Macy wants to join a Rock-Climbing gym. Avery's gym has an initial cost of $50 with a $10 per session charge. Gabe's gym has no initial cost, but has a $12 per session charge. How many sessions will she have to take to make both gym's cost the same?​

Answers

Answer 1

Answer: 25 sessions

Step-by-step explanation:

Set up an equation.

50+10x=12x

50=2x

x=25

She will have to take 25 sessions for both gym costs to be the same.

You can check this too. 50 plus 10*25 is $300, and 12*25 is $300.

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Hope this helps.

MM4343

Answer 2

Answer: We can start by setting the cost of the two gyms equal to each other and then solving for the number of sessions. Let's call the number of sessions Macy takes x. The cost of Avery's gym is 50 + 10x, and the cost of Gabe's gym is 12x. Setting these two equal to each other, we have:

50 + 10x = 12x

Subtracting 12x from both sides:

50 = -2x + 10x

Simplifying:

50 = 8x

Dividing both sides by 8:

x = 6.25

So, Macy would need to take 6.25 sessions for the cost of both gyms to be the same. However, since she can only take whole number of sessions, she would need to take 7 sessions to make both gyms cost the same.

Step-by-step explanation:


Related Questions

if a t test yields p > 0.05 the null hypothesis would normally be: select one: a. accepted. b. rejected. c. accepted under certain conditions. d. there is not enough information for you to evaluate the findings.

Answers

if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted

The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.

The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one.  Zero means no chance and 1 means absolute certainty  

If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.

Therefore, the correct option is (A) accepted

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Solve the word problem below. Enter your answer in simplest terms, using the
slash (/) to represent the fraction bar.
You have 4/6 cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4
cup of oatmeal. How much oatmeal would you have left if you made the
cookies

Answers

Answer:

5/12

Step-by-step explanation:

4/6 - 1/4  The common denominator would be 12

8/12 - 3/12 = 5/12

Answer:

5/12

Step-by-step explanation:

mark me please

Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:

A. There are an infinite number of solutions.


B. There is no solution.


C. (1, 3)


D. (2, 3)


E. (3, 2)

Answers

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

Look at the expression and fill in the correct number in each blank.
The given expression has
term(s) with
1,500(1+1)*
factors.

Answers

The expression has 3 terms and 3 factors

What are the terms of the equation

The terms are the constant, the r term and the t term

The factors that are in the equation are 1500, 1 and 12

What is an exponential equation?

An exponential equation is an equation that involves an exponential function, which has the form f(x) = a^x, where "a" is a constant base and "x" is the exponent. Exponential equations are used to model phenomena that grow or decay at a constant relative rate. The solutions to exponential equations can be found by manipulating the equation algebraically to isolate the variable in the exponent, taking logarithms of both sides, or by using exponential rules such as the power rule or the product rule.

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Sarah charges $12 an hour when she
babysits. She also charges a non-refundabl
$5 fee just for showing up. What equation
could be used to represent the relationship
between x, the number of hours she
babysits, and y, the amount of money she
makes? jo

Answers

The equation which correctly shows the relationship between x, number of hours and y, the amount of money she makes is; y = 12x + 7.

What is the relationship between x and y as described?

It follows from the task content that the relationship between y and x is to be.

By comparison with the slope-intercept equation; y = mx + c.

Since, slope, m is the rate of change; m = 12$ per hour.

Also, the nonrefundable one-time fee for showing up represents the y-intercept, c.

Therefore, the required equation is;

y = 12x + 5.

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what's the rate of change of -7≤x≤-2

Answers

Answer:

4

Step-by-step explanation:

Rate of change forumla

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We have our X points, -7 and -2. Now to find the Y value at those places.

For -7, Y is 5

For -2, Y is 25

Now we plug this into the equation

[tex] = \frac{25 - 5}{ - 2 - ( - 7)} = \frac{20}{5} = 4[/tex]



Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X.


X 0 1 2 3 4 or more

probability 0. 58 0. 23 0. 11 0. 05 0. 03

If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F.


(a) Construct the probability distribution of the random variable Y.


(b) Determine the mean and standard deviation of Y. Show your work.


Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0. 40 and 0. 66, respectively. The fat quarters sell for $5. 00 each but are discounted by $1. 50 for each defect found.


(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company G?

