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OLga [1]
3 years ago
14

Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. L

isa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?​
Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:  After they've played 8 games, they will have the same amount of money remaining.

Step-by-step explanation:

Represent the number of games by the variable x and the remaining amount of money by the variable y.  

 Deanna's situation can be represented by the equation   y = 15 - 0.75x  

Lisa's situation can be represented by the equation   y = 13 - 0.50x  

Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.

15 - 0.75x = 13 - 0.50x

-13               -13

        2 - 0.75x = - 0.50x

             +0.75x      +0.75x

  2 =  0.25x  

 x  = 8  

         

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4 0
3 years ago
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What is the equation of the rational function g(x) and its corresponding slant asymptote?
bija089 [108]

The solution to the Questions are

  • The alternate hypothesis demonstrates that there are two possible outcomes for the test.
  • Decision rule: If z > 2.05 or z<-2.05, reject H0
  • z=2.59
  • The two-tailed nature of the test is shown by the alternative hypothesis.
  • The result of the test yields the following P-value: 0.0096

<h3>What is the alternate hypothesis?</h3>

(a)

The alternate hypothesis demonstrates that there are two possible outcomes for the test.

(b)

Here we have

n_{1}=40,\\\\ \bar{x}_{1}=102,\sigma_{1}=5,n_{2}=50,\bar{x}_{2}=99,\sigma_{2}=6

(b)

Here the test is two-tailed. So for \alpha =0.04, the critical values of the z-test are -2.05 and 2.05.

Decision rule: If z > 2.05 or z<-2.05, reject H0

(c)

Test statistics will be

z=\frac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}}  \\\\\\z=\frac{(102-99)-(0)}{\sqrt{\frac{5^{2}}{40}+\frac{6^{2}}{50}}}

z=2.59

(d)

The two-tailed nature of the test is shown by the alternative hypothesis.

(e)

The result of the test yields the following P-value: 0.0096

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4 0
2 years ago
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I got -8m+24-32n

Step-by-step explanation:

8 and m equals 8m and since its negative 8 you add a negative sign: -8m

A negative and a negative equals a positive so its a positive sign and it equals +24:+24

A negative and a positive equals a negative so its minus 32n since the 4 includes an n:-32m

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