Answer: £ 8
Step-by-step explanation:
Total hours Lena works from Monday to Friday = 34 hours
Hours she works on Saturdays = 4
Overtime rate of Saturday = 1.5 times her normal rate
Let x be the normal rate.
Then , Her total earning =
Since her total earnings for week = £ 320
So,
Thus, her normal rate of pay per hour = £ 8
Hannah has liters of oil left in the bottle.
Step-by-step explanation:
Given,
Quantity of oil in bottle = 4 liters
Quantity used by Hannah =
We will subtract the quantity used from the total quantity.
Oil left = Total oil - Oil used
Taking LCM
Hannah has liters of oil left in the bottle.
Keywords: fraction, subtraction
Learn more about fractions at:
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Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that ; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this: , so
)