of her laps are between 119 and 131 seconds.
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find a b, 2a 3b, |a|, and |a − b|. a = 3, −4 , b = −3, 4
Answers
10 , [ -3 , 4 ] and [ 0 , 0 ] are the values in linear equation .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
a = [ 3, -4 ]
b = [ -3,4 ]
a + b = [ 3, -4 ] + [ -3,4 ]
= [ 0 , 0 ]
2a + 3b = 2 [ 3, -4 ] + 3 [ -3,4 ]
= [6 , -8 ] + [-9 , 12 ]
= [ -3 , 4 ]
l a - b l = l [ 3, -4 ] - [ -3,4 ]
= l [ 6 , -8 ] l
= √36 + 64
= √100
= 10
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The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points (4,0) and (7,0) (0, 4) and (7,0) • (4,0) and (0,7) (0, 4) and (0,7) none of the above
Answers
Step-by-step explanation:
The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).
the
net migration is confusing me. i thought of using the formula:
[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration?
do i p
Answers
The value of the rate of growth in Japan is - 0.55.
From the question above, :Birth rate = 7.7 per thousand
Death rate = 9.8 per thousand
Net migration = 0.55 per thousand
The rate of growth can be calculated using the following formula:
r = (birth rate - death rate) + net migration
Where,r = rate of growth
birth rate = number of live births per thousand in a population in a given year
death rate = number of deaths per thousand in a population in a given year
net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year
Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.
Therefore, the rate of growth in Japan is - 0.55.
Your question is incomplete but most probably your full question was:
thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration.
Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan
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Change the following decimals to fractions.
Give your answers in their simplest form.
a) 0.9
b) 0.32
c) 0.125
Answers
Answer:
9/10
8/25
1/8
Step-by-step explanation:
90/ 100 = 9/10
32/100 = 8/25
125/1000 = 1/8
Answer: 9/10 8/25 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaand 1/8
Step-by-step explanation:
1) A plane averaged 412 miles per hour on a trip that
lasted 3 3/4 hours. How far did the plane fly?.
Answers
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
Prove: △ACO ≅ △BCO
Circle O is shown. Line segments A O and B O are radii. Tangents C B and C B intersect at point C outside of the circle. A line is drawn to connect points C and O.
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because .
We also know that AC ≅ BC since .
Using the reflexive property, we see that .
Therefore, we conclude that △ACO is congruent to △BCO by the .
Answers
Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
please mark brainliest.... hope you have a great day ! XD
The two column proof of the fact that △ACO is congruent to △BCO is; SSS Congruence Theorem
How to write the two column proof?
We are given that;
angle AOB is a central angle of circle O
angle ACB is a circumscribed angle of circle O.
Now, AO ≅ BO. The reason is because all radii of the same circle are congruent.
We are told that; AC ≅ BC. The reason is because tangents to a circle that intersect each other are congruent.
Using the reflexive property, we see that side CO is congruent to side CO.
Finally, we can conclude that △ACO is congruent to △BCO by the SSS congruence theorem.
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use polar coordinates to find the volume of the given solid. enclosed by the hyperboloid −x2 − y2 z2 = 46 and the plane z = 7
Answers
The volume of the solid enclosed by the hyperboloid and the plane is 4π² (√3 - 7) cubic units.
To find the volume of the solid enclosed by the hyperboloid −x^2 − y^2 + z^2 = 46 and the plane z = 7, we can use polar coordinates to simplify the calculations.
In polar coordinates, we express the variables x, y, and z as functions of the radial distance ρ and the angle θ. The conversion from Cartesian coordinates to polar coordinates is given by:
x = ρ cos(θ)
y = ρ sin(θ)
z = z
Let's rewrite the equation of the hyperboloid in terms of polar coordinates:
−(ρ cos(θ))^2 − (ρ sin(θ))^2 + z^2 = 46
−ρ^2 cos^2(θ) − ρ^2 sin^2(θ) + z^2 = 46
−ρ^2 + z^2 = 46
Since we are interested in the region above the plane z = 7, we need to find the limits of integration for the variables ρ and θ. The radial distance ρ ranges from 0 to a value that satisfies the equation −ρ^2 + 49 = 46. Solving this equation, we get ρ = √3.
