Answer:
Take a glass, and fill it completely with water.
Now, pour that water in a marked bowl and measure how much water is in the bowl, that amount of water will be 100% of the total water that the glass can have.
Now you need to pour 3/5 of the water back in the glass, it is easier for water until the water in the bowl is exactly 2/5 of the initial amount.
You can do this as follows.
2/5 = 0.4 or 40% in percentage form.
Then if the amount of water in the marked bowl is A, the amount of water that must remain in the marked bowl is A*0.4
Then drop the water in the glass until the water in the marked bowl is the quantity that you found previously.
In this way, you can be sure that the glass is 3/5 full of water.
Answer:
The square root of this value is 171
Step-by-step explanation:
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Answer:
48 grams
Step-by-step explanation:
pretzels : peanuts : cheese sticks
8 : 5 : 1
64 g : ? g : ? g
grams of peanuts = 5*64 / 8 = 40 g
grams of cheese sticks = 64*1 /8 = 8 g
<u>grams of peanuts and cheese sticks</u> = 40 + 8 = 48 grams
X= -1 t= 7
4(3x-1)=3+8x-11
12x-4=3+8x-11
12x-8x=4+3-11
4x= -4
\4. \4
x= -1
2t+4+5t=6t+11
2t-6t+5t=-4+11
1t=7
\1. \1
t=7
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
