Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Given that
log (x+y)/5 =( 1/2) {log x+logy}
We know that
log a+ log b = log ab
⇛log (x+y)/5 =( 1/2) log(xy)
We know that log a^m = m log a
⇛log (x+y)/5 = log (xy)^1/2
⇛log (x+y)/5 = log√(xy)
⇛(x+y)/5 = √(xy)
On squaring both sides then
⇛{ (x+y)/5}^2 = {√(xy)}^2
⇛(x+y)^2/5^2 = xy
⇛(x^2+y^2+2xy)/25 = xy
⇛x^2+y^2+2xy = 25xy
⇛x^2+y^2 = 25xy-2xy
⇛x^2+y^2 = 23xy
⇛( x^2+y^2)/xy = 23
⇛(x^2/xy) +(y^2/xy) = 23
⇛{(x×x)/xy} +{(y×y)/xy} = 23
⇛(x/y)+(y/x) = 23
Therefore, (x/y)+(y/x) = 23
Hence, the value of (x/y)+(y/x) is 23.
Answer:
108 ft²
Step-by-step explanation:
Increasing by 50% means multiplying the original quantities by 1.5, that is
100% + 50% = 150% = 1.5 ( 100% is the original dimensions ), thus
new length = 1.5 × 8 ft = 12 ft
new width = 1.5 × 6 ft = 9 ft
Thus
Area = length × width = 12 × 9 = 108 ft²
She has to make 400 in order to raise $200 because if she was selling them for $1 she would need 200 so just double that since she's only selling them for $0.50
Answer: Use a bar or a number line. Try my example with -6.
Step-by-step explanation: Example: x + 2 > 12
Subtract 2 from both sides:
x + 2 − 2 > 12 − 2
Simplify:
x > 10
Solved^
