Answer:
Therefore, Option 1st is correct.
Step-by-step explanation:
We have given that a=1 and b=1
We need to find expression equivalent to the given expression
We have:
We have a logarithmic property:
(1)
Here, we have m=a, x=y and n=b on substituting the values in (1) we get:
Therefore, Option 1st is correct.
And when a=1 and b=1 we get:
Hello there! So, the room is $40 to rent, and it costs $12 per person. To solve this, we can write and solve an equation. Set it up like this:
40 + 12g = 100
This is because Milli has $100 to spend. $40 is the fixed cost and the $12 goes up based in the number of guests. Let’s start off by subtracting 40 from both sides. 40 - 40 cancels out. 100 - 40 is 60. That leaves us with 12g = 60. Now, divide each side by 12 to isolate the g. 12g/12 cancels our. 60/12 is 5. There. g = 5. Milli can invite 5 guests to her party.
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