Answers

The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99

a) x = number of defects on a fat quarter

to be sold, X must be, X ≤ 2

y = number of defects on the sellable fat quarter,

now from the table, P [fat quarter being sellable]

=P [X ≤ 2]

=0.58 + 0.23 + 0.11

= 0.92

Therefore, P[y-0] = P[x=0Ix≤2]

=[tex]\frac{P[x=0][x < 2]}{P[x < 2]}[/tex]

=P[y=0] = 0.63

P[y=1] = P[x=1Ix≤2]

P[y=1] = [tex]\frac{0.23}{0.92}[/tex]

=0.25

P[y=2] = P[x=2Ix≤2]

P[y=2] = [tex]\frac{0.11}{0.92}[/tex]

= 0.12

y------------------0--------1---------2

probability---0.63----0.25----0.12

b)mean of y = E(y)

=0²×0.063+1×0.25+2×0.12

=0.25+0.24

=0.49

now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12

=0.25+0.48

=0.73

E(y²) - [E(y)]²

=0.73-0.49²

=0.4899

std deviation of y = 0.6999

c) now that we have E(G) = 0.40, √v(G) = 0.66

let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)

therefore = 5-1.5×0.4

=5-0.6

=$4.4 is the mean selling price.

now for the standard deviation price = v[5-1.5G]

=v(5)+1.5² v(G)

=0+2.25×0.66²

=v(s)= 0.9801

standard deviation of sp =√v(s)

=$0.99

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Pls show your work thank you will mark the Brainliest

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

According to graph, the value of p(x) = 8, when x = -2, as this point lies on the curve ~

Now, put the value of x in each of the choices provided to check if its equal to 8.

[tex]\qquad \sf  \dashrightarrow \: p( x) = (0.35) {}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = (0.35) {}^{ - 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = \dfrac{1}{(0.35 ){}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = \dfrac{1}{0.1225} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) = 8.1632[/tex]

[tex]\qquad \sf  \dashrightarrow \: p( - 2) \approx 8[/tex]

Since the value satisfy the first equation, the correct choice will be (A)

if you generate multiple datasets from a distribution with a given mean and variance, the mean and variance that you calculate from the generated data will always be the exact same as the original?

Answers

If we generate the multiple datasets from a distribution with a given mean and variance , then mean and variance of from generated data will not be same .

The sample mean and the variance are random variables that vary from sample to sample, even if the samples are drawn from the same population.

When we generate a sample from a distribution with a known mean and variance, the sample mean and variance will be estimates of the population mean and variance ;

So , because of sampling variability, the estimates obtained from different samples may differ from one another and from the true population parameters.

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A football coach is trying to decide what team is ahead lay in the girl with strategies better play the regular Defense play a prevent DFS the guards or against lol games, but make sure Gaines easier the coach of use the outcome of 100 games

Answers

The greater probability is the probability of winning through the use of regular defense.

How to solve for the probability

If out of the 100 games that were reviewed, the defense games were 50 and the prevent defense games were 50 as well

Out of the regular 50, there are 38 wins and then 12 loses. Out of the prevent games, there 29 wins and 21 loses.

The probability to win by regular is 38 / 50 = 0.76

the probability to win by prevent defense is 29 / 50 = 0.58

0.76 is greater than 0.58 hence the decision would be to win the game by playing the regular defense.

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A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?

Play the "regular" defense.

Play a "prevent" defense that guards against long gains but makes short gains easier.

The coach reviews the outcomes of 100 games.

Compare the probability of winning when playing regular defense with the probability of winning when playing prevents defense. Draw a conclusion based on your results.

anyone knows the answer for this?

Answers

The blank in the statement should be filled in with "ΔVYZ." which is proven by the definition of congruence.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbolΔ.

Since S, T, and U are midpoints in ΔVYZ, it follows that:

ST is a median of ΔVYZ, meaning it bisects the side VZ into two equal parts.

TU is a median of ΔVYZ, meaning it bisects the side VY into two equal parts.

SV is a median of ΔVYZ, meaning it bisects the side YZ into two equal parts.

Using the definition of congruence, two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in measure. Since medians bisect their corresponding sides, it follows that all three pairs of corresponding sides in ΔYST, ΔTUZ, and ΔSVU are equal in length.

Furthermore, since the medians divide the triangle into two smaller triangles that are similar to the original triangle, it follows that the corresponding angles in ΔYST, ΔTUZ, and ΔSVU are equal in measure.

Therefore, ΔYST ≅ ΔTUZ ≅ ΔSVU ≅ ΔVYZ.

