At Silver Gym, membership is $30 per month, and personal training sessions are $35 each. At Fit Factor, membership is $60 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer 1

Answer:   5 personal training sessions

Step-by-step explanation:

Given only 1 month, then set the 2 equations equal to each other, given that x=# of personal training sessions:

    25+45x = 75 + 35x

    -25-35x    -25-35x

    So, 10x=50; divide both sides by 10, to get:

           5, so, 5 personal training sessions per month to make the 2 costs equal to one another.


Related Questions

Please help me

10 points

Answers

Answer:

113.04cm^2

Step-by-step explanation:

The area of a circle is pi * r^2

pi=3.14

So 6^2 is 36

36*3.14=113.04

Hope it helps!

A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies

Answers

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2

Answers

Answer:

1,090

Step-by-step explanation:

What is 8,838 rounded to the nearest ten

Answers

Answer:

8840

Step-by-step explanation:

Answer:

8,840

Step-by-step explanation:

Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum

Answers

Answer:

B. At most

Gives a maximum that it can be.

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17

Answers

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.

Answers

Don’t even know to be honest

A triangle with exactly two sides of the same length is called

Answers

Answer:

isosceles

Step-by-step explanation:

isosceles

Write an equation of the line that passes through (3,1) and (0,10) .

Answers

Answer:

(1,1) and (0,1)

Step-by-step explanation:

i think thats it i dont know what it looks like i need a picture of it

If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3​

Answers

Answer:

1/4

Step-by-step explanation:

Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entries

Sample Space

{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4

surface area.... again

Answers

Answer:

1848 square inches

Step-by-step explanation:

surface area is the combined area of all the outside surfaces.

area of triangle is base x height / 2

There are two, so no need to divide

18 x 12 = 216

Area of rectangle is base x height

15 x 34 + 15 x 34 + 18 x 34 = 1632

Then add

216 + 1632 = 1848

1848 there is no explanation

How are the roots of a quadratic equation and the zeroes of a quadratic relation related? ​

Answers

The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

What do represent the roots of a quadratic equation?

Polynomials are algebraic entities that satisfy the following condition:

[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex]   (1)

Where:

x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th Root

If we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.

[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex]   (2)

Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.

Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].

To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436

a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?​

Answers

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

A die has 6 sides. A coin has two.

The probability of rolling a 5 on the die is 1/6.

The probability of getting tails is 1/2.

To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.

The probability of rolling a 5 and getting tails is 1/12.

The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?

Answers

Answer: 1680

Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.

The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.

Answers

Answer:

y=-5x-2

Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2

Hope it helps.

Do comment if you have any query.

if a number is added by 2 the answer is10 find the number

Answers

8

Explanation:
Just do the reverse of addition. 10-2=8

please help me!!!!!!!​

Answers

I'll do part 1 to get you started

================================================

Answers:

D) 90, 45, 45A) centroidB) vertex of right triangleB) 41C) 5^4*3^5

================================================

Explanations:

In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.This is something to memorize. There's not much explanation I can think of. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.The number 41 is prime because the only factors are 1 and itself.  Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5

HELP ASAP will get brainly user !!!​

Answers

Answer:

46

Step-by-step explanation:

p=6,q=12.

Put the numbers where the letters are.

7x6+12/3

46

Hope this helps!

Answer:

[tex]beinggreat78~here~to~help~you~learn![/tex]

When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.

[tex]7p=7 * number(In~this~case,~6)[/tex]

[tex]7 * 6 = 42[/tex]

The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.

[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]

Lastly, add the quotient and the product together.

[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]

And we are done! The result is 46, so that means your answer is D! Yay!

What have we learned while doing this problem?

We have learned how to multiply and divide in order of operations while dealing with substitution.

Which of the following numerical expressions results in a positive number?

A (-12) - (-21) - 10
B (-12) - (-21)
C 12 - 21
D (-21) – (-12)

Answers

A = - 1
B = 9
C = - 9
D = - 9

B

Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?

y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when x=0)

Solving the Question

We're given:

m = 5The line passes through the point (0,-4)

Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.

On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.

The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.

Answer

y = 5x - 4

. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

We need the picture of the line plot in order to answer the question

Step-by-step explanation:

After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?

Find the chi-square table here.

χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05

Answers

The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

How to depict the hypothesis?

It should be noted that hypothesis testing is done in order to get more information about a particular issue.

In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.

Learn more about hypothesis on:

https://brainly.com/question/15980493

What in the cinnamon toast crunch is 2+ x= 1

Answers

Answer:

x = -1

Step-by-step explanation:

Please answer correctly!! Will mark brainliest

Answers

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS

Answers

Answer:

Minimum

Step-by-step explanation:

The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.

[tex]\sf x=3 \implies x-3=0[/tex]

[tex]\sf x=7 \implies x-7=0[/tex]

[tex]\sf \implies y=a(x-3)(x-7)[/tex]   (for some constant a)

[tex]\sf \implies y=ax^2-10ax+21a[/tex]

The optimal value is the y-coordinate of the vertex.  

[tex]\sf \implies vertex=(x,-3)[/tex]

The x-coordinate of the vertex is the midpoint of the zeros:

[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]

[tex]\sf \implies vertex=(5,-3)[/tex]

Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.  

So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.

Additional Information to create the equation of the quadratic

Vertex form of quadratic equation:  [tex]\sf y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

[tex]\sf \implies y=a(x-5)^2-3[/tex]

[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]

To find the value of a, compare the constants of both equations:

[tex]\sf 21a=25a-3[/tex]

[tex]\sf \implies -4a=-3[/tex]

[tex]\sf \implies a=\dfrac34[/tex]

So the final equation is:

[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]

[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]

[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]

!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks

Answers

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]

Arc length of grey sector

Radius = 8 cm

[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                [tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]

                [tex]\sf =19.0356432...[/tex]

                [tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]

rewrite 4+2/3x=3/4 so it does not have fractions.

Answers

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

3/11 x 4/9 fraction multiplication

pls help

Answers

Answer:

[tex] \frac{1}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3}{11} \times \frac{4}{9} [/tex]

[tex] \frac{12}{108} [/tex]

[tex] \frac{1}{9} [/tex]

Answer= 1/9 there you go buddy I will send you anything for a mathematics

Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2

Answers

Using the vertical asymptote of the function, it is found that it is given by:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).

The graph has one vertical asymptote at x=2, hence the denominator is x - 2.

Hence:

[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]

The y-intercept of the graph is y=−3, hence:

[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]

[tex]-4a = 6[/tex]

[tex]a = -1.5[/tex]

Thus, the function is:

[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]

More can be learned about asymptotes at https://brainly.com/question/16948935

Jupiter takes 4332 earth days to orbit the sun mercury orbits the sun in 88 earth days. How many complete orbits will mercury make until Jupiter completes one

Answers

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

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