A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days he must use the gym to make the membership worthwhile?

Answers

Answer 1

Answer:

22 days  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Nonmember:

swim: $5

exercise: $9

Per day:  9 + 5 = $14


Member:

$300 per year plus $4 per day for an exercise class.  $0 for swimming


300 ÷ 14 = 21.428      21 days x $14 = $294     22 days x $14 = $308

So.... if he goes to the gym at least 22 days he will save money with the membership.

Answer 2

Answer:

The answer is D.) 5d+9d = 300 + 4d

Step-by-step explanation:

The equation states that for each day he attends to the gym to swim and exercise without a membership he has to pay for both, which is $5 and $9 respectively. This is each day that he attends.

However, if he HAS a membership, he only has to pay the $300 yearly fee once, and then $4 everyday he attends afterwards to do both swimming and exercising.

Now, in order to find out when the membership is worth it you need to find out when the membership cost and the non-membership cost is equal. so on one side of the equation you'll need the non-membership costs, and on the other side we'll put the membership cost.

So, for the non-membership cost, every day he goes it'll cost him $5 to swim and $9 to exercise, meaning that one side of the equation is 5d (d represents days) + 9d

And for the membership side we have the $300 initial, one-time fee, and then the $4 a day he has to pay to attend. This is equivalent to 300+4d

Finally, we put both equations together in a way to show that we want both sides to be equal, i.e

5d+9d = 300+4d

Thus our answer is D


Related Questions

The famous math water fountain is just 5 miles away from the high school. How far is the fountain away from the school on the map?

Answers

Answer:


Step-by-step explanation:

What is the scale of the map? Just multiply the ratio (distance on map x actual distance) by 5.

Point( -2 -1) and is perpendicular to the graph of y equals negative 2/3 x + 6. line n is parallel to line M and passes through point (4,-3). which is the equation of line and in slope intercept form

Answers

Answer:

I don't know I don't know I don't know I don't know

Write an equation in the form y = mx + b for the line that has a slope of 2 and passes through the point shown in the graph.

Answers


[tex]y = 2x - 6[/tex]

Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs. Jackson use?

Answers

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)


find the value of x and y in the triangles below

Answers

Answer:

x=9 y=24


Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

72

divide by 3

y=24


What is the sum of ¾ + ⅔ in simplist form

Answers

Answer:

The answer is 17/12

Step-by-step explanation:

3/4 + 2/3

= 9/12 + 8/12

= 9 + 8/12

= 17/12

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]

Therefore:

[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]

Answer: 17/12 = 1 5/12

Find 49 divided by 7 please

Answers

The answer to the question is 7.

write this polynomial in descending form 5x3 + 2x + 7x5

Answers

7x^5 + 5x^3 + 2x : answer to the question

The polynomial 5x3 + 2x + 7x5 written in descending form is 7x5 + 5x3 + 2x, organized from the highest to the lowest power of x.

To write the polynomial 5x3 + 2x + 7x5 in descending form, arrange the terms in order from the highest power of x to the lowest. The given polynomial has the terms with powers of 5, 3, and 1. Organizing the polynomial in descending order of the exponents gives us:

7x5 + 5x3 + 2x.

As we can see, the term with the highest exponent, 7x5 (degree 5), comes first, followed by 5x3 (degree 3), and lastly the term with the lowest degree, 2x (degree 1).

What’s the question mark

Answers

Answer:

? = 30

Step-by-step explanation:

If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.

Set up a proportion.

63/54 = 35/?

63? = 54 * 35

63? = 1890

? = 30

It is 30 you can figure it out by know how much is left

Plz help on these problems.

Answers

Answer:

see below

Step-by-step explanation:

1) 4

2) 1 or -1

What is the distance between (2,-6) and (-4,8)

Answers

Hi there! :)

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]

Slope is 14/-6

Final answer is 14/-6

Hope this helps!

