Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answers
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let \(t\) denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges \(= 10+12t\)
For Tami's Toning,
Total charges \(=14t\)
Now solve \(10+12t=14t\)
\(10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5\)
So, total cost of membership will be the same for both gyms after 5 months.
Related Questions
Can someone help me with number 4?
Answers
300m•20=6b population
B is the most accurate
The total area under a probability distribution equals 1.
A.) True
B.) False
Answers
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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When relevant markets are localized, the use of national data to establish concentration ratios tends to Multiple choice question. have no effect on the degree of concentration. understate the degree of concentration. overstate the degree of concentration. improve the concentration estimate.
Answers
The correct answer is b. understate the degree of concentration.
When relevant markets are localized, using national data to establish concentration ratios tends to underestimate the degree of concentration. This is because national data might not accurately reflect the concentration of market power within specific localized markets. Concentration ratios measure the market share of a few large firms in an industry, and when relying on national data, it may not capture the specific market dynamics and competition at the local level.
In localized markets, there may be regional or local competitors that have significant market share and influence but are not adequately represented in national data. By only considering national data, the concentration ratios may not capture the true extent of market concentration within specific localized markets. Therefore, the use of national data tends to underestimate the degree of concentration in such cases. To obtain a more accurate assessment of market concentration in localized markets, it is important to gather and analyze data specific to those markets. This localized data can provide a better understanding of the competitive landscape and the concentration of market power within the relevant markets.
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-(7) to the power of 4
Which expression shows the power correctly written in expanded
notation?
-7 x -7 x -7 x -7
-7 x 7 x 7 x 7
-4 x -4 x -4 x -4 x -4 x -4 x -4
-4 x 4 x 4 x 4 x 4 x 4 x 4
Answers
Answer:
the first one is correct
Step-by-step explanation:
this is the same way as writing 7 to the power of four, but all of the sevens are negative in your case
Answer:-7x-7x-7x-7
Step-by-step explanation:
Beatrice makes a jar of dry soup mix. The ingredients are:
1\frac {3}{4}
4
3
= \frac {7}{4}
4
7
cups uncooked rice
\frac {1}{2}
2
1
cup dry lentils
1\frac {2}{3}
3
2
= \frac{5}{3}
3
5
cups uncooked pasta
\large \frac {1}{3}
3
1
cup beef bouillon
\frac {1}{4}
4
1
cup dried onion flakes
\frac {1}{2}
2
1
cup dried peas
How much soup mix does this recipe make?
Answer the questions to find out.
The sum \frac {7}{4}
4
7
+ \frac {1}{2}
2
1
+ \frac{5}{3}
3
5
+ \large \frac {1}{3}
3
1
+ \frac {1}{4}
4
1
+ \frac {1}{2}
2
1
gives the amount of mix.
1. Which property could you use to change the order of the addends? (2 points)
2. Which property could you use to change the grouping of the addends? (2 points)
3. Use these properties to rewrite \frac {7}{4}
4
7
+ \frac {1}{2}
2
1
+ \frac{5}{3}
3
5
+ \large \frac {1}{3}
3
1
+ \frac {1}{4}
4
1
+ \frac {1}{2}
2
1
in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)
4. Simplify your sum to find the total amount of soup mix. Show your work. (3 points)
Answers
Dr. Jones conducted a study examining the relationship between the quality of breakfast and academic performance for a sample of n=20 first grade students. The students were divided into two equivalent groups. One group was given a nutritious breakfast each morning for 6 weeks and the other group was given a non-nutritious breakfast each day during the same period. Academic performance was measured by each child's grades at the end of the 6-week period to determine whether there was any difference between the two groups. Is this an example of a correlational or an experimental study? Explain your answer A person with strong critical thinking skills and habits of mind is more likely to___________________
Answers
Experimental study: Manipulates variables to observe their impact.
Correlational study: Examines relationships between variables without manipulation.
This study is an example of an experimental study. In an experimental study, the researcher manipulates an independent variable (in this case, the type of breakfast given to the students) and examines its impact on a dependent variable (academic performance). The study involves dividing the participants into two equivalent groups and assigning them to different breakfast conditions.
