According to the information we can infer that July earns $675 per week (answer 1), $715 every weekend (answer 2); $5,560 per month (answer 3), $3,050 for additional services (answer 4), and $8,610 as a year's total (answer 5).
How much does July make per week (answer 1)?To calculate how much does July make per week we have to take into account the following information:
Services that July currently make every week.
3 natural looks lashes2 volume lashes2 brow laminations2 full face waxing1 bikini waxTo calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.
3 * $65 = $1952 * $85 = $1702 * $80 = $1602 * $45 = $901 * $60 = $60$195 + $170 + $160 + $90 + $60 = $675
How much does July make on the weekend (answer 2)?To calculate how much does July make per weekend we have to take into account the following information:
Services that July currently make every weekend.
2 body massages2 natural look lash extensions3 mega volume extensions2 facialsTo calculate the total earned by July we have to multiply the price of each service by the number of customers of each one. Additionally, we have to add all results as shown in the following.
2 * $85 = $170
2 * $65 = $130
3 * $95 = $285
2 * $65 = $130
$170 + $130 + $285 * $130 = $715
How much does July make on a given month (answer 3)?To calculate how much July makes on a given month we have to add the weekend earnings with week earnings and multiply it by four (taking into account that a month has four weeks).
$715 + $675 = $1,390
$1,390 * 4 = $5,560
How much would July make for additional services alone per year (answer 4)?To calculate the total earned by July for additional services we have to calculate the total value of these services and multiply it by five.
2 * $185 = $370
3 * $80 = $240
$240 + $370 = $610
$610 * 5 = $3,050
How much would July make in a year for her regular services plus the additional services mentioned in question #4 (answer 5)?To calculate how much would July make in a year for her regular services plus the additional services of the question 4, we have to add both values.
$5,560 + $3,050 = $8,610
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which operationalization is most appropriate for the independent variable of the proposed follow-up experiment
Type of communication developed by teaching a doctor who is also a collaborator to utilize patient-centered communication or a non-patient-centered communication style.
What is appropriate for the independent variable?As the researchers are interested in the effect of type of communication on level of mistrust; therefore, type of communication is the independent variable. To establish a causal relationship between the two variables, the independent variable needs to be manipulated, as described in C, by training the doctor to adopt different communication styles.
Here,
Communication style produced by training a doctor who is also a collaborator to use patient-centered communication or a non-patient-centered communication style.
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write an expression with a value of 12. it should contain four numbers and two different operations.
The expression with a value of 12 and containing four numbers and two different operations are 2 × 2 + 4 + 4 = 12.
To write an expression with a value = 12 it should contain four numbers and two different operations, we can use the following method:
Firstly, multiplying :
2 × 2 = 4 -----1
secondly, adding:
4 + 4 = 8 -----2
finally, adding 1 and 2 we get,
4 + 8 = 12
Therefore, the expression with a value of 12 containing four numbers and two different operations is 2 × 2 + 4 + 4 = 12.
Another example is 35 ÷ 5 + 10 ÷ 2 = 12.#
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A box contains 12 tickets labeled with numbers. The number on the tickets are -9, -9, -8, -8, -5, -5, -4, 3, 6, 6, 6, 7 . The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is -16.5
The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box can be calculated by multiplying the expected value of each draw (which is the mean of the numbers on the tickets) by the number of draws.
The mean of the numbers on the given tickets is ( (-9*2) + (-8*2) + (-5*2) + (-4) + (3) + (6*3) + (7) )/12 = (-18 - 16 - 10 - 4 + 3 + 18 +7)/12 = -1.5
So the expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is 11*-1.5 = -16.5.
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Five numbers have a median of 8, a mode of 4, a mean of 9 and a range of 11.
Find the five numbers.
Let x1, x2, x3,x4,x5 be 5 nos in increasing order.
Median of 5 nos =[(5-1)/2 +1 ] th value =
3rd value = 8
x3 = 8 ........(0)
Range = Max - Min = x5 - x1
x5 - x1 = 11
x5 = 11 + x1. .......(1)
Mean = sum of values/ no. of values
(x1+x2+x3+x4+x5)/5 = 9
x1+ x2 +8 +x4+ 11+x1 = 45 _____(using (1) and (0))
2*x1 + x2 + x4 = 45-8-11
2*x1+ x2 + x4 = 22-------------(2)
Now mode = value that occurs most number of times
Mode = 4. -------(3)
Using (3) in (2) we get
2*x1 + 4 + 4 = 22
2*x1 = 14
x1 = 7
From (1)
x5 = x1+ 11 = 7+11= 18
So
x1 = 7, x2 = 4, x3 = 8, x4 = 4, x5 = 18
The table shows data from a local landscaper, estimating the area of flower gardens (x) in square feet, and the dollar cost to install them (y).
