a contruction company can remove 1/4 metric tons of dirt from a construction site in 1/8 hours what is the unit rate in metric t
1 answer:
Answer:
2 metric tons in an hour.
Step-by-step explanation:
The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.
Formula
Rate = Tons removed / hours
Tons Removed = 1/4 metric ton
Time taken = 1/8 hour
Rather than doing it with fractions, it is much easier to do it with decimals
1/4 = 0.25
1/8 = 0.125
Now what you get is rate = 0.25 / 0.125 = 2
So 2 metric tons can be removed in an hour
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Answer:
B
Step-by-step explanation:
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Thus, the answer is B.
9514 1404 393
Answer:
A. √13
Step-by-step explanation:
You can make an educated guess and come to the right conclusion.
The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.
So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:
__
A -- between 3 and 4, the correct choice
B -- 3, too short
C -- 1.73, too short
D -- more than 4, too long
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The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.
c = √(a^2 +b^2 -2ab·cos(C))
c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)
c = √13 . . . . . length of the side opposite the 60° angle
For the sake of example, let's multiply the two numbers 
and 
together. Altogether, we have:
Rearranging the expression, we can group the exponents and coefficients together:
Multiplying each out, we notice that since
and 
have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:
The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
Rearranging the expression, we can group the exponents and coefficients together:
Multiplying each out, we notice that since
The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.