Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
log(x)/k = log(x^(1/k))
<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
=</span>log(2z)+log(4x^2)+log(9^4y^4)+log(9^12x^12)−log(4y^2)
=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
=log(59296646043258912 * x^14 * y^6 * z)
32 miles is the same as 19.8839 kilometers
There are 3.78541 liters in a gallon
Now we divide the two.
19.8839 / 3.78541 ≈ 5.25
The American car gets 5.25 km per liter. So the European car is better on gas economy.
I believe it’s 5xy since all the numbers are factors of five and since each number contains the variables xy.
Answer:
Option A. 2
Step-by-step explanation:
To solve this problem we can write equations for each shirt color.
Let's call:
b = black shirts
g = gray shirts
w = white shirts
B = brown shirts
If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:
(i)
If you have 5 times more white shirts than gray shirts and gave a white shirt then:
(ii)
It has 2 times more gray shirts than brown camsas, then:
(iii)
It has the same amount of black and white shirts
(iv)
We want to find the number of gray shirts.
Then replace (iv) in (ii)
(v)
Now substitute (v) into (i) and clear g.
Joan has 2 gray shirts
To round to the nearest thousand, we check the digit in the hundreds place. If it is less than 5, we round down, else we round up to the next thousand.
In this case, the digit in the hundreds place is "6" and "6" is 5 or more, so we round up to the next thousand.
15 680 ≈ 16 000