When using the median-fit method with summary points (10, 120), (15, 150), and (25, 200), what is the equation of the best-fit model?
y = 5.33x + 67.78
y = 5.94x + 70.00
y = 6.00x + 56.67
y = 6.00x + 60.00
The equation of the best-fit model is given as follows:
y = 5.33x + 67.78.
How to obtain the equation for the regression line?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
The points for this problem are given as follows:
(10, 120), (15, 150), and (25, 200).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 5.33x + 67.78.
Meaning that the correct option is given by the first option.
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The interquartile range is used as a measure of variability to overcome what difficulty of the range?Choose one answer.a. the range is influenced too much by extreme valuesb. the sum of the range variances is zeroc. the range is difficult to computed. the range is negative
The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values
The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.
In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).
The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.
This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.
The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.
These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.
By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.
Therefore, option (a) is correct.
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Match the following vector fields with the verbal descriptions of the level curves or level surfaces to which they are perpendicular by putting the letter of the verbal description to the left of the number of the vector field.
Nonvisual language is used to describe the visual world verbally. It can lead people around a museum, help an audience member find their way around an artwork, or provide them access to the visual elements of a performance.
It was in 1981 when Dr. Margaret Pfanstiehl, founder and president of The Metropolitan Washington Ear Inc., and her husband Cody perfected the art and practice of verbal description.
Standard information found on a label, such as an artist's name, nationality, the title of the artwork, date, dimensions or size of the piece, media, and method, can be found in a spoken description as well. In addition, a vocal description can offer a broad overview of the work's subject matter and structural elements.
1. Lines
2. Planes
3. Hyperboloids
4. Lines
5. Spheres
6. Ellipsoids
7. Paraboloids
8. Hyperbolas
9. Ellipses
10. Hyperbolas
11. Circles
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The rental rate for a car at CarRus is either plan A: $70 a day with unlimited miles or plan B: $40 per day and $0.25 per mile. If you want to rent a car for 4 days and drives 300 miles how much would you save by choosing plan B?
Answer:
$45 would be the savings of option b
Step-by-step explanation:
A. $70*4=$280
B. $40*4=$160 + $0.25*300=$75
a-b =$45
Please see attached photo for better explanation
a fair six-sided die with sides labeled 1 through 6 is rolled. quantity a quantity b the probability that the number rolled is closer to 4 than it is to 2 the probability that the number rolled is closer to 5 than it is to 3
On solving the provided question, we can say that probability that a four or higher number will first emerge on the third or fourth roll.= 4/27 + 8/81 = 20/21
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
On a dice, the numbers 5 and 6 are the ones above 4. The likelihood of receiving a number higher than 4 (i.e., 5 or 6) is = 2/6 = 1/3
and as a result, the likelihood of receiving 4 or less is= 1-1/3 = 2/3
The likelihood that a number larger than 4 will show up on the third roll is equal to
2/3* 2/3 * 1/3 = 4/27
The likelihood that a number larger than 4 will emerge on the fourth roll is equal to =2/3*2/3* 2/3 * 1/3 = 8/81
probability that a four or higher number will first emerge on the third or fourth roll.= 4/27 + 8/81 = 20/21
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[tex]-\sqrt{16y^2}[/tex] if y<0
Answer:
4y
Step-by-step explanation:
You want the simplified form of -√(16y²) if y < 0.
Simplified radicalThe square root function returns the positive root, so this is ...
[tex]-\sqrt{16y^2}=-4|y|[/tex]
The absolute value changes the sign of its negative arguments, so this is ...
[tex]-4|y| = -4(-y) = \boxed{4y}\qquad\text{for $y < 0$}[/tex]
If 5m= 7n, what is the ratio of n to m?
