The real-life scenarios below represent the importance of using basic arithmetic and algebra to solve real-world quantitative problems.
Choosing a gym membership that fits my budget and lifestyle.
Gym A has a monthly payment of $50.
Gym B has a cost of $10 per visit.
Explain how you would calculate the result. You can infer and add any additional details you feel you might need to create the calculation.
Answers
To determine which gym membership is more cost-effective, you would need to compare the total cost for a given period. Let's consider a time frame of one month.
For Gym A, the monthly payment is $50. This means that regardless of how many times you visit the gym, you will pay a fixed amount of $50 each month.
For Gym B, the cost is $10 per visit. To calculate the total cost for a month, you need to estimate the number of times you plan to visit the gym in that period. Let's assume you plan to visit the gym 10 times in a month.
The total cost for Gym B would then be calculated as:
Total Cost for Gym B = Number of Visits * Cost per Visit
Total Cost for Gym B = 10 visits * $10 per visit
Total Cost for Gym B = $100
Comparing the total costs, we find that for Gym A, the monthly payment is $50, and for Gym B, the estimated cost for 10 visits is $100. In this case, Gym A would be the more cost-effective option if you plan to visit the gym at least 10 times in a month. However, if you anticipate visiting the gym less than 10 times in a month, Gym B might be the more affordable choice.
By using basic arithmetic to calculate the total costs based on the given pricing structures, you can make an informed decision regarding the gym membership that fits your budget and lifestyle.
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Related Questions
If point A (-5, 9) is reflected across the x-axis, what will be the new coordinates of the image, A'?
please help! I am in the middle of a test! I am offering 30 points.
Answers
The new coordinates of the image A' will be (-5, -9).
Here, we are given a point on the cartesian plane- A (-5, 9)
It is reflected along the x axis to form a new point A'
Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.
Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.
In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).
Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.
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what is 0.5^2+(3/5)
please enter your answer below
Answers
Answer:
.85 or 17/20
Step-by-step explanation:
just use a calculator to solve
is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.
Answers
Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
To determine if the integer k is divisible by 4, let's analyze the given statements:
Statement (1): 8k is divisible by 16.
This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.
8k = 16
k = 2
b)
This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.
9k = 12
k = 12/9
k = 4/3
So , it is not an integer
In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.
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5/10= b/100 what is the answer to z
Answers
Answer:
B = 50
Step-by-step explanation:
\(\frac{5}{10} =\frac{b}{100}\) do butterfly multiplication
\(5*100=500\)
\(10*b=10b\)
\(\frac{10b}{10}=\frac{500}{10}\)
B = 50
patients scheduled to see their primary care physician at a particular hospital wait, on average, an additional ten minutes after their appointment is scheduled to start. assume the time that patients wait is exponentially distributed. what is the probability a randomly selected patient will see the doctor within fourteen minutes of the scheduled time?
Answers
Therefore , the solution of the given problem of probability comes out to be 59.3% chance that an arbitrarily chosen patient will see the doctor within 14 minutes of the appointment time.
What precisely is probability?The determination of the likelihood that an assertion is accurate or that a particular event will occur is the main objective of the systems within the process known as criteria. Chance can be represented by any number between 0 and 1, where 0 is frequently used to indicate that it's possible and 1 is frequently used to signify a degree of confidence. A probability diagram shows the likelihood that a particular occurrence will occur.
Here,
With a mean of 10 minutes and an exponential distribution, X has the following probability density function:
=> For x >= 0, f(x) = (1/10) * e(-x/10).
The likelihood that an arbitrarily chosen patient will see the doctor within 14 minutes of the appointment time is what we are trying to determine. This can be stated as follows:
=> P(X <= 14)
Integrate the density function from 0 to 14 to discover this probability:
=> P(X = 14) = e(-x/10) * [0,14] (1/10)
=> P(X = 14) = 0 1.4 e (-u) du
The integral's evaluation yields:
=> P(X <= 14) = [\(-e^{-u}\)] between 0 and 1.4
=> P(X <= 14) = -e⁻¹⁴ + 1
=> P(X <= 14) ≈ 0.593
This means that there is a 59.3% chance that an arbitrarily chosen patient will see the doctor within 14 minutes of the appointment time.
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What is the price of an article costing
Rs 1300 after levying 13 value Added Tax
find it
SP-?