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What is the area of this figure?

Answers

The area of the figure is given as follows:

100.56 mm².

How to obtain the area of the figure?

The figure in this problem is composed as follows:

Rectangle of dimensions 4 mm and 12 mm.Rectangle of dimensions 2 mm and 7 mm.Rectangle of dimensions 4 mm and 12 - 7 = 5 mm.Rectangle of dimensions 3 mm and 2 mm.Semicircle of radius 2 mm.

The areas for each region are given as follows:

Rectangle of dimensions 4 mm and 12 mm -> 4 x 12 = 48 mm²Rectangle of dimensions 2 mm and 7 mm -> 2 x 7 = 14 mm².Rectangle of dimensions 4 mm and 12 - 7 = 5 mm -> 4 x 5 = 20 mm².Rectangle of dimensions 3 mm and 2 mm -> 3 x 2 = 6 mm².Semicircle of radius 2 mm -> 3.14 x 2² = 12.56 mm².

Hence the total area is of:

48 + 14 + 20 + 6 + 12.56 = 100.56 mm².

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Rewrite 26/9 as a mixed number. help me

Answers

The required mixed number of 26/9 is given as  2 8/9.

What is a mixed number?

A mixed number is a number that consists of a whole number and a proper fraction. It is written in the form "a b/c", where "a" is the whole number, "b" is the numerator of the proper fraction, and "c" is the denominator of the proper fraction.

Here,
To rewrite 26/9 as a mixed number, we need to divide the numerator (26) by the denominator (9) and express the result as a whole number and a proper fraction.

26 ÷ 9 = 2 with a remainder of 8

The whole number part is 2, and the proper fraction part is 8/9, since 8 is the remainder and 9 is the denominator.

Therefore, 26/9 as a mixed number is 2 8/9.

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Select the correct answer.
If f(x) = 3x+2 and g(x) = 2x - 2. what is (f- g)(x)?
OA. X+4
OB. X-2
OC. X
OD. 5x-2
O E.
X-4

Answers

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1

= 3x + 2 - 2x + 2 ← collect like terms

= x + 4

There are 250 people in a museum
2/5 of the 50 peoples are girls
3/10 of the 50 people are boys
The rest of the 250 people are adults
Work out the number of adults in museum

Answers

The number of adults in the museum, using the fractional value of girls and boys, is 75.

What is a fractional value?

A fractional value refers to a portion of the total value.

A fractional value can be depicted in fractions, decimals, or percentages.

A fractional value can also be represented as a ratio or proportion.

In this situation, the fractional number of adults is determined using subtraction.

The total number of people in a museum = 250

The fraction of girls in the museum = 2/5

2/5 of 250 = 100 girls

The fraction of boys in the museum = 3/10

3/10 of 250 = 75

Alternatively:

2/5 + 3/10 = 7/10

7/10 of 250 = 175

Therefore, the number of adults = 75 [250 - (100 + 75)]

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Complete Question:

There are 250 people in the museum.

2/5 of the 250 people are girls.

3/10 out of the 250 people are boys.

The rest of the 250 people are adults.

Work out the number of adults in the museum.

Today a typical family of four spends $897. 20/ month for food. If inflation occurs at the rate of 4%/ year over the next 9 years, how much should the typical family of four expect to spend for food 9 years from now?

Answers

In 9 years, assuming a 4% annual inflation rate, a typical family of four should budget $1254.77 a month for food.

In order to determine how much a normal family of four should budget for food in 9 years, we must take inflation into consideration.

To account for inflation, we can use the formula below to determine the future worth of the current food expenditures:

Future value = Present value * (1 + inflation rate)^n

where:

Present value = $897.20/month

Inflation rate = 4% per year

n = number of years

When we substitute the specified values, we get:

Future value = $897.20 * [tex](1 + 0.04)^9[/tex]

= $897.20 * 1.3981

= $1254.77 (to two decimal places in rounding)

Therefore, In 9 years, assuming a 4% annual inflation rate, a typical family of four should budget $1254.77 a month for food.

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we need to survey a random sample of the 300 passengers on a flight from san francisco to tokyo. you randomly select a seat position (right window, right center, right aisle, etc.) and survey all the passengers sitting in those seats. what sampling technique best describes the process here?

