Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $85 per month, while the membership for the second gym costs $50 per month. If she ended up spending a total of $705 over the course of the year, how much time did she spend at each gym?

Jan Spends Part Of Her Year As A Member Of A Gym. She Then Finds A Better Deal At Another Gym, So She

Answers

Answer 1

Answer:

Jan spent 3 months at the first gym and 9 months at the second gym.

Step-by-step explanation:

Given that:

1 year = 12 months

x = months at gym one

y = months at other gym

According to given statement;

x+y=12      Eqn 1

85x+50y=705     Eqn 2

Multiplying Eqn 1 by 50

50(x+y=12)

50x+50y=600     Eqn 3

Subtracting Eqn 3 from Eqn 2

(85x+50y)-(50x+50y)=705-600

85x+50y-50x-50y=105

35x=105

Dividing both sides by 35

[tex]\frac{35x}{35}=\frac{105}{35}\\x=3[/tex]

Putting x=3 in Eqn 1

3+y=12

y=12-3

y=9

Hence,

Jan spent 3 months at the first gym and 9 months at the second gym.


Related Questions

can someone help me?

Answers

Use math Microsoft app it will help you
Use photo math it hell

In how many months should Jake plan on having his
new site set up? Do not round. Input your answer.

Answers

Answer:

4.8 months

Step-by-step explanation:

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of point r is 3 more than the y-coordinate of point q

Answers

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

a point that is on both graphs will be a
______________

A. Solution for both equations
B. Solution for one equation
C. Solution for neither equation​

Answers

Answer:

A i think

Step-by-step explanation:

hope this helps!!


Which equation best represents the relationship
between x and y in the graph?
A. y = x + 2
C. y = 2x + 2
B. y = 2x - 2
D. y = Vzx - 2

Answers

Answer:

C y= 2x +2

Step-by-step explanation:

Look at the graph and look at the dots. For example if you look at negative 1 on the x-axis there is a dot there. so it now you count up to where you see the next dot on the y-axis. Which it goes up 2, then count to the right towards the Y-Axis which is one. now you left with 2/1. since it is going up 2 it will be positive and 2 over 1 is simplified so you are left with 2x and the B will be 2 because the line goes through 2 on the y-axis. This equation should help you y=mx+b m is the slope and B is the y axis

IL GIVE BRAINLIEST AND MOREEE HELP

Answers

Answer:

-15

Step-by-step explanation:

Hope this Helps

Answer: -335

Step-by-step explanation:

At the start of the napkin aisle, you see
a list of the different package options,
shown in the table below.
Are the price of napkins and the
number of napkins in each package
proportional to each other? Why or
why not?

Answers

Answer:

D

Step-by-step explanation:

Proportional mean the same but 100 napkins is cheaper then 50 so it is not proportional

Answer:

The answer is D.

No, the ration found by dividing the price of napkins by the number of napkins is not the same for each pack.

Step-by-step explanation:

The prices and the number of napkins in each package are not proportional to each  other because they all not equal to each other when the number of napkins is divided by the price

Hope this helps!!! :)

BRAINLIEST PLEASE

Simplify

1/2 + (3/8 - 1/8)^2

Answers

9/16

Decimal form - 0.5625

You welcome :)

Latest Releases Depot rents DVD/Blue ray for $3.00 each and has no membership fee. Video for You rents DVD/Blue rays for $2 each but has a membership fee of $15.

Answers

Answer:

15 rentals

Step-by-step explanation:

Latest Releases Depot

rent = $3 per DVD

membership= free

let the number of DVD be x

let the expression for the total be

y= 3x----------------1

Video for You

rent= $2  per DVD

membership= $15

let the number of DVD be x

let the expression for the total be

y= 15+2x----------------2

equate 1 and 2

3x=15+2x

collect like terms

3x-2x=15

x= 15

Hence the number of DVDs needed for the two rentals to have the same amount is at least 15 rentals

Solve the system using the substitution method.
2x+y=7
x=3y
Demonstrate how you substituted to write an equation in one variable.

