Step-by-step explanation:
![area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.](https://tex.z-dn.net/?f=area%20%5C%3A%20of%20%5C%3A%20rectangle%20%5C%3A%20%20%3D%2060%20%5C%3A%20%20%7Byards%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%28w%20%2B%204%29%20%5Ctimes%20%5C%3A%20w%20%3D%2060%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%7Bw%7D%5E%7B2%7D%20%20%2B%204w%20-60%20%3D%200%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%7Bw%7D%5E%7B2%7D%20%20%2B%2010w%20-%206w%20-60%20%3D%200%20%5C%5C%20%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%20w%28%7Bw%7D%20%2B%2010%29%20-%206%28w%20%20%2B%2010%29%3D%200%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%28%7Bw%7D%20%2B%2010%29%20%28w-%206%29%3D%200%20%5C%5C%20%5Ctherefore%20%5C%3A%20%7Bw%7D%20%2B%2010%20%3D%200%20%5C%3A%20or%20%5C%3A%20w-%206%20%3D%200%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%7Bw%7D%20%20%20%3D%20-%20%2010%20%20%5C%3A%20or%20%5C%3A%20w%20%3D%20%206%20%20%5C%5C%20%20%5Cbecause%20%5C%3A%20sides%20%5C%3A%20of%20%5C%3A%20rectangle%20%5C%3A%20cant%20%5C%3A%20be%20%5C%3A%20negative%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20w%20%5Cneq%20%5C%3A%20%20%20%20-%2010%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20w%20%3D%206%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20w%20%2B%204%20%3D%206%20%2B%204%20%3D%2010%20%5C%5C%20%20%5C%5C%20length%20%5C%3A%20of%20%5C%3A%20rectangle%20%5C%3A%20%20%3D%2010%20%5C%3A%20yards.)
Answer:
16/63
Step-by-step explanation:
240 eggs were bought. A trick you can do when it’s 25% is 4. So for this I multiplied 60 by 4 which would give the 100%
Answer:
x=8
Step-by-step explanation:
3(x+4)=36
Divide each side by 3
3/3 (x+4)=36/3
x+4 = 12
Subtract 4 from each side
x+4-4 = 12-4
x = 8
Answer:
x ≈ 0.693
Step-by-step explanation:
Using the rule of logarithms
log
⇔ n log x and lne = 1
Given
2
= 4 ( divide both sides by 2 )
= 2 ( take the ln of both sides )
ln
= ln2, that is
x lne = ln2, thus
x = ln2 ≈ 0.693 ( to 3 dec. places )