Answers

The sampling technique best described here is systematic sampling. Systematic sampling is a type of probability sampling in which the elements in the population are selected in a systematic way

This sampling technique is used when the population size is too large to survey the entire population. In this example, the population size is 300 passengers and the sampling interval is determined by dividing the population size by the sample size. For example, if the sample size is 30, the sampling interval is[tex]10 (300/30=10).[/tex] This means that every 10th passenger is randomly selected for the survey. The selection starts with a randomly chosen passenger and then the ninth passenger after that is selected and so on. The formula for Systematic sampling is n = N/n, where N is the population size and n is the sample size.

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PQRS is a trapezium, and AB ∥ PS ∥QR. If PA = 3 cm, AQ = 1.4 cm, BR = 2.1 cm,
then SB =

Answers

Answer:

In trapezium PQRS, AB is parallel to PS and PS is parallel to QR. Since we know the lengths of PA, AQ, and BR, we can calculate the length of SB as follows:

SB = PA + BR - AQ = 3 + 2.1 - 1.4 = 3.7 cm

Find a vector equation and parametric equations for the line segment that joins P to Q.
P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )
vector equation r(t)
parametric equations x(t), y(t), z(t)

Answers

The vector equation for a line segment that joins two points P and Q can be found by subtracting the position vectors of P and Q and representing the result as a vector from P.

The position vector of point P is given by [0, -4, 4] and the position vector of point Q is given by [1/2, 1/3, 1/4]. So, the direction vector of the line segment is found by subtracting the position vectors:

d = Q - P = [1/2, 1/3, 1/4] - [0, -4, 4] = [1/2, 5/3, -3/4]

The vector equation of the line segment can be written as:

r(t) = P + t * d = [0, -4, 4] + t * [1/2, 5/3, -3/4] = [t/2, -4 + 5t/3, 4 - 3t/4]

where t is a scalar parameter that varies from 0 to 1 to give the points on the line segment between P and Q.

The parametric equations of the line segment are:

x(t) = t/2

y(t) = -4 + 5t/3

z(t) = 4 - 3t/4

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Find a vector equation and parametric equations for the line segment that joins P to Q?

P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )

vector equation r(t)

parametric equations x(t), y(t), z(t)

What is the graph of the following function? Click on the graph until the correct one appears.
g(x) = {<1}X-2, X21-4x+3, x < 1
Pls i need help !!!

Answers

The graph of the piecewise function is given by the image presented at the end of the answer.

How to graph the piecewise function?

A piecewise function is a function that has multiple definitions, according to it's input values.

The two definitions for this problem are given as follows:

Until x = 1.Right of x = 1.

For the values until x = 1, we have an increasing linear function, with intercept of y = -2, and finishes at the point (1,-1).

For the values greater than x = 1, the function is a linear function, starting at the point (1,-1), and decaying.

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If the scale factor of figure A to figure B is 3:8 find the value of x

Answers

If the scale factor of figure A to figure B is 3:8, the value of x is 9.

We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -

3/8 = x/24

Applying the cross-multiplication rule, we get,

3 * 24 = 8 * x

Further solving for the value of x, we get,

x = (3 * 24) / 8

x = 9

Hence, the value of x is 9.

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The complete question is -

If the scale factor of figure A to figure B is 3:8 find the value of x.

In the figure below, find mzABC.
B
D
m/ABC=

Answers

The measure of angle ABC from the given circle D is 34°.

What is angles in the same segment theorem?

The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Given that, circle with the center D and measure of arc AC is 34°.

The measure of arc = m∠ABC

m∠ABC =34°

Therefore, the measure of m∠ABC is 34°.

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which expressions will have a positive answer? assume all variables represent numbers larger than zero (select all that apply)

Answers

Answer:

bro do u have a pic i will give u your points back but i need a pic to help

Step-by-step explanation:

there are 30 people in a classroom. ignoring the potential of a leap-year birthday (so 365 days), what is the probability that at least one pair of people have the same birthday?

Answers

The probability that at least one pair of people have the same birthday, with 30 people in a classroom is approximately 0.7063.

To solve this problem, we can use the concept of the complement of an event. The complement of the event "at least one pair of people have the same birthday" is the event "no pair of people have the same birthday." So, we can find the probability of this complement event and subtract it from 1 to get the probability of the original event.

The probability that the first person has a unique birthday is 1, since there are no other people in the room yet. The probability that the second person also has a unique birthday is (364/365), since there are 364 remaining days in the year that they could be born on.