Answer:
the ratio of n to m is 5 : 7
5m = 7 n
n : m = 5 : 7
The triangles below are similar. What is the area of the larger triangle? PLS HELP
HELP ASAP FOR BRAINLIEST
Answer:
First brand: 98 gallons
Second brand: 42 gallons
Step-by-step explanation:
x + y = 140
.4x + .9y = .55*140
x=140-y
.4(140-y) + .9y = 77
56 - .4y + .9y = 77
.5y = 21
y = 42
x + 42 = 140
x = 98
if it's 3 in the morning eastern time zone, in what time zone is it 4 in the afternoon
it would be 1oclock the next day
What are the 7 basic units?
The seven basic SI units are second, meter, kilogram, candela, ampere, mole, kelvin.
The 11th General Conference on Weights and Measures created the International System of Units, or "Système International d'Unités," in 1960. Older systems, like the Imperial system used in the UK and many other countries, were not all that simple to manage or operate, and none were globally standardized. The seven base quantities of what is now known as the International System of Quantities are defined by the International System of Units (SI) as having standard units of measurement. In particular, they comprise a fundamental set from which all other SI units can be formed.
Second (s) – Unit of Time Meter (m) – Unit of LengthKilogram (kg) – Unit of MassAmpere (A) – Unit of Electric CurrentKelvin (K) – Unit of Thermodynamic TemperatureMole (mole) – Unit of Amount of SubstanceCandela (cd) – Unit of Luminous IntensityLearn more about SI units here:
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The equation C = 50m represents the monthly cost of membership at Jane’s current gym. The equation C= 35m represents the monthly cost of membership at a different gym, named Gym City
It can be concluded that Gym city membership fee is less than Jane’s current gym membership fee.
What are expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the equation C = 50m, that represents the monthly cost of membership at Jane’s current gym. The equation C = 35m represents the monthly cost of membership at a different gym, named Gym City
The equation for direct variation is -
y = Kx
where -
{K} denotes the rate of change
Now -
For Jane’s current gym, the equation that represents the monthly cost of membership is C = 50m. This means it costs $50 per month as a membership fee.For Gym City, the equation that represents the monthly cost of membership is C = 35m. This means it costs $35 per month as a membership fee.Therefore, it can be concluded that Gym city membership fee is less than Jane’s current gym membership fee.
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8300 dollar i placed in an account with an annual interet rate of 6. 5%. How much will be in the account after 14year, to the nearet 10th
$20,043.46 would represent the balance of something like the accounts after 14 years.
What exactly is a personal interest?Personal hobbies are enjoyable leisure pursuits. They might be endeavors in hobbies, extracurricular activities, the arts, volunteer work, traditional rituals, spiritual practices, education, and personal growth. Interest is the sum you charge in consideration for a loan or the amount you charge to borrow additional money. Interest is frequently calculated as an annually percentage of the amount borrowed. The interest mostly on loan is the name given to this portion.
The future value calculation formula is as follows:
FV=P(r + 1)nm
where FV stands for future value
P = Current Value
interest rate, or R
m = the quantity of compounding
8300(1.065)14 = $20,043.46 where N is the number of years.
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The complete question is-
8,300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years, to the nearest cent?
The population of a city increases by 2.2% per year. If this year's population is 137,000, what will next year's population be, to the nearest individual?
The next year's population will be 140,014. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
For all real numbers, there are four fundamental mathematical operations that are:
1. The sum of the numbers is achieved through addition ('+').
2. Subtraction with the sign "-," which yields the numbers' differences.
3. Multiplication('×') when the result is the product of the numbers.
4. Division ('÷'), which yields the numbers' quotient.
We are given that the population of a city increases by 2.2% per year and this year's population is 137,000.
Let the population of next year be 'x'
So, we get
⇒137,000 + 137,000(2.2%) = x
⇒137,000 + 3014 = x
⇒140,014 = x
Hence, the next year's population will be 140,014.
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The difference of twice a number and 9 is at least -25.
Answer:
x≥-8
Step-by-step explanation:
Because we don't know the first number mentioned, we can name it as x
Since the problem starts off with "twice a number" so we mark it as 2x and then it states to take the difference of that number and 9. So the new problem we have is 2x-9=?. Now, the answer that we have is at least -25, so the answer is no longer an equal sign, but a greater-than or equal-to sign. Making our new equation 2x-9≥-25. Now we can act as if its a normal equation, adding 9 to both sides making it 2x≥-16, divide both sides by 2 to get x≥-8.
An extra step to ensure our answer is more than or equal to -8 is by plugging in -8 AND another number that is more than -8. 2(-8)-9=? which we would find that ? is -25. A number that is greater than -8 could be -1, which we would test by doing 2(-1)-9=?. ? would be equal to -11 so we know that our final answer of x≥-8 is correct.