-Charlie

Have a nice day! :)

:D

Thanks!


find the measure of angle B, note that angle B is acute

Answers

Answer:

B= 44.9506°

Step-by-step explanation:

WE apply sine angle formula

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Given angle C = 51, c= 11 and b = 10

[tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

Plug in the values

[tex]\frac{10}{sin(B)}=\frac{11}{sin(51)}[/tex]

Cross multiply it

10 * sin(51) = 11* sin(B)

7.771459615 = 11 sin(B)

Now divide by 11 on both sides

0.706496328 = sin(B)

Now [tex]B = sin^{-1} (0.706496328)[/tex]

B= 44.9506°

Can some solve this
[tex]200 > 4.50 + 35[/tex]

Answers

[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]


which is about 36.67 > x.

y=-3x-5 and y=−10x-9 Round to the nearest hundredth.

Answers


[tex]x = - .57[/tex]
[tex]y = - 3.3[/tex]

Find -3/7 ÷ -1 1/4 please

Answers

Answer:


Step-by-step explanation:

(-3/7)*(-4/11)

12/77

Answer:

=-12/7 or -1.71429....

Step-by-step explanation:


evaluate j/k -0.2k when j =25 and k = 5

Answers

When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
[tex]\frac{25}{5}-\frac{1}{5}5[/tex]
Just evaluating we get 4

Answer:

4

Step-by-step explanation:

To evaluate a function with certain defined values, we must substitute the values ​​in the equation, perform the indicated operations and in this way we obtain the final value.

If j = 25  and k=5

replacing in the equation

[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5)  = 5 -1 = 4[/tex]

rearranging familiar formulas the area A of rectangle is 25 in in formula for area is A=lw if the width w is 10 inches what is the lengh l

Answers

Answer:

2.5 in  

Step-by-step explanation:

A = lw     Divide each side by w

l = A/w

A = 25 in²; w = 10 in

l = 25/10

l= 2.5 in

Simplify: -2/3 (-3 – 9x)

Answers

Answer:

find below

Step-by-step explanation:

-2/3 (-3 – 9x) = 2+6x

2+6x

Please helppp ASAP!!

Answers

Answer:

Part A

(5x+4)+(6x-9)=11x-5

part (B)

(5x+4)(6x-9)

30x²-45x+24x-36

30x²-21x-36

part (c)

m[n(x)]=m(6x-9)+4=30x-45+4=30x-41

Step-by-step explanation:


What is
1.567 + 2.345 - 1.83(5) A) -2,082 B) -5.238 C) 2.082 D) 5.742

Answers

Answer:

c) 2.082

Step-by-step explanation:

First you would add 1.567 and 2.345 together to get 3.912. If you take 3.912 and subtract 1.83 from that, it would be 2.082.

Hey there!

1.567 + 2.345 - 1.83 (5)

1.567 + 2.345 = 3.912

3.912 - 1.83(5)

1.83(5) = 9.15

3.912 - 9.15 = -5.238

Answer: -5.238 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Maria and Andrew sold drinks from a lemonade stand in the summer. Because Maria built the stand they agreed that she should get twice as much of the profit as Andrew. If they made $187.41 profit how much money did Maria make?

Answers

Answer:

Maria made = $124.94


hope it helps

Step-by-step explanation:

if they made $187.41 and maria is getting twice a much as Andrew you'll divide 187.41 by 3 because maria is getting twice as more

187.41 ÷ 3 = 62.47

Andrew =  62.47

Maria = 62.47 x 2 = 124.94

to check your answer by adding 124.94 and 62.47 and should equal to the money made in total


124.94 + 62.47 = 187.41


Maria's profit from the lemonade stand business is calculated by dividing the total profit by 3 and then multiplying that amount by 2, as she is to receive twice as much as Andrew.