CP-1300
VAT% - 13%
Answers
Answer: Rs 1469
Step-by-step explanation:
Coat of item = RS 1300
Value added tax = 13%
The price of the item will then be calculated as:
= 1300 + (1300 × 13%)
= 1300 + (1300 × 0.13)
= 1300 + 169
= Rs 1469
there are 0.97 grams of salt in a container and nayan uses 0.56 grams
Answers
Answer:
Hey, what is the question for this problem. Is it asking how much salt is left after nayan uses some of it?
if so, the answer is .41 grams of salt
Step-by-step explanation:
.97 grams (total) minus .56 grams( what is used)
is equal to .41 grams
Answer:
0.41
Step-by-step explanation:
0.97-0.56=0.41 because she used 0.56 so subtract it from the total number
Choose an expression that is equivalent to (-2)^4/(-2)^2. out of these
Answers
The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
How to determine the expression that is equivalent to (-2)^4/(-2)^2?The expression is given as:
(-2)^4/(-2)^2
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^(4 -2)
4 - 2 has the same value as 6 - 4
So, we have:
(-2)^4/(-2)^2 = (-2)^(6-4)
Apply the law of indices
(-2)^4/(-2)^2 = (-2)^6/(-2)^4
Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4
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-10
5
What is the y-intercept?
-5
10
10
0
5
X
10
Answers
The y-intercept of the graph of this line is equal to 1.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).
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If PT=u and QS=u–28, what is the value of u?
Answers
Answer:
u = 56
Step-by-step explanation:
the midsegment QS is half the length of the third side PT , that is
QS = \(\frac{1}{2}\) PT ( substitute values )
u - 28 = \(\frac{1}{2}\) u ( multiply through by 2 to clear the fraction )
2u - 56 = u ( subtract u from both sides )
u - 56 = 0 ( add 56 to both sides )
u = 56
What is the probability of 3 people sharing the same birthdays? How many different pairs of people are there when there are three humans? (Think nPr or nCr)
Answers
The probability of three people sharing the same birthdays is approximately \(0.0000075\) or \(0.00075\)%, and there are three different pairs of people when there are three humans.
The probability of three people sharing the same birthday depends on the assumptions made about the distribution of birthdays. Assuming that birthdays are uniformly distributed throughout the year and that leap years are not considered, there are \(365\) possible birthdays for each person. The first person can have any birthday, and the probability that the second person shares the same birthday is \($\frac{1}{365}$\). Similarly, the probability that the third person shares the same birthday as the first two is also \($\frac{1}{365}$\). Multiplying these probabilities together, we get \($\left(\frac{1}{365}\right) \times \left(\frac{1}{365}\right) = \frac{1}{133,225}$\), approximately \(0.0000075\) or \(0.00075\%\).When there are three humans, the number of different pairs of people can be calculated using the combination formula, also known as \($\binom{n}{r}$\). In this case, \($n$\) represents the total number of people (\(3\)), and \($r$\) represents the number of people chosen at a time (\(2\) for pairs). Applying the formula, we have \($\binom{3}{2} = 3$\). Therefore, there are three different pairs of people when there are three humans: (\(1,2\)), (\(1,3\)), and (\(2,3\)).In conclusion, the probability of three people sharing the same birthdays is extremely low (approximately \(0.0000075 \ or \ 0.00075\%\)), and when there are three humans, there exist three different pairs of people.
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what is the z score for a soda that costs $1.15 if the population of soda prices has a normal distribution with a mean of $1.00 and a standard deviation of $0.25?
Answers
We need to know about z-score to solve the problem. The z-score of the soda is 0.6
A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.
z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6
Therefore the z-score of the soda is 0.6
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if y = x^2 - 2 what is the value of y when x=3
Answers
Answer: y = 7
Step-by-step explanation: 3^2 is 9 and 9 - 2 is 7.
Juan divided 1/2 jar of fish food into 7 equal parts. He feeds his fish one part each day.
What fraction of the jar of food will Juan feed his fish each day?
Enter your answer as a fraction in simplest form by filling in the boxes.
|__|
|__| of the jar
Answers
Answer:
1/14
Step-by-step explanation:
He divides 1/2 of the jar into sevenths, but if he had the whole jar it would be fourteen parts because 2x7=14, or 14÷2=7
The fraction of the jar of food will Juan feed his fish each day is 1/14.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Juan divided 1/2 jar of fish food into 7 equal parts.