Similarly, the probability that the third person has a unique birthday is (363/365), and so on, down to the 30th person, whose probability of having a unique birthday is (336/365).

To find the probability that no pair of people have the same birthday, we can multiply these probabilities together:

P(no pair share a birthday) = 1 * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

Therefore, the probability that at least one pair of people have the same birthday is:

P(at least one pair share a birthday) = 1 - P(no pair share a birthday) ≈ 1 - 0.2937 = 0.7063

So the probability that at least one pair of people have the same birthday is approximately 0.7063, which is quite high. This is known as the birthday problem or birthday paradox.

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4 Bob makes dry concrete by mixing cement, sand and stone in the ratio 1:2:3 by weight.
He buys the cement, sand and stone in bags as shown in this table.
Cement
Sand
Stone
Weight of bag
(kg)
25
20
15
Cost per bag
(£)
5.50
2.00
3.90
ratios
He packs the dry concrete into 30 kg bags.
Bob buys just enough cement, sand and stone to make 50 bags of dry concrete.
(a) Show that Bob buys 500 kg of sand.

Answers

Bob needs to buy 500 kg of sand.

What is the ratio?

A ratio is a quantitative relationship between two numbers, quantities, or values that expresses how many times one is contained in the other. Ratios are typically expressed in the form of "a to b" or "a:b" and can be represented as fractions or decimals.

Since the ratio of cement to sand to stone is 1:2:3 by weight, the total weight of the ingredients needed to make one bag of dry concrete is:

Cement: 1/6 of 30 kg = 5 kg

Sand: 2/6 of 30 kg = 10 kg

Stone: 3/6 of 30 kg = 15 kg

To make 50 bags of dry concrete, Bob will need 50 times these amounts:

Cement: 5 kg x 50 = 250 kg

Sand: 10 kg x 50 = 500 kg

Stone: 15 kg x 50 = 750 kg

Hence, Bob needs to buy 500 kg of sand.

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What is the percent of change from 90 to 18?
* 80% increase
*80% decrease
*75% decrease
*75% increase
*25% increase

Answers

The percent of change is the change in value in percent from 90 to 18 that is an 80% decrease.

To calculate the percent change from 90 to 18, we first need to find the difference between the two values:

Change = Final Value - Initial Value

Change = 18 - 90

Change = -72

The negative sign indicates that there has been a decrease in value.

To find the percent change, we can use the following formula:

Percent Change = (Change / Initial Value) x 100%

Percent Change = (-72 / 90) x 100%

Percent Change = -80%

So there is decrease in percent from 90 to 18 that is by 80%.

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You are building a ramp that must cover a horizontal distance of
exactly 13 feet. The angle of the ramp from the ground is 8°.
Determine the length of the ramp, in feet. Round to two decimal
places as needed.

Answers

The length of the ramp that must cover the horizontal distance is 13.13 feet.

What is the length of the ramp, in feet ?

Given the data in the question, this forms a right-triangle.

Angle θ = 8°Adjacent of angle θ = 13ftLength of the ramp = hypotenuse = ?

To solve for the length of the ramp, we use  trigonometric ratio

Cosine = Adjacent / Hypotenuse

Plug in the values

cos( 8° ) = 13ft / hypotenuse

Hypotenuse = 13ft / cos( 8° )

Hypotenuse = 13.13 ft

Therefore, the ramp's length is 13.13 ft.

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A system of equations is shown.
y=x+1
x-2y=-4
Which represents the solution of this system?
O(-2, -3)
O(-2, 3)
(2, -3)
(2, 3)

Answers

The solution for the last problem is get rid of a negative

Someone quick help me with this please?

Answers

Answer:

Not equal and Congruent should be your answers

What is the area of this compound figure? PLEASE HELP

Answers

The area of the composite figure is equal to 254 m² square metres.

How to calculate for the area of the figure

The composite figure can be observed to be a vertical rectangle, a square and an horizontal rectangle, so we shall calculate for the areas of the three figures and then add the result to get the total area of the composite figure as follows:

area of the vertical rectangle = 19 m × 7 m

area of the vertical rectangle = 133 m²

area of the square = 5 m × 5 m

area of the square = 25 m²

area of the horizontal rectangle = 16 m × 6 m

area of the horizontal rectangle = 96 m²

total area of the composite figure = 133 m² + 25 m² + 96 m²

total area of the composite figure = 254 m²

Therefore, the area of the composite figure is equal to 254 m² square metres.

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