Answers

Answer:

(3,1)

Step-by-step explanation:

work is in picture

A car with a mass of 1000 kg crashes into a wall. The acceleration before the crash was 5 m/s2. What is the force

Answers

Answer: 10m/8

Step-by-step explanation: 5 ( m/s) *2= 10/8

What’s the answer
Answer choices are :
A ) 26
B ) 28.8
C ) 43.2
D ) 144

Answers

Answer:144

Step-by-step explanation:

144 is the answer to the problem nod a or b or c jjusst D

Select all expressions that are equivalent to 3 x 5 − 6 x 4 y + 3 x 3 y 2 . A. 3 x 3 ( x − y ) 2 B. 3 x 3 ( x 2 − 2 x y + y 2 ) C. 3 x 3 ( x + y ) 2 D. 3 x 3 ( x − y ) ( x + y ) E. 3 x 3 ( x − y ) ( x − y )

Answers

Answer:

B

Step-by-step explanation:

Factorizing 3x^5−6x4y+3x^2y^2

[tex]= (3x\left(x^4-8y+xy^2\right)[/tex]

=

[tex]3x^3 ( x^2-2 x y + y^2 )[/tex]

Answer:

B

Step-by-step explanation:

A man gives 1/4 property to his son, 1/3 of the remainder to his daughter and the rest part to hos wife, what portion did his wife get?

Answers

Answer:

5/12 goes to wife I don't really know how to explain it

i'm stuck on this one :(

Answers

Answer:

they are both correct, all sides are equal to eachother yknow?

Step-by-step explanation:

Both are correct:) any side are equal to each other

Helppppp pleaseeeeee

Answers

Answer:

6 ft

Step-by-step explanation:

6^3 = 216

00:00

Select all the numbers that are irrational.

6.7234724...

315

8

-0.25

✓7

17

36

Answers

Answer:

6.7234724... ; ✓7

Step-by-step explanation:

In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.

Using the values given :

6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.

315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.

-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.

✓7 - irrational as the simplification gives : 2.6457513...

What is the number of possible outcomes when a coin is tossed one time

Answers

Answer:

2.

Step-by-step explanation:

the coin could be heads or tails, but knowing me prolly 3 because I would lose the coin when I flip it.

Answer:

The possible outcomes when a coin is tossed one time are heads and tails. therefore, the number of possible outcomes is 2.

Step-by-step explanation:

I hope it's helpful!

4
3

(2
3
+4
2
)=start fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equals

Answers

Step-by-step explanation:

here

hshdhdhjdbdgdjjd

The solution to the given expression starts fraction, 3, divided by, 4, end fraction, left parenthesis, 2, cubed, plus, 4, squared, right parenthesis, equal to 18.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We can solve the given expression by simple multiplication,

[tex]\frac{3}{4} (2^{3} +4^{2} )\\\\\frac{3}{4} (8 +16 )\\\\\frac{3}{4} (24 )\\\\3 \times 6\\18[/tex]

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

PLS HELP ME I WILL GIVE BRAINLIEST ASAP!! PLS HELP ME I WILL GIVE BRAINLIEST ASAP!!
PLSSSS GRAPH IT AND WRITE A SOLUTION!!

Answers

that’s the answer plot the points

The regular price of a jacket is $48.00. What is the sale price of the jacket if it is marked 25% off

Answers

Answer:

$36 for the jacket

what is this??? 28÷7×4=?

Answers

Answer: 16

Step-by-step explanation: 28÷7=4

                                             4×4   = 16

What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)

Answers

Answer:

4.

Step-by-step explanation:

inverse proportion:

12/3=x/9.

3x3=9 therefore 12/3 which is 4.

The missing coordinate is 4.

Hope this helps plz hit the crown :D

sin 60° x tan 45° what is that is for a homework

Answers

Answer:

75 degrees

Step-by-step explanation:

60 = 45= 75 = 180

Because every triangle has 180 degrees in it

hi answers this question with it solve I will mark brainlist​

Answers

Answer:

9.c

10.a

11.c

12.a

13.b

14.b

15.b

1.a -4y+5x+8xy+6y-10xy-8x

we collect like terms so -4y+6y+5x-8x+8xy-10xy

2y-3x-2xy

b.-2x+3y+4xy-(-2x-3y+4xy)

-2x+3y+4xy+2x+3y-4xy

-2x+2x+3y+3y+4xy-4xy

3y+3y=6y

Answer:

hiii and have a nice day

hope u will not busy

hahaha

If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER

Answers

Answer:

Step-by-step explanation:

1. X + y

Putting values of x and y

-7 + (-3)

= - 10

2. xy

Putting values of x and y

(-7)(-3)

= 21

3. x2 + y2

Putting values of x and y

= (-7)2 + (-3)2

= 49 + 9

= 58

A farmer wants to make a fenced square pen. He has a total of 100 meters of fencing. He wants to determine the possibilities for the area of the pen. Let A represent the area of the pen, in square meters.

Answers

Answer:

I put B and A= 25

I got it on another website but I'm not entirely sure.

The square is asymmetrical quadrilateral, which implies it has 4 equal sides and angles. This can also be described as a rectangle having two neighboring sides that are both the same length.

It ensures that the elements are perpendicular, either at right angles to one another.

The length of the square pen is [tex]\sqrt{A}[/tex], and the perimeter should be no more than 100  then the perimeter of a square is 4a the over is [tex]a^2[/tex]  So, the equation :

[tex]\to 4\sqrt{A}=100\\\\ \to \sqrt{A}=\frac{100}{4}\\\\\to \sqrt{A}=25[/tex]

Therefore, the final answer is "25".

Learn more:

brainly.com/question/21148176

A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?​

Answers

Answer:

The member of the art museum can visit 22 times

Step-by-step explanation:

Information For The Question:

Maya makes trail mix by combining 1\4 cup of mixed nuts, 1\3 cup of dried fruit, and 1\6 cup of chocolate morsels.

Question:

What is the total amount of ingredients in her trail mix using 12 as the Denominator?

Answers

Answer:

3/4

Step-by-step explanation:

1/3 + 1/4 + 1/6=3/4 of a cup-total amount of ingredients in her trail mix.

 

Simplify the following:

1/3+1/4+1/6

Put 1/3+1/4+1/6 over the common denominator 12. 1/3+1/4+1/6  =  4/12+3/12+2/12:

4/12+3/12+2/12

4/12+3/12+2/12  =  (4+3+2)/12:

(4+3+2)/12

4+3+2 = 9:

9/12

The gcd of 9 and 12 is 3, so 9/12 = (3×3)/(3×4) = 3/3×3/4 = 3/4:

The rope that can fence out the square garden of length 250m can fence another circular garden twice. What is the area and perimeter of the circular garden?
(Wrong answers will be reported)

Answers

Answer:

Perimeter of circular garden=500m

Area=19,894 sq m

Step-by-step explanation:

250x4=1000

1000/2=500m circle perimeter

Pi x Dia=Circumference

3.14159 x Dia=500m

Dia=159.16m

Rad=159.16/2=79.58m

Area=Pi x Rad^2=2.14159 x 79.58^2=19,894 m^2

Answer: The circumference of the circular garden is 500 meters.

The area is approximately 19891 square meters.

If you use a Rounded value of 80m for the radius, the Area works out to about 20106 square meters.

Step-by-step explanation:

The total length of the rope is 1000m. 4×250=1000

That is enough to fence the circular garden twice, so the "perimeter" of that garden-- the circumference-- is 500m

To find the area, first find the diameter:

500÷π = 159.15

Area of a circle is A=πr²

The radius is half the diameter.

79.57 so r² is about 6331.4

Multiply by π to get the area:

about 19890.6 m²

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