So, fraction of the jar of food will Juan feed his fish each day
= 1/2÷7
= 1/(2 x 7)
= 1/14
Hence, fraction of the jar of food will Juan feed his fish each day is 1/14.
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Abble is going out for pizza with her friends. For $60 total, they can buy p pizzas. Each
pizza costs $12.
P
Answers
Answer:
Step-by-step explanation:
if Abble buy pizzas for 60 dollars
60/12=5
he can buy 5 pizzas
p=5
What is the slope of the line on the graph below?
On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).
One-fifth
One-third
3
5
Answers
Answer:
B. One-third
Step-by-step explanation:
First choose two of the points given.
(0,-5) and (3,-4)
Use slope formula.
\(\frac{y2-y1}{x2-x1}\)
\(\frac{-4+5}{3-0}=\frac{1}{3}\)
Hope this helps!
If not, I am sorry.
Answer:
b. 1/3
Step-by-step explanation:
flash = best show
In a certain country, customers are charged a flat fee of $55.50 for up to 50 local calls. customers pay $0.35 per call for each call above this limit. And a customer used $87.00 of local calls what is the number of local calls made?
Answers
we have that
the equation that represents this situation is
87.00=55.50+0.35x
where
x is the number of local calls made above 50
solve for x
0.35x=87-55.50
0.35x=31.50
x=90
therefore
the total of local calls is equal to
90+50=140
the answer is 140 callsA, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answers
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
when graphing two variables, if the line slopes upward as you move from left to right then the variables exhibit a positive relationship. true or false
Answers
Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.
Do upward-sloping lines indicate a positive relationship between variables?As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.
But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.
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Marcus sorts his 85 baseballs cards into stacks of 9 each. How many stacks of 9 cards can marcus make
Answers
Answer:
He can only make 9
Step-by-step explanation:
He will have 4 cards left over so it will not be enough to make another stack.
Answer:
9.44444444444 rounded to 9.5
Step-by-step explanation:
maths
Select from the drop-down menu to create a statistical question Dan could ask his friends in a survey.
What is blank
the blank has 4 answers
1. George's Favorite food?
2. the color of a lemon?
3. The capital of Spain?
4. Your favorite food?
Which one is correct?
Answers
"Yοur favοrite fοοd?" is correct
What is Statistics?Statistics is a branch οf mathematics that deals with the cοllectiοn, analysis, interpretatiοn, presentatiοn, and οrganizatiοn οf data. It invοlves making decisiοns based οn data, and is widely used in variοus fields such as science, business, and sοcial sciences.
The cοrrect answer is "Yοur favοrite fοοd?" This is a statistical questiοn because it is οpen-ended and allοws fοr a variety οf respοnses frοm different individuals. Statistical questiοns typically invοlve cοllecting and analysing data, and are usually framed in a way that allοws fοr different answers οr οutcοmes.
In this case, Dan is asking his friends abοut their favοrite fοοd, which cοuld lead tο a variety οf respοnses that Dan cοuld then analyse tο draw cοnclusiοns οr insights. The οther οptiοns listed are nοt statistical questiοns because they are either clοsed-ended (Geοrge's Favοrite fοοd?), factual (the cοlοr οf a lemοn?), οr nοt related tο cοllecting data (The capital οf Spain?).
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a student takes five measurements of length with a centimeter ruler. write the measured value with uncertainty using the center value with error method. 21.4 cm; 23.8 cm; 19.3 cm; 19.4 cm; 23.9 cm
Answers
Using the center value with error method, the measured value with uncertainty can be written as:
21.4 ± 2.2 cm (center value: 21.4 cm, error: ±2.2 cm)
23.8 ± 2.2 cm (center value: 23.8 cm, error: ±2.2 cm)
19.3 ± 2.2 cm (center value: 19.3 cm, error: ±2.2 cm)
19.4 ± 2.2 cm (center value: 19.4 cm, error: ±2.2 cm)
23.9 ± 2.2 cm (center value: 23.9 cm, error: ±2.2 cm)
This means that the true value of the length measurement is expected to fall within the range of the measured value ± the error, with a level of confidence determined by the size of the error.
