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Darya [45]
3 years ago
10

Jim has to choose between two gym membership plans. Plan a: $50 monthly membership fee and $10 per visit. Plan B: costs $25 mont

hly one time membership fee and $15 per visit
Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

For plan A you would pay $60 for at least one visit but for plan B it would be $40 for one visit

Anika [276]3 years ago
5 0

Answer:  Plan B is better than Plan A as B is cheaper than A.

Step-by-step explanation:

Since we have given that

Plan A consist of :

Amount for monthly membership fee = $50

Cost per visit = $10

Equation of total fees would be

50+10x

Plan B consist of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

Equation of total fees would be

25+15x

Here , x denotes the number of visits.

Let us suppose x = 1

Then , fees for plan A would be

50+10\times 1\\\\=\$60

Fees for plan B would be

25+15\times 1\\\\=25+15\\\\=\$40

Hence, Plan B is better than Plan A as B is cheaper than A.

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A square piece of paper has an area of x2 square units. A
Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

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