There are a total of 16 coins, so out of the ratio, that 16 goes on the bottom. Now you have to add up the coins that are NOT quarters and that number goes on the top. So your ratio is 8/16 or 1/2
Answer:
![A\geq 200...(1)](https://tex.z-dn.net/?f=A%5Cgeq%20200...%281%29)
![5A+2.50C\leq 1500...(2)](https://tex.z-dn.net/?f=5A%2B2.50C%5Cleq%201500...%282%29)
Step-by-step explanation:
Let A represent number of adult t-shirts and C represent number of child t-shirts.
We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be
and cost of C child t-shirts would be
.
We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.
We can represent this information in an inequality as:
![A\geq 200...(1)](https://tex.z-dn.net/?f=A%5Cgeq%20200...%281%29)
We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.
We can represent this information in an inequality as:
![5A+2.50C\leq 1500...(2)](https://tex.z-dn.net/?f=5A%2B2.50C%5Cleq%201500...%282%29)
Therefore, our required system of inequalities would be:
![A\geq 200...(1)](https://tex.z-dn.net/?f=A%5Cgeq%20200...%281%29)
![5A+2.50C\leq 1500...(2)](https://tex.z-dn.net/?f=5A%2B2.50C%5Cleq%201500...%282%29)
Answer:
((2 x^2 + 1)^2)/(x^2)
Step-by-step explanation:
Simplify the following:
(2 x + 1/x)^2
Hint: | Put the fractions in 2 x + 1/x over a common denominator.
Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:
((2 x^2)/x + 1/x)^2
Hint: | Combine (2 x^2)/x + 1/x into a single fraction.
(2 x^2)/x + 1/x = (2 x^2 + 1)/x:
((2 x^2 + 1)/x)^2
Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.
Multiply each exponent in (2 x^2 + 1)/x by 2:
Answer: ((2 x^2 + 1)^2)/(x^2)
Answer:
We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)
Step-by-step explanation:
Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)