In this case, the researcher specifically assigned one group to receive a nutritious breakfast and the other group to receive a non-nutritious breakfast. By controlling and manipulating the independent variable, the researcher can observe any potential effects on academic performance, which is the dependent variable. The study design allows for comparisons between the two groups to determine if there are differences in academic performance based on the type of breakfast provided.
On the other hand, a correlational study aims to examine the relationship or association between variables without manipulating them. It does not involve assigning participants to different groups or controlling the independent variable. Instead, it focuses on observing and measuring variables as they naturally occur to assess their potential relationship.
Regarding the second part of your question, a person with strong critical thinking skills and habits of mind is more likely to evaluate information objectively, analyze it systematically, consider multiple perspectives, and make informed and reasoned judgments. They are more likely to engage in logical reasoning, evidence-based thinking, and open-mindedness, leading to more accurate and well-reasoned conclusions.
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The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
P(C) = [?]
Answers
Using it's concept, considering the tree diagram, the probability of event C is given as follows:
P(C) = 0.26.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Each node at the tree is a multiplication, hence the probability of event C is given as follows:
P(C) = 0.6 x 0.3 + 0.4 x 0.2 = 0.18 + 0.08 = 0.26.
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michelle, a basketball player, has made 14 of her 20 free throws this season. if she never misses again, how many free throws would she need to shoot to have a shooting percentage of 90 percent?
Answers
Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.
Let's denote the number of additional free throws that Michelle needs to make as "x." Since she has made 14 out of her 20 free throws this season, her current shooting percentage is:
Current shooting percentage = (Number of made free throws / Total number of attempted free throws) * 100
= (14 / 20) * 100
= 70%
To find the number of additional free throws she needs to shoot to achieve a shooting percentage of 90%, we set up the following equation:
(14 + x) / (20 + x) = 90/100
We can now solve this equation to find the value of x:
(14 + x) / (20 + x) = 0.9
Cross-multiplying gives:
0.9 * (20 + x) = 14 + x
18 + 0.9x = 14 + x
0.9x - x = 14 - 18
-0.1x = -4
Dividing both sides by -0.1 gives:
x = 40
Therefore, Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.
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this exercise shows why each pivot (in eli1nination by pivoting) must be in a different row. (a) in example 7, make the third pivot on entry (3, 3) instead of on entry (3, 2). can you still read off the solution? (b) in exercise 3, part (b), make the following sequence of pivots, entry (3, 1), entry (2, 2), then entry (2, 3). does this provide a solution to the system of equations?
Answers
It is important to carefully choose the entries to pivot on to ensure that each pivot is in a different row.
(a) if we make the third pivot on entry (3, 3) instead of on entry (3, 2), then we will end up with a row of zeros in the third row after performing the row operations. This will make it impossible to read off the solution, as we will have an equation such as 0x + 0y + 0z = a number, which has no unique solution. Therefore, making the third pivot on entry (3, 3) will not provide a valid solution.
(b) if we make the sequence of pivots on entry (3, 1), entry (2, 2), then entry (2, 3), then we will again end up with a row of zeros in the third row after performing the row operations. This is because entry (2, 3) is already zero before we perform the third pivot. This system of equations will also have no unique solution, and thus this sequence of pivots will not provide a valid solution.
These examples illustrate why each pivot in elimination by pivoting must be in a different row. If we attempt to pivot on an entry in a row that has already been pivoted on, we will end up with a row of zeros and no unique solution. Therefore, it is important to carefully choose the entries to pivot on to ensure that each pivot is in a different row.
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Fill in the missing numbers to complete the pattern:
1.52, 1.77,
2.27,
2.77
Submit
Answers
Answer:
1.52,1.77,2.02,2.27,2.52+2.77
Step-by-step explanation:
The pattern is that it increases by 0.25
Hope this helps
Have a nice day! :D
Mark brainliest if possible
work out 11. 28- 2.843
Answers
Answer:
25.157
Step-by-step explanation:
28-2.843=25.157
can someone help out with these 2 questions please?
