1.5 * 8/5 = 0.3*8 = 2.4
2.5 * 8/5 = 0.5*8 = 4.0
Answer:
![\displaystyle [-2, 7]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-2%2C%207%5D)
Step-by-step explanation:
You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
![\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%20%5C%7B%20%7B%7B4x%20%2B%202y%20%3D%206%7D%20%5Catop%20%7B-2x%20%2B%202y%20%3D%2018%7D%7D%20%5Cright.)
{½[4x + 2y = 6]
{−2x + 2y = 18
>> ![\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%20%5C%7B%20%7B%7B2x%20%2B%20y%20%3D%203%7D%20%5Catop%20%7B-2x%20%2B%202y%20%3D%2018%7D%7D%20%5Cright.%20%5C%5C%20%5C%5C%20%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7B21%7D%7B3%7D%20%5C%5C%20%5C%5C%20%5C%5C%20y%20%3D%207)
Plug this back into the system to get the x-value of ![\displaystyle -2.](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-2.)
I am joyous to assist you at any time.
Answer $5.16
Step-by-step explanation:
$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils
Answer:
So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)
Step-by-step explanation: