Answer:
length=10 ft
width=5 ft
Step-by-step explanation:
10×5=50
10÷2=5
And then what? The other side is 2 3/4 long
Milk (m) , butter (b)
m + b = 70.4
b = 30.6
m + 30.6 = 70.4
m = 70.4 - 30.6
m = 39.8 mL of milk are needed
Answer:
The fraction of tiles that will be the color of "sand" is 23/60
Step-by-step explanation:
we know that
The sum of the fractions of the tiles must be equal to 1
Let
x ----> the fraction of tiles that will be the color of "sand"
we have that
![\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B5%7D%2Bx%3D1)
solve for x
Find the Least Common Multiple of denominators
![LCM=(2^2)((3)(5)=60](https://tex.z-dn.net/?f=LCM%3D%282%5E2%29%28%283%29%285%29%3D60)
Multiply both sides by 60
![\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B4%7D%2B%5Cfrac%7B60%7D%7B6%7D%2B%5Cfrac%7B60%7D%7B5%7D%2B60x%3D60)
simplify
![15+10+12+60x=60](https://tex.z-dn.net/?f=15%2B10%2B12%2B60x%3D60)
![60x=60-37\\60x=23\\x=\frac{23}{60}](https://tex.z-dn.net/?f=60x%3D60-37%5C%5C60x%3D23%5C%5Cx%3D%5Cfrac%7B23%7D%7B60%7D)
therefore
The fraction of tiles that will be the color of "sand" is 23/60
Step-by-step explanation:
We need to factorise 3x
2
−12xy
Here we can take 3x common.
Thus we have 3x
2
−12xy=3x(x−4y)
Hence, factors are 3x,(x−4y).