The question involves calculating Maria's share of the profit from their lemonade stand business. With a total profit of $187.41, and the agreement that Maria should receive twice as much as Andrew, we can set up an equation to solve the problem. Let's denote Maria's profit as M and Andrew's profit as A. The equation based on their agreement is M = 2A. Since the total profit is their profits added together, we have another equation: M + A = $187.41. Substituting the first equation into the second, we get: 2A + A = $187.41, which simplifies to 3A = $187.41. Dividing both sides by 3 to isolate A, A = $187.41 / 3. Calculating this gives us Andrew's profit, and multiplying A by 2 gives us Maria's profit.

As a clinical trials monitor, you recruit subjects for a new study. You want 175 subjects per group for 3 groups. How many subjects should you recruit for the whole study?

Answers

To find the answer, we can use multiplication, by multiplying the subjects needed for each group by the total number for the whole study:

subjects per group × total number of groups
= 175 × 3
=525

Therefore, 525 subjects is needed for the whole study.

Hope it helps!

Which expressions are equivalent to (4⋅a)⋅2 ?


Drag and drop the equivalent expressions into the box.

4⋅(a⋅2)

2⋅(4⋅a)

4⋅2⋅a⋅2

8a

4⋅2+a⋅2

Answers

Answer:

4⋅(a⋅2)  

2⋅(4⋅a)

8a

Step-by-step explanation:

(4⋅a)⋅2


4⋅(a⋅2)  This is the same by the  associative property of multiplication


2⋅(4⋅a)  This is the same by the  associative property of multiplication and the communicative property of multiplication


4⋅2⋅a⋅2   This brings in an extra 2 so it is not the same.


8a    4*2 = 8 so this is the same


4⋅2+a⋅2  This is the not the same   8+2a  is not the same as 8a

As a financial consultant, the CFO of a major television company has shared the profit function P(x) = −x4 - 2x3 + 21x2 + 22x − 40 with you which models the profit of the company based on the number of commercials , x, they air in a 24-hour period. DESCRIBE the appearance of the graph to the CFO. Use complete sentences, and focus on the end behaviors of the graph and how to use the function P(x) to find where the company will break even (where P(x) = 0).

Answers

Answer:

The company will break even at x=1 and x=4.

Step-by-step explanation:

The given profit function is

[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]

Where, x is number of commercials.

Use synthetic division or long division to find the factors of the function.

[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]

[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]

[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]

Equate P(x)=0, to find the break even points.

[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]

Use zero product property and equate each factor equal to zero.

[tex]x=4,1,-2,-5[/tex]

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

Factors and Multiples,
56
66
Determine wherther the secound number is a factor of the first number,
72, 3 46, 4 132. 7 216, 9

Answers

That is a lot ofhelp

Answer:

No

Step-by-step explanation:

So, you have 56 and 66. The others are 72, 346, 4132.7216, and 9. 66 can not go into 72 more than once, so therefore the answer is no.

find the unit rate: earn $33 for 4 hours of work

Answers

33/4 = 8.25 per hour.

If C is the hypotenuse of the right triangle ABC with sides A, B, C, and A=12, B=5, then C= ?

Answers

Answer:

13

Step-by-step explanation:

To solve for any missing side of a triangle, simply use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]

Final answer:

The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.

Explanation:

The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².

Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/19649203

#SPJ3

please help will give brainlist

Answers

Answer:

It would be B, Both are linear because the slope is a normal number like 4&-5)

Step-by-step explanation:

They are both linear because they are straight lines.

Answer:

Equation A is nonlinear and Equation B is linear.

If its wrong please tell me and I'll see what i did wrong. Please and Thank you!

Hope this is helpful!

Explicit formula for the sequence 7,2,-3,-8

Answers

Answer:


Step-by-step explanation:

The common difference of the sequence is -5

Since the difference is -5

a_n= 7+(n-1)(-5)

a_n = 7-5n+5

a_n = 12-5n


Find the length of the arc intercepted by a central angle of 240 degrees in a circle of radius r equals 9 feet

Answers

Answer:

37.7 feet ( to 1 dec. place )

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 2π r × [tex]\frac{240}{360}[/tex]

                 = [tex]\frac{2\pi (9)(240)}{360}[/tex] ≈ 37.7 feet


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