The center value with error method is a way to estimate the uncertainty of a measurement based on a set of repeated measurements. The central value is the average of the measurements, and the error is estimated as half of the range of the measurements.
In this case, the student took five measurements of length with a centimeter ruler, and the measurements were 21.4 cm, 23.8 cm, 19.3 cm, 19.4 cm, and 23.9 cm. The central value is the average of the measurements:
Central value = (21.4 + 23.8 + 19.3 + 19.4 + 23.9) / 5 = 21.96 cm
The range of the measurements is the difference between the largest and smallest measurement:
Range = 23.9 cm - 19.3 cm = 4.6 cm
The error is estimated as half of the range:
Error = 4.6 cm / 2 = 2.3 cm
Therefore, the measured value with uncertainty using the center value with error method is:
Measured value = 21.96 ± 2.3 cm
This means that the true value of the length is likely to be between 19.66 cm and 24.26 cm, with a best estimate of 21.96 cm.
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Q15.
The distance between two villages on a map measures 6.2 centimetres.
The map has a scale 1:25000
What is the actual distance between the two villages in kilometres?
Give your answer to 2 decimal places.
Answers
Answer:
155,000
Step-by-step explanation:
(1):(25000) = (6.2):(155000)
Chow,...!
7 cakes cost £5.60. How much do 10 cakes cost?
Answers
Answer:
7:5.6
10:x
5.6 x 10= 7 x x
56=7x
x= 56/7
x=8
so cost 8 pounds
Step-by-step explanation:
Find The Slope Of The Tangent Line To The Curve Y=(X^2−35)^7 At X=6. Then Write The Equation Of This Tangent Line.
Answers
The equation of the tangent line to the curve `y = (x² − 35)⁷` at `x = 6` is `y = 84x − 503`.
We need to determine the slope of the tangent line to the curve `y = (x² − 35)⁷` at `x = 6`. Then, we need to write the equation of this tangent line.
Slope of tangent line: To determine the slope of the tangent line, we first differentiate `y = (x² − 35)⁷` with respect to `x`.
Using the chain rule, we get: `dy/dx = 7(x² − 35)⁶(2x)`
At `x = 6`, the slope of the tangent line is given by `dy/dx` evaluated at `x = 6`.
Substituting `x = 6` into the expression above, we get: `dy/dx = 7(6²− 35)⁶(2 × 6) = 7(1)⁶(12) = 84`
Therefore, the slope of the tangent line to the curve `y = (x^2 − 35)^7` at `x = 6` is `84`.
Equation of tangent line: To write the equation of the tangent line, we first need the point on the curve at `x = 6`.
Substituting `x = 6` into `y = (x²− 35)⁷`, we get: `y = (6² − 35)⁷ = 1`
Therefore, the point on the curve at `x = 6` is `(6, 1)`.
Using the point-slope form of a line, the equation of the tangent line is given by: `y − y1 = m(x − x1)`
where `m` is the slope of the tangent line, and `(x1, y1)` is the point on the curve at `x = 6`.
Substituting the values of `m`, `x1`, and `y1` into the equation above, we get: `y − 1 = 84(x − 6)`
Simplifying this equation, we get: `y = 84x − 503`
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is 1/2 and 5/10 proportional?
Answers
Step-by-step explanation:
Yes
it is
If you take it to its smallest numbers it would be 1/2
PLEASE ANSWER CORRECTLY FOR BRAINLIEST:
25.
26.
27.
29.
Answers
Answer:
x = 6
Step-by-step explanation:
5 (x - 3) + 2 = 5 (2x - 8) - 3
remove the parenteses
5x - 15 + 2 = 10x - 40 - 3
calculate5x - 13 = 10x - 43
move the terms5x - 10x = -43 + 13
collect like terms calculate-5x = -30
divide both sidesSolution
x = 6
Which graph represents the function f (x) = 3 times 5 to the second power?
Answers
60 minutes is what percentage of 1 hour?
Answers
Answer:
100%
Step-by-step explanation:
Answer: 100 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Alex lost 36 pounds in 8 weeks on his new weight loss plan. What was his average change in weight per week?
Answers
Answer:
4.5
Step-by-step explanation:
first you divide 36 from 8
then to check if its right then do 4.5 times 8