The angle θ ranges from 0 to 2π since we want to cover the entire solid.
Now, we can express the volume of the solid using polar coordinates. The volume element in polar coordinates is given by dV = ρ dz dρ dθ.
To find the volume, we integrate the volume element over the appropriate range:
V = ∫∫∫ dV
= ∫∫∫ ρ dz dρ dθ
= ∫₀²π ∫₇ᵛᵛ₃ ∫₀²π ρ dz dρ dθ
Simplifying the integral, we have:
V = ∫₀²π ∫₇ᵛᵛ₃ 2πρ (z) dz dρ
= 2π ∫₀²π ∫₇ᵛᵛ₃ ρ (z) dz dρ
Evaluating the inner integral, we have:
V = 2π ∫₀²π [(z|₇ᵛᵛ₃)] dρ
= 2π ∫₀²π [z|₇ᵛᵛ₃] dρ
= 2π ∫₀²π [(7 - √3) - 7] dρ
= 2π ∫₀²π [√3 - 7] dρ
= 2π (√3 - 7) ∫₀²π dρ
= 2π (√3 - 7) [ρ|₀²π]
= 2π (√3 - 7) [2π - 0]
= 4π² (√3 - 7)
By using polar coordinates, we simplify the given solid's representation and express the volume as an integral in terms of ρ, z, and θ. We determine the limits of integration and perform the necessary calculations to find the final result.
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A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed). Determine the operating characteristics of this system.
Which type of queuing problem is this?
a) Finite Population
b) Undefined Service Rate
c) Multi-Server
d) Finite Que
e) Constant Service Rate
f) Simple Single Server
Answers
The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).
The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.
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5-|p+6|=-8 Show its solution set on a number line
Answers
The solution set on the number line is the interval from -19 to 7, inclusive.
To solve this equation, we can start by isolating the absolute value term by adding 5 to both sides:
5 - |p + 6| = -8
|p + 6| = 13
Next, we can split this into two cases, depending on whether p + 6 is positive or negative:
Case 1: p + 6 ≥ 0
In this case, the absolute value is simply p + 6, so we have:
p + 6 = 13
p = 7
Case 2: p + 6 < 0
In this case, the absolute value is -(p + 6), so we have:
-(p + 6) = 13
p + 6 = -13
p = -19
So the solutions are p = 7 and p = -19. We can represent these solutions on a number line by placing a circle at 7 and at -19, and shading the region in between since p can take any value in that interval. The number line would look like this:
<====================o-------------o====================>
-19 7
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If the pair of figures is similar, What is the value of x?
Answers
Answer:
x = 36
Step-by-step explanation:
the numbers are both multiplied by 3
If f(x) = 5x - 6, which of these is the inverse of f(x)?
A. f^-¹(x) = x/5 +6
B. f^-¹(x) = x/5 -6
C. f^-¹(x) = x+6/5
D. F^-¹(x) = x-6/5
Answers
To find the inverse of a function, we need to swap the positions of x and y and then solve for y. In other words, we replace f(x) with y and then solve for x.
So, let's start by swapping x and y in the function f(x) = 5x - 6:x = 5y - 6
Next, we'll solve this equation for y:
x + 6 = 5y
y = (x + 6)/5
Therefore, the inverse of f(x) is f^-1(x) = (x + 6)/5, which is option C.let's find what percent of the total number of quantities is the given number or quantities?
a. Rs 750 Rs 150?
b. 2 km is 600m?
c. 1840 people are 1380 male?
please help me to solve problems
Answers
Answer:
a. 20
b. 30
c. 75
b. 600 / 2000 * 100% (Change it to same unit)
3 / 10 * 100%
30%
You can slove every question by this method.
and dont forget to give me the brainest.
cansomeone help?determine the convergence of the following V % +5 For the function (2) improper Integrais dx (9) L*612) dr o festando
Answers
To determine the convergence of the function, we need to analyze each term separately.For the first term, V % + 5, it is unclear what this means as there is no clear variable or function defined.
