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JulijaS [17]
3 years ago
14

A membership to the gym costs $23 per person in 1995. The membership cost has increased by an average of $6 per person for each

year since 1995.
a. Write a linear equation for the cost of a gym membership for one person since 1995.
b. What is the cost of a gym membership in 2009?
c. What year did the gym membership cost $85?
Mathematics
2 answers:
IceJOKER [234]3 years ago
5 0
Y= membership cost in year x
x=year ////
A=6(x-1995) + 23=Y
6(2009-1995)+23=Y ---> 6*14 +23=84 +23=107
notsponge [240]3 years ago
4 0
A) The membership cost starts at $23 and it adds $6 every year. The 23 would be your b and the 6 would be your slope, m, in the form y=mx+b.
y=6x+23
This equation means that you're starting at 23 dollars and adding 6 dollars with every x you add.

B) 2009-1995=14 This means that there's 14 years that the cost increased. 14*6=$84 The membership cost increased by anther $84 over the 14 years. You have to add 84 to 23 to find your total=$107. 

C) Set $85 equal to 6x+23
85=6x+23
6x=62
x≈10
10 years later the cost will be $85. 
1995+10=2005
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3 years ago
From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21
ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

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8 0
2 years ago
Please help me! I will give brainliest to the best answer
8_murik_8 [283]
1. When there are two events that need to happen, we must multiply the probability of each event happening.

Shawn losing to Mike: 5/8 chance
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5/8 × 2/7 = 10/56 = 5/28

There's a 5/28 chance of Shawn losing to Mike and Tim.

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Hope this helps!
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It’s a rational number.

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7 0
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garik1379 [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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