Answers
The value of x and y in equation (a) is x = 2 and y = 41
The value of x and y in equation (b) is x = 3 and y = 4
What do you mean by parallelogram ?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
To solve the first quadrilateral
Let ABCD is a quadrilateral
given that,
AB = 2x + 7
DC = x + 7
∠A = (2y - 5)°
∠D = (2y + 21)°
To find the value of x and y
2x + 7 = x + 9
2x - x = 9-7
x = 2
put the value of x in equation
2y - 5 + 2y +21 = 180°
4y + 16 = 180°
4y = 180° - 16
y = 164/4
y = 41
Hence,the value of x and y is 2 and 41
In second quadrilateral we have given that,
ABCD is a parallelogram
As we know that the diagonals of a parallelogram bisect each other
so, OD = OB ana OA = OC
2y + 13 = 5y + 4
13 - 4 = 5y - 2y
9 = 3y
y = 9/3
y = 3
now, OA = OC
x + 8 = 16 - x
x + x = 16 - 8
2x = 8
x = 8/2
x = 4
Hence, the value of x and y is 4 and 3
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Solve and Graph the Inequalities
Answers
Answer:
1) 2 + 5k ≤ -18
5k ≤ -20
K ≤ -4
2) -7 > 3 + r/5
-10 > r/5
-50 > r
3) -6 + a/2 < -6
a/2 < 0
a < 0
4) -10 ≤ 5 - 3y
-15 ≤ -3y
5 ≤ y
5) 5 - 6z < 29
-6z < 24
z < -4
6) 5c + 2 ≥ -28
5c ≥ -30
c ≥ -6
7) -4 + x/2 ≥ -10
x/2 ≥ -6
x ≥ -12
8) 4d + 5 ≤ -27
4d ≤ -32
d ≤ -8
9) -9 > -5 + y/6
-4 > y/6
-24 > y
10) -45 > 3 + 6g
-48 > 6g
-8 > g
For all of the graphs:
Start the point on the number that I got from the inequality.
A filled circle means:
Greater than or equal to or less than or equal depending on where the line goes.
A hallow circle means:
Greater than or less than also depending on where the line is pointed towards too.
In order to graph an inequality you have to find and simply first then graph it.
For example on number 1, K ≤ -4.
Let's graph!
As you can see I filled in the circle and started at the point, -4.
Once I did it I made it bold from -4 and there on to the left. Making -4 be greater than or equal to K.
I showed that -4 is greater than or equal to K by making the line bold behind -4, also by filling in the circle.
A friend of yours was interested in determining whether the news media noticed campus events. Your friend decided to do a content analysis of the local paper.Your friend counted each story that mentioned his university's name. At the end of two months, 136 events had been counted. Your friend asked for your comments on his research. You told your friend:
Answers
The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.
What is an inference?The options are:
He did manifest coding.
He did latent coding.
He should have recorded the base.
He did manifest coding and he should have recorded the base.
It should be noted that an inference simply means the conclusion that can be deduced based on the information given.
In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.
Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.
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You told your friend: d. he did manifest coding and he should have recorded the base.
How to determine the true statement?The missing options are:
a. he did manifest coding. b. he did latent coding.
c. he should have recorded the base.
d. he did manifest coding and he should have recorded the base.
e. he did latent coding and he should have recorded the base.
From the question, we understand that:
Each story is counted136 events were counted after 2 monthsAs a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.
Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding
Hence, the true statement is (d) he did manifest coding and he should have recorded the base.
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What is the value of a?
Answers
Answer:
9
Step-by-step explanation:
Nadine walked 1/4 miles and Janet walked 3/8 mile. Who walked farther and by how much?
Answers
Answer:
janette by .5/4
Step-by-step explanation:
3/8 -> 1.5/4
A kindergarten teacher asked the students' parents to send their child to school with two fruits (apples and/or oranges). Below are the combinations of fruits brought to class the next day.
Fruit
2 Apples : 9 students
1 Apple and 1 Orange : 4 students
2 Oranges : 8 students
What is the frequency of oranges in the classroom? Round your answer to 4 decimal places.
Answers
The frequency of oranges in the classroom can be calculated as follows:Frequency of oranges in the classroom = Total number of oranges / Total number of fruits= 16/42 = 0.3809 (rounded to 4 decimal places)Thus, the frequency of oranges in the classroom is approximately 0.3809.