what is convergence: Convergence is the idea that lower-income nations may grow more quickly economically than higher-income nations over time, catching up in terms of income per capital. The fact that lower-income nations can gain from capital deepening, which involves increasing the amount of physical capital (such as machinery and equipment) per worker, may be one explanation for this phenomenon. However, due to diminishing returns, the advantages of capital deepening might become less significant over time. By boosting the productivity of existing capital and opening the door to new types of production, technological advancements can help to counteract this effect. .For the second term, improper integral dx, we need to determine the limits of integration and the function being integrated. Without this information, we cannot determine the convergence.For the third term, L*612, it is also unclear what this means as there is no clear variable or function defined.For the fourth term, dr o festando, it is also unclear what this means as there is no clear variable or function defined.herefore, without more information and clarification on the terms, we cannot determine the convergence of the function.
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A single-phase feeder (or branch circuit) conductor will have a total resistance ____ that of one conductor.
Answers
A single-phase feeder or branch circuit conductor will have a total resistance equal to twice that of one conductor.
When referring to a single-phase circuit, we typically have two conductors: a hot (phase) conductor and a neutral conductor. These conductors carry the electrical current. Each conductor has its own resistance, but when considering the total resistance of the circuit, we need to take into account both conductors.
The resistance of a conductor is typically measured per unit length. Assuming that the two conductors in the circuit are of the same material and cross-sectional area, their individual resistances will be equal. When we calculate the total resistance of the circuit, we add the resistances of both conductors together.
Since we have two conductors in a single-phase circuit, the total resistance will be equal to twice the resistance of one conductor. This is because the resistances of both conductors are added together to determine the total resistance of the circuit.
Understanding the total resistance is important for determining voltage drop and power losses in electrical circuits, as well as for proper sizing of conductors to meet safety and electrical code requirements.
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A man sold two computers for Rs. 24,000 each. On one
he gained 20% and on the other, he lost 20%. Find his gain
or loss percentage of his whole transaction.
Answers
Answered
Sale price of first computer = Rs 24000
gain = 20%
So cost of first computer = 100/120 x 24000 = Rs 20,000
Sale price of second computer = Rs 24000
Loss 20%
So cost of second computer = 100/80 x 24000 = Rs 30,000
Total cost = Rs 50,000
Total sale value = Rs 48000
Loss = Rs 2000
Loss % = 2000/50000 x100= 4 % LOSS ANSWER
the water side of the wall of a 70-m-long dam is a quarter circle with a radius of 7 m. determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim.
Answers
The hydrostatic force on the dam is 2,641,100 N and the line of action is 2.625 m.
The hydrostatic force on the dam and its line of action when the dam is filled to the rim can be calculated by using the given information. The water side of the wall of a 70-m-long dam is a quarter circle with a radius of 7 m.
In order to determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim, we can follow the below steps:
Step 1: Calculate the area of the quarter circle. The area of the quarter circle is given by; A = πr²/4 = (22/7) × 7 × 7 / 4 = 38.5 m²
Step 2: Calculate the depth of water- The depth of the water is equal to the radius of the quarter circle. The depth of water is;d = r = 7 m
Step 3: Calculate the hydrostatic pressure- The hydrostatic pressure can be calculated using the formula; P = ρgdwhere,P = Hydrostatic pressureρ = density of water (1000 kg/m³)g = gravitational acceleration (9.8 m/s²)d = depth of the water (7 m)
On substituting the given values in the above formula, we get;P = 1000 × 9.8 × 7 = 68600 N/m²
Step 4: Calculate the hydrostatic force The hydrostatic force on the dam is given by; F = PA where, A = area of the quarter circle (38.5 m²)P = hydrostatic pressure (68600 N/m²)On substituting the given values in the above formula, we get; F = 68600 × 38.5 = 2641100 N
Step 5: Calculate the line of action of hydrostatic force The line of action of the hydrostatic force is given by; h = 3r/8 = 3 × 7 / 8 = 2.625 m .
Therefore, the hydrostatic force on the dam is 2,641,100 N and the line of action is 2.625 m.
