Answer:
The cost of hardbook is $9 and cost of paperback is $5.
Step-by-step explanation:
Let x be the price for hardback book and y be the price for paperback book.
Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.
We can write the equation as:
![42x + 64y = 698](https://tex.z-dn.net/?f=42x%20%2B%2064y%20%3D%20698)
He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.
We can write the equation as:
![42x + 58y = 668](https://tex.z-dn.net/?f=42x%20%2B%2058y%20%3D%20668)
We have to use the elimination method to solve the two equations.
We eliminate x by subtracting the two equations.
![42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9](https://tex.z-dn.net/?f=42x%20%2B%2064y-%2842x%20%2B%2058y%29%20%3D%20698%20-%20668%5C%5C%5CRightarrow%206y%20%3D%2030%5C%5C%5CRightarrow%20y%20%3D%205%5C%5C42x%20%2B%2064%285%29%20%3D%20698%5C%5C%5C%5C%5CRightarrow%20x%20%3D%20%5Cdisplaystyle%5Cfrac%7B698%20-%2064%285%29%7D%7B42%7D%5C%5C%5C%5C%5CRightarrow%20x%20%3D%209)
Thus, the cost of hardbook is $9 and cost of paperback is $5.
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162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
Answer:
3/7 / 42.8% chance
Step-by-step explanation:
There are 6 striped balls (9, 10, 11, 12, 13, 14) and 8 (1, 2, 3, 4, 5, 6, 7, 8) solid colored balls. So, 6 / 14 balls are striped.
(6 / 14 = 3 / 7)
this means that the probability of a ball being striped has the odds of 3/7
(3/7 = about 42.8% chance)
Answer:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²
Step-by-step explanation:
Force = mass x acceleration
Therefore,
acceleration = Force / mass
Acceleration = 0.5 / 0.25
Acceleration = 2 m/s²