Paul usually makes the 100 km journey to visit his family. The trip involves three separate stages:
a) A stage of 20 km that is travelled on small roads at a constant speed of 30 km/h.
b) A stage of 50 km that is travelled on the highway at a constant speed of 100 km/h.
c) A stage of 30 km that is travelled on standard roads at a constant speed of 40 km/h.
The length of the section of roadworks was 121 km.
What is the concept of time and distance?
Time is directly proportional to distance. It means that speed remains constant, if we have two vehicles moving two distances for two different time duration then the time is directly proportional to the distance. Speed is directly proportional to distance.
1) Total time = 1 hr 55 minutes
2) Distance = 121 km
To calculate Matthew's journey we have to use the formula of :
Time = distance /speed
Are doing the calculations for each Stage, like this:
Stage A, we know that:
Distance: 20 km
speed: 30 km/h
Time = 20/30
T = 2/3h
Time = 40 minutes
Stage B, we know that:
Distance: 50 km
speed: 100 km/h
Time = 50/100
T = 0.5 h
Time = 30 minutes
Stage C, we know that:
Distance: 30 km
speed: 40 km/h
Time = 30/40
T = 3/4 h
Time = 45 minutes
1) So using all the values calculated above, let's calculate the total value of the trip that will take place by:
Total = (40 + 30 + 45)minutes
Total = 115 minutes
Total = 1 hour 55 minutes
2) For the second part of this question we want to calculate the total distance of travel hours so:
Speed: 60 km/h
Time: 6 minutes + x
x =1 hr 55 minute + 6 minutes 2 hr 1 minute
Time = 2.01666667
Distance = speed * time
Distance = 60 * 2.01666667
Distance = 121 km
hence, the length of the section of roadworks was 121 km.
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cual es la formula del area
Answer:
Area for triangle : Area = 1⁄2× base × height
Area for square : Area = base × height
Step-by-step explanation:
37) Kelly opened a bank account that earns 1.2% simple interest each year. After 7 years, Kelly will earn $126 in
interest. How much did Kelly deposit when she opened the account? _
Answer:
13.4 dollars
Step-by-step explanation:
13.4 dollars is how much kelly deposit
A polygon is shown, area?
Answer:
34.5 square units.
Step-by-step explanation:
We can construct a 7 x 7 square around the polygon. Then, we measure the two right triangles that together, along with the polygon, make up the 7x7 square. The total measure of the two triangles is 15/2+7=14.5. Now we subtract that from the area of the square to get the area of the polygon. 49-14.5=34.5, so 34.5 square units is the answer.
a test has 75 questions worth 216 points total. the test consists of multiple-choice questions worth 2 points each and short answer questions worth 4 points each. how many of the total points on the test are from short-answer questions? do your figuring here.
There are 33 short-answer questions on the test and 33 * 4 = 132 points are from short-answer questions.
What is algebra ?
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division.
We know that the test has 75 questions and it is worth 216 points total.
We know that multiple-choice questions worth 2 points each and short answer questions worth 4 points each.
To calculate the number of points from short-answer questions, we need to find out how many questions are short-answer and multiply that by 4 (points per question).
Let x be the number of short-answer questions.
We know that x + 75 - x = 75, which is the total number of questions on the test.
Also, we know that x * 4 + (75-x) * 2 = 216, which is the total number of points on the test.
Solving for x, we get:
x * 4 + 150 - 2x = 216
2x = 66
x = 33
So there are 33 short-answer questions on the test and 33 * 4 = 132 points are from short-answer questions.
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6. A cafeteria is trying to scale a small pancake recipe up in order to feed a group of tourists. The recipe feeds
6 people and the cafeteria is trying to feed 75. The recipe calls for 4 cups of flour and 14 cups of milk and
% cup of sugar (as well as some other minor ingredients such as baking powder).
(c) If there are 4 cups in a quart and 4 quarts in a
gallon, will we need more or less than a gallon
of milk for this recipe?
(b) If one 10 pound bag of flour contains 38 cups
of flour, how many pounds of flour will be
needed for this recipe? Round to the nearest
tenth of a pound.
(d) The cafeteria has a 1.5 kilogram bag of sugar.
If a cup of sugar weighs 0.5 pounds and there
are 2.2 pounds per kilogram, does the cafeteria
have enough sugar to make this recipe?
