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Pachacha [2.7K]
3 years ago
13

molly is 5 years younger than her sister. The sum of their ages is 37. Define a variable. write an equation and then molly's age

.
Mathematics
1 answer:
k0ka [10]3 years ago
5 0
I will take M as molly and S as her sister

M=x-5
S=x
M+S=37
X-5+x=37
2x-5=37
Now you add 5 on both sides so you get 2x=37+5
-5 on other becomes 0 because when you add +5 and -5 get cancels out
So I am left with 2x=37+5
2x=42
Than you divide 2 on both side to get x alone so you are left with
X=(42/2)
X=21

Molly’s age equation is x-5
Now you plug x into the equation so you get
21-5
And that’s equal to 16
So Molly’s age is 16 years
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Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 132.
laiz [17]
Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20

or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.
8 0
3 years ago
Sam deposits the same amount of money,every week,for 71 weeks in his checking account.At the end of 71 weeks,he has $6,015 in th
rosijanka [135]
What is the rest of the problem? I can help you!
3 0
3 years ago
Pls help for a crown thing
BigorU [14]

Answer:

the answer is c

Step-by-step explanation:

just is.

8 0
3 years ago
The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they r
vichka [17]

Answer:

z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462  

Now we can find the p value using the alternative hypothesis with this probability:

p_v =P(z>0.462)=0.322  

Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Step-by-step explanation:

Information provided

n=100 represent the random sample selected

\hat p=0.77 estimated proportion of students that are satisfied

is the value that we want to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:  

Null hypothesis:p\leq 0.75  

Alternative hypothesis:p > 0.75  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462  

Now we can find the p value using the alternative hypothesis with this probability:

p_v =P(z>0.462)=0.322  

Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

4 0
3 years ago
A teacher claims that there is a 50% chance that she
mash [69]

Answer:

D

Step-by-step explanation:

That's the answer on edge!

3 0
3 years ago
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