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What is the correct simplification of the inequality? 122 > 7(z+8) – 5(6+z)
Answers
Answer:
Simplifying
z = 4 or
48 > z
Step-by-step explanation:
A walking map of a city has a scale of 1 inch to 2,000 feet. Another map of the same city has a scale of 1 inch to 1,500 feet Which map is smaller? Explain how you know.
Answers
by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.
We are given that:
A map of the city has a scale of 1 inch to 2,000 feet.
This means that 1 inch of the map represents the 2,000 feet of the actual area of the city.
Now, we are given another map which has a scale of 1 inch to 1,500 feet.
This means that 1 inch of the map represents the 1,500 feet of the actual area of the city.
So, by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller as it includes more area in a single inch.
Therefore. by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.
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a greeting card is 6 inches wide and 8 inches tall. point a is 3 inches from the fold, as shown. as the card is opened to an angle of 45 degrees, through how many more inches than point a does point b travel? express your answer as a common fraction in terms of $\pi$.
Answers
How many more inches point B travels than point A as the card is opened to an angle of 45 degrees, we need to calculate the arc length between point A and point B along the curved edge of the card. Point B travels π inches more than point A.
The curved edge of the card forms a quarter of a circle, since the card is opened to an angle of 45 degrees, which is one-fourth of a full 90-degree angle.
The radius of the circle is the height of the card, which is 8 inches. Therefore, the circumference of the quarter circle is one-fourth of the circumference of a full circle, which is given by 2πr, where r is the radius. The circumference of the quarter circle is (1/4) * 2π * 8 = 4π inches. Since point A is 3 inches from the fold, it travels an arc length of 3 inches.
To find how many more inches point B travels than point A, we subtract the arc length of point A from the arc length of the quarter circle:
4π - 3 = π inches.
Therefore, point B travels π inches more than point A.
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Kayla is purchasing 5 candles for x dollars each and 5 candle holders for $3. 50 each. Kayla paid a total of $27. 50. This equation can be used to calculate the cost per candle.
Answers
The cost per candle bought by the Kayla is found as $2.
Define the term equation?The notion of an equation in algebra is a mathematical sentence that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.First off, Kayla purchases 5 candle holders despite the fact that 1 candle holder costs $3.50.
As a result of multiplying the cost with one candle holder with 5, which equals $3.50, we get $17.50.
After deducting 17.50 from 27.50, 10 is left.
Thus, if 5 candles cost $10.
Then, divide 10 by 5 = 2
Therefore, a candle was $2.
Thus, the cost per candle bought by the Kayla is found as $2.
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Jorden has 28 golf balls. Of the 28 golf balls 1/7 are yellow. How many balls are yellow?
Answers
Answer:
4
Step-by-step explanation:
Are yellow 1/7 in a percentage of 28=4
Answer:
4
Step-by-step explanation:
Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.
28/7=4
Therefore, 4 of the golf balls are yellow.
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Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.
Answers
Answer:
Area is πr²
Step-by-step explanation:
The area of a circle is given as
A = πr²
Where r, which is half of the circumference of the circle, is the radius of the circle.
Where π = 3.14...
Answer:
πr2.
Step-by-step explanation:
The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.
Please help me I forgot this subject
Answers
Answer:
C
Step-by-step explanation:
In the adjoining figure, the area of the rectangular surfaces of the prism is 720 sq. Cm, XX' 20 cm and XY : XZ: YZ = 5:3 : 4, find the length of XY
Answers
The length of XY, with the area of the rectangular surface of the prism 720 sq.cm, XX' 20 cm and XY : XZ: YZ = 5:3:4, is 12 cm.
Area of the rectangular surface of the prism = 720 sq. cm
XX' = 20 cm
XY : XZ: YZ = 5:3:4
As we know, area of prism = 3 × area of rectangle
⇒720 = 3 × area of rectangle
⇒area of rectangle = 720/3
⇒XY × XX' = 240
⇒XY × 20 = 240
⇒XY = 240/20
⇒XY = 12 cm
Thus, the length of the XY is 12 cm.
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