Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
Answer: The answer is:
d=220, b=300
Step-by-step explanation:
You could solve this problem using a series of equations:
d+b=520
b-80=d
How I solve this is:
If d+b=520, you could divide 520 by 2 and say that d and b's average is 260 (though that is not their value).
Then , you know that the difference between them is 80. Since the average is 260, you could add half of 80 (which is 40) and subtract the same to get 220 and 300, which, as you can see, have a difference of 80 and add up to 520. Now you have to find out which is which.
Since 80 fewer tickets were purchased at the door than before the concert (d+80=b (the second equation)), you know that the number of tickets at the door is the lesser number, making the answer:
d=220, b=300
Answer: 0.2872
Step-by-step explanation:
Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.
i.e. n= 1000 and x= 260
⇒ Sample proportion : 
z-value for 95% confidence interval : 
Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-
∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872
Answer:
32
Step-by-step explanation:
