Answer:
![y=-2.18,-0.22](https://tex.z-dn.net/?f=y%3D-2.18%2C-0.22)
Step-by-step explanation:
We have been given the equation
![(5y+6)^2=24](https://tex.z-dn.net/?f=%285y%2B6%29%5E2%3D24)
Take square root both sides. When ever we take square root, we include plus minus sign
![\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6](https://tex.z-dn.net/?f=%5Csqrt%7B%285y%2B6%29%5E2%7D%3D%5Cpm%5Csqrt%7B24%7D%5C%5C%5C%5C5y%2B6%3D%5Cpm2%5Csqrt6)
Now, subtract 6 to both sides of the equation
![5y=-6\pm2\sqrt6](https://tex.z-dn.net/?f=5y%3D-6%5Cpm2%5Csqrt6)
Divide both sides by 5
![y=\frac{1}{5}(-6\pm2\sqrt6)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D%28-6%5Cpm2%5Csqrt6%29)
![y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D%28-6%2B2%5Csqrt6%29%2Cy%3D%5Cfrac%7B1%7D%7B5%7D%28-6-2%5Csqrt6%29)
In decimal we have
![y=-2.18,-0.22](https://tex.z-dn.net/?f=y%3D-2.18%2C-0.22)
7/8 = 87.5%
I'm guessing it is meant to say round to the nearest 10th of a percent
If the question actually says something different comment so i can fix it
Answer:
7, 7, 60, 60, 60
Step-by-step explanation:
When you draw the circles thhey all hhave radius AB so AB=AC=BC =7
and since all sides are congruent you have a equilateral treangle so all angles are equal to 180/3=60
System of equations:
We'll need one equation for the amount of pizzas, and another for the total cost of the pizzas. In this case, x will represent small pizzas, and y will represent large pizzas.
3x + 4y = 100
x + y = 30
Solving the system of equations:
First, we need to solve for one variable in one equation.
x + y = 30
x = 30 - y
Then, we'll take our equation that is solved for x and plug it into the other equation from above.
3(30 - y) + 4y = 100
Next, we solve for y.
90 - 3y + 4y = 100
90 + y = 100
y = 10
Finally, we take our value for y and plug it back in to the very first equation and solve for x.
x = 30 - 10
x = 20
Answer:
The student has sold 10 large pizzas and 20 small pizzas.
Hope this helps!! :)