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ladessa [460]
3 years ago
10

You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers me

mbership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

The cost will be the same after 1 month

Step-by-step explanation:

Step 1: set up the equation

club A= 28x+24  club B= 35x+17

club A=club B: 28x+24=35x+17

Step 2: Get rid of the smallest X

28x+24=35x+17

-28         -28

24=7x+17

Step 3: Get rid of the constant next to the variable to isolate the variable

24=7x+17

-17       -17  

7=7x

Step 4: Inverse operation to remove variable

7÷7x=7x÷7x

1=1

I hope this helped, im not too good at explaining but im positive the solution is correct.

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N is the middle integer of three consecutive positive integers.
abruzzese [7]

Answer :

\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

<u>The </u><u>last</u><u> </u><u>integer</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies Last \ Integer \ = \ n - 1

<u>The </u><u>next</u><u> </u><u>Integer</u><u> </u><u>will</u><u> be</u><u> </u><u>:</u><u>-</u>

\sf\implies Next \ Integer \ = \ n + 1

Now the Question says that the three integers are multipled to give a product . So that would be.

\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}

Now thirdly it's given that n is added to the given integer . That would be ,

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Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.

6 0
3 years ago
3) How many liters of a 20% acid solution must be mixed with a 60% solution to obtain 40 liters of a 35% solution? (25,15)THATS
serg [7]
<span>let x = the number of liters of the 20% solution. 

let y = the number of liters of the 60% solution. 

you want x + y to be equal to 40 liters. 

x is the number of liters total in the first solution.
y is the number of liters total in the second solution. 

you want .2 * x + .6 * y to be equal to .35 * 40 

.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution. 

you have two equations that need to be solved simultaneously. 

they are: 

x + y = 40
.2x + .6y = .35*40 

simplify these equations to get: 


x + y = 40
.2x + .6y = 14 

you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection. 

the graph looks like this: 

 
the graph says the intersection is at the coordinate point of (25,15). 

this means that x = 25 and y = 15. 

x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution. 

the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good. 
</span>
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