¹¹/48 of the full cup
Step-by-step explanation:
We add the two fraction first to determine the total ratio
¹/4 + ²/3 = ¹¹/12
She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice
Therefore;
¼ : ¹¹/12
How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12
? (x) : ¹²/12
We cross multiply the ratios;
¹²/12 * ¼ = ¹¹/12 * x
³/12 = ¹¹/12 x
³/12 * ¹²/11 = x
¹¹/48 = x
If its talking about the temperature decreased it would be -11 but it's asking for an integer
Answer:
6x²
Step-by-step explanation:
Answer:
The system of equations is :
Equation 1- ![5x+2y=50](https://tex.z-dn.net/?f=5x%2B2y%3D50)
Equation 2- ![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- ![5x+2y=50](https://tex.z-dn.net/?f=5x%2B2y%3D50)
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- ![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1
![5x+2y-x-2y=50-30](https://tex.z-dn.net/?f=5x%2B2y-x-2y%3D50-30)
![4x=20](https://tex.z-dn.net/?f=4x%3D20)
![x=\frac{20}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B20%7D%7B4%7D)
![x=5](https://tex.z-dn.net/?f=x%3D5)
Put value of x in equation 2
![x+2y=30](https://tex.z-dn.net/?f=x%2B2y%3D30)
![5+2y=30](https://tex.z-dn.net/?f=5%2B2y%3D30)
![2y=25](https://tex.z-dn.net/?f=2y%3D25)
![y=\frac{25}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B25%7D%7B2%7D)
![y=12.5](https://tex.z-dn.net/?f=y%3D12.5)
Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
AC = 6
Step-by-step explanation:
y is the dimension of the horizontal segment (see the attached image).
The hypotenuses are the same dimension, so:
(x+4)^2=(x/2)^2+y^2
(3x-8)^2=(x/2)^2+y^2
So,
(x+4)^2 = (3x-8)^2
x+4 = 3x-8
x-3x = -8-4
-2x = -12
x = 6
And x is the dimension of the segment AC.