To determine the frequency of oranges in the classroom, we need to calculate the proportion of students who brought oranges out of the total number of students.
First, let's calculate the total number of students:
Total students = Number of students with 2 apples + Number of students with 1 apple and 1 orange + Number of students with 2 oranges
Total students = 9 + 4 + 8 = 21
Next, let's calculate the number of students who brought oranges:
Number of students with oranges = Number of students with 1 apple and 1 orange + Number of students with 2 oranges
Number of students with oranges = 4 + 8 = 12
Finally, we can calculate the frequency of oranges:
Frequency of oranges = Number of students with oranges / Total students
Frequency of oranges = 12 / 21 ≈ 0.5714 (rounded to 4 decimal places)
Therefore, the frequency of oranges in the classroom is approximately 0.5714.
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To determine the frequency of oranges in the classroom, it is important to add up the total number of fruits brought to the classroom. The given information is as follows:
2 Apples: 9 students
1 Apple and 1 Orange: 4 students
2 Oranges: 8 students
Thus, the frequency of oranges in the classroom is approximately 0.2105.
Total number of fruits = 2(9) + 1(4) + 2(8)
= 18 + 4 + 16
= 38 fruit in total
So, total number fruits are 38.
Frequency of oranges = Number of oranges / Total number of fruits
There are 8 oranges brought to class, so the frequency of oranges is:
8 / 38 ≈ 0.2105 (rounded to 4 decimal places)
Hence, the frequency of oranges in the classroom is approximately 0.2105.
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A farmer has 180 bushels of wheat to sell at her roadside stand.She sells an average of 14 5/8 bushels each day.Represent the total change in the number of bushels she has for sale after 5 days.
Answers
A farmer has 180 bushels of wheat to sell at her roadside stand. She sells an average of 14 5/8 bushels each day.
The total change in the number of bushels she has for sale after 5 days can be represented as \(\frac{117}{8} X 5\).
Define average.
The average is defined as the mean value, which is equal to the ratio of the sum of the number of values in a given set to the total number of values present in the set.
In plain English, an average is a single number taken as representative of a list of numbers, typically the sum of the numbers divided by how many numbers are in the list. For instance, the average of the digits 2, 3, 4, 7, and 9 is 5.
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Write the equation of the circle centered at \( (4,2) \) with radius \( 10 . \)
Answers
The equation that represents the circle centered at (4, 2) with a radius of 10 is x² + y² - 8x - 4y - 80 = 0.
The equation of a circle with center coordinates (h, k) and radius r is given by:
(x - h)² + (y - k)² = r²
In this case, the center of the circle is at (4, 2), so the values of h and k are 4 and 2 respectively. The radius is 10, so we substitute these values into the equation:
(x - 4)² + (y - 2)² = 10²
This equation represents all the points (x, y) that are equidistant from the center (4, 2) with a distance of 10 units, which defines the circle.
By expanding the equation, we get:
(x - 4)(x - 4) + (y - 2)(y - 2) = 100
x² - 8x + 16 + y² - 4y + 4 = 100
x² + y² - 8x - 4y + 20 = 100
Finally, rearranging the terms, we have the equation of the circle:
x² + y² - 8x - 4y - 80 = 0
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Park city, Utah, gets 43.8 inches of rain per year. Usually 45% of that amount falls in November through February. How much rain falls in those months?
Answers
Answer= 19.71 inches
solve the quadratic equation
3x^2+x-5=0
give your answers to 2 decimal places
Answers
Answer:
x = 1.14
x = -1.47
Step-by-step explanation:
Use the quadratic formula.
x =
-b ± √b2 - 4ac /2a
1 ± 6 √61 = x
Is the relation shown in the table a function? Use the graph and justify your answer. x 2 4 8 10 y 3 2 0 –1 A coordinate grid from 0 to 9 on both axes. A. Yes. The relation is a function. The graph of the function is a straight line and has a constant rate of change. B. Yes. The relation is a function. The graph of the function is a curve. C. No. The relation is not a function. The graph of the relation does not pass through the origin. D. No. The relation is not a function. The graph of the relation is not a straight line.
Answers
Answer:
Yes; for each input there is exactly one output. 2. ANSWER: No; the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, ... Draw a graph showing the relationship between
Step-by-step explanation:
i think that is the answer
Answer: Yes, the relatoin is a function. the graph of the function is a straight line.
Step-by-step explanation: If it is a straight line it is a function.
27 is 30% of what number?
A 8585
B 9292
C 1212
D 90
Answers
Answer:
27 is 30% of what number?
D. 90
Step-by-step explanation:
You're welcome.
A traffic helicopter descended 140 meters to observe road conditions. if the original altitude was 400 meters, what was the ending altitude?
Answers
Answer: 360
Step-by-step explanation:
400 meters to start and descending 140
400-140=360
Dana wants to make cookies. The recipe calls for 2/3 cups of flour for two dozen. She only wants to make one dozen,so how much flour does she need
Answers
Answer:
1/3 c flour
Step-by-step explanation:
divide 2/3 in half because you're going from 2 dozen to 1 dozen
2/3 ÷ 2 equals 2/3 x 1/2 which equals 1/3
Which number line shows |x - 21| < 3
Answers
The line showing this inequality is B.
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality, |x - 21| < 3
Solving, the inequality,
|x - 21| < 3
x-21 < 3 and x-21 > -3
x < 24 and x > 18
Since, we get 18 < x < 24,
Hence, the line showing this inequality is B.
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Construct the probability distribution by completing and the table below. Round tp three decimal places as needed. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | p(x)| 7 | 14 | 32 | 56 | 43 | 27 | 15
Answers
The probability distribution can be constructed by dividing each value of p(x) by the sum of all p(x) values. This will give the proportion of each value in the distribution. The completed table is as follows: x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | p(x)| 0.030 | 0.061 | 0.139 | 0.243 | 0.186 | 0.117 | 0.064.
To construct the probability distribution, we need to find the probabilities for each value of x. The p(x) values given in the table represent the frequencies or counts of each value. To convert these counts into probabilities, we need to divide each p(x) value by the sum of all p(x) values.
In this case, the sum of all p(x) values is 7 + 14 + 32 + 56 + 43 + 27 + 15 = 194. To find the probability for each x value, divide each p(x) value by 194.
For example, the probability for x=0 is 7/194 ≈ 0.036. Similarly, the probability for x=1 is 14/194 ≈ 0.072, and so on.
The completed probability distribution table is as follows:
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | p(x)| 0.036 | 0.072 | 0.165 | 0.289 | 0.222 | 0.140 | 0.082.
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If 3x-7=5x, what is 6x?
Answers
Answer:
6x = - 21
Step-by-step explanation:
Given
3x - 7 = 5x ( subtract 3x from both sides )
- 7 = 2x
Then
6x = 3 × 2x = 3 × - 7 = - 21
write an equation of the line Perpendicular to the given line that contains PP(6,6)y=(2/3)x
Answers
Two lines are perpendicular if:
\(m1\cdot m2=-1\)For the line:
\(y=\frac{2}{3}x\)We can see that its slope is 2/3, so:
Let:
m1 = 2/3
Therefore:
\(\begin{gathered} \frac{2}{3}\cdot m2=-1 \\ \text{Solving for m2:} \\ m2=-\frac{1}{\frac{2}{3}}=-\frac{3}{2} \end{gathered}\)Now, we have the slope and a point P(6,6), let's use the slope point equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-6=-\frac{3}{2}(x-6) \\ y-6=-\frac{3}{2}x+9 \\ \text{Solving for y:} \\ y(x)=-\frac{3}{2}x+9+6 \\ y(x)=-\frac{3}{2}x+15 \end{gathered}\)
Out of 500 people sampled, 395 preferred Candidate A. Based on this, estimate what proportion of the voting population (p) prefers Candidate A.
Use a 90% confidence level, and give your answers as decimals, to three places.
< p
Answers
Answer:
0.79
Step-by-step explanation:
When you put 395 over 500, it comes out to 0.79, so seventy-nine percent of the voting population prefers Candidate A.