Answer:
c) To feed 75 people, the cafeteria would need 14*75/6 = 21 cups of milk. Since 4 cups are in a quart and 4 quarts are in a gallon, the cafeteria would need 21/16 = 1.3125 gallons of milk, which is more than 1 gallon.
b) For the recipe to feed 75 people, the cafeteria needs 475/6 = 6 cups of flour. A 10 pound bag of flour contains 38 cups, so 6/38 = 0.158 of a 10 pound bag is needed. So the cafeteria needs 0.15810 = 1.58 pounds of flour, rounded to the nearest tenth of a pound.
d) The cafeteria has 1.52.2 = 3.3 pounds of sugar in the 1.5 kilogram bag. A cup of sugar weighs 0.5 pounds, so the cafeteria needs 140.5 = 7 pounds of sugar. The cafeteria has enough sugar as 3.3 pounds is more than 7 pounds.
[tex]y=x^{2} +4x-2[/tex]
An instructor wants to write a quiz with 9 questions where each question is worth 3, 4, or 5 points based on difficulty. he wants the number of 3-point questions to be 1 more than the number of 5-point questions, and he wants the quiz to be worth a total of 35 points. determine the number of 3-point, 4-point, and 5-point questions.
The quiz should have 5 3-point number of questions, 3 4-point questions, and 4 5-point questions, for a total of 35 points.
3-point questions: 5
4-point questions: 3
5-point questions: 4
1. The total number of questions is 9.
2. The total number of points for the quiz is 35.
3. There should be 1 more 3-point question than 5-point questions.
4. So, 5 of the questions should be worth 3 points each, for a total of 15 points.
5. That leaves 4 points remaining.
6. 4 points can be achieved by having 3 4-point questions (12 points) and 4 5-point questions (20 points).
7. Therefore, the number of 3-point, 4-point, and 5-point questions should be 5, 3, and 4 respectively.
The quiz should have 5 3-point questions, 3 4-point questions, and 4 5-point questions, for a total of 35 points.
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what is the sum of the two largest 2-digit distinct counting numbers that are not multiples of 1, 2, or 5?
The sum of the two largest 2-digit distinct counting numbers is 45
The term sum in math is defined as the result of arithmetically adding numbers or quantities
Here we have given that we need to find the sum of the two largest 2-digit distinct counting numbers that are not multiples of 1, 2, or 5.
By using the arithmetic progression here we have all two digit odd positive numbers are 11, 13, 15, 17, ...., 99. which are in AP with the value of
=> a=11,
=> d=2,
=> l=99
Then let the number of terms be n, then it can be calculated as,
=> an=99
=> a+(n−1)d=99
Apply the values on it, then we get,
=> 11+(n−1)×2=99
When we simplify this one then we get the value of n as 45
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Suppose $a$ and $b$ are positive integers such that $\gcd(a,b)$ is divisible by exactly $7$ distinct primes and $\mathop{\text{lcm}}[a,b]$ is divisible by exactly $28$ distinct primes. If $a$ has fewer distinct prime factors than $b$, then $a$ has at most how many distinct prime factors
The number of distinct prime factors are 17
The term prime factors in math is defined as a method to find the prime factors of a given number and it can be said a composite number.
As per the definition of prime factor here we have know that a and b have 7 prime factors in common.
Then it can be written as a*b has 28 prime factors
And here we also know that the number of prime factors of a or b that are not common to both is 21
Here we have also know that a has less prime factors than b so at most 10 of these 21 extra prime factors belong to a
Then the the most prime factors that a can have is calculated as
=> 7 + 10 = 17
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You need 3 sticks of butter for every 24cookies you bake.
Complete the table using equivalent ratios.
Sticks of butter Number of cookies
3 24
?
16 ?
5 ?
The table formed using equivalent ratios.
16 : 128
5 : 40.
Explain the term equivalent ratios?When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, 1:2 and 2:4 have the same ratio.3 sticks of butter -----> 24 cookies.
Let the number of cookies made for other stick of butter be 'y'.
Then, number cookies for the 16 sticks of butter
3/24 = 16/ y
y = 16*24 / 3
y = 128 cookies.
Again, number cookies for the 5 sticks of butter
3/24 = 5/ y
y = 5*24 / 3
y = 40 cookies.
Thus, number of cookies made by 5 sticks of buter are 40.
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