Answer:
9 and 2/5 gallons
Step-by-step explanation:
34 x 9 gallons = 306 miles
14 / 34 = 4/10 of the gallons
4/10 simplified = 2/5
Answer: 9 2/5
Answer:
<u>The percentage loss per gallon is 23.17%</u>
Step-by-step explanation:
Original price per gallon = $ 2.59
Discounted price per gallon = $ 1.99
Now, let's calculate the percentage loss per gallon, using the Direct Rule of Three, as follows:
Price Percentage
2.59 100
1.99 x
*****************************
2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
Percentage loss = 100 - 76.83
<u>Percentage loss = 23.17%</u>
Answer:
D.
Step-by-step explanation:
p=3s
p=3(16)
p=48 pencils
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)
Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.
