Answer:
This ans is easily solved by using algebraic identities a²- b² = (a+b) (a-b)
Step-by-step explanation:
1. convert into Identity
2. solve quadratic equation that formed.
Answer:
5 miles per hour.
Step-by-step explanation:
Average speed = distance time = 6 / (1 1/5)
= 6 / 6/5
= 6 * 5/6
= 5 miles per hour.
Answer:
56
Step-by-step explanation:
Answer: The required number of large order of chicken tenders is 5.
Step-by-step explanation: Given that Sheila loves to eat chicken tenders. A small order comes with 5 chicken tenders, and a large order comes with 8 chicken tenders.
Last month, Sheila ordered chicken tenders a total of 7 times. She received a total of 50 chicken tenders.
We are to find the number of large chicken tenders received by Sheila.
Let x and y represents the number of small orders and large orders respectively of chicken tenders.
Then, according to the given information, we have

and
![5x+8y=50\\\\\Rightarrow 5(7-y)+8y=50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 35-5y+8y=50\\\\\Rightarrow 3y=50-35\\\\\Rightarrow 3y=15\\\\\Rightarrow y=\dfrac{15}{3}\\\\\Rightarrow y=5.](https://tex.z-dn.net/?f=5x%2B8y%3D50%5C%5C%5C%5C%5CRightarrow%205%287-y%29%2B8y%3D50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5CRightarrow%2035-5y%2B8y%3D50%5C%5C%5C%5C%5CRightarrow%203y%3D50-35%5C%5C%5C%5C%5CRightarrow%203y%3D15%5C%5C%5C%5C%5CRightarrow%20y%3D%5Cdfrac%7B15%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20y%3D5.)
Thus, the required number of large order of chicken tenders is 5.