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Anvisha [2.4K]
3 years ago
13

A two-year prepaid membership at Gym A costs $250 for the first year plus $19 per month for the second year. A two-year prepaid

membership at Gym B costs $195 for the first year plus $24 per month for the second year. Leah says the cost for both gym memberships will be the same after the 11th month of the second year. Do you agree? Explain.
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0

Answer: no, the cost for both gym memberships will not be same.

Gym A after 23 months = $687 and gym B = $747

Step-by-step explanation:

12 + 11 = 23 months

A = 19x + 250

(19*23+ 250 = $687

B = 24x + 195

(24*23+ 195 = $747

timurjin [86]3 years ago
7 0
Yes it is the 11th month of the second year.

Explanation: Setting the 2 equal to eachother gives 250+19x = 195+ 24x
Solving that equation gives us 55=5x or x=11
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Inessa [10]
X + 2y - 6 = z..........x + 2y - z = 6
3y - 2z = 7
4 + 3x = 2y - 5z.....3x - 2y + 5z = -4

x + 2y - z = 6.....multiply by -3
3x - 2y + 5z = -4
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-3x - 6y + 3z = -18 (result of multiplying by -3)
3x - 2y + 5z = -4
--------------------add
-8y + 8z = - 22

-8y + 8z = -22
3y - 2z = 7 .....multiply by 4
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-8y + 8z = -22
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4y = 6
y = 6/4 reduces to 3/2

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-8(3/2) + 8z = -22
-12 + 8z = -22
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x + 2y - 6 = z
x + 2(3/2) - 6 = -5/4
x + 3 - 6 = -5/4
x - 3 = -5/4
x = -5/4 + 3
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solution is (7/4, 3/2, -5/4).....x = 7/4, y = 3/2, and z = -5/4
4 0
3 years ago
Point A is located at (-4,\ 9)(−4, 9) on the coordinate plane. Point B is located at (-4,\ -7)(−4, −7). ​What is the distance be
galben [10]

Answer:

AB = 16 units

Step-by-step explanation:

Given the coordinate (-4, 9) and (-4, -7)

Using the formula for calculating the distance between two points

AB = √(x2-x1)²+(y2-y1)²

AB =√(-7-9)²+(-4+4)²

AB = √(-16)²+0²

AB = √16²

AB = 16 units

Hence the distance between Point A and Point B is 16 units

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If the 100th term of an arithmetic sequence is 710, and its common difference is 7, then
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If a is the first term then a+99*7=710, a+693=710, a=710-693=17. The first term is 17.
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3 years ago
Which expression is equivalent to the given expression?
USPshnik [31]

Answer:

A.

Step-by-step explanation:

The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.

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Amy raises $58.75 to participate in a walk a thon. Jeremy raises $23.250more than Amy. Oscar raises 3 times as much as Jeremy. H
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1. 58.75 + 23.25 = 82
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Oscar raised $246
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3 years ago
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