• How do you write the mixed number shown as a fraction greater than l? 3 4
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Answer:
I spend 8 hours in a day in sleeping.
Step-by-step explanation:
Given that I sleep 33% time of a day.
Now, one day is equivalent to 24 hours.
So, I have to find the number of hours approximately in a day that I spend sleeping.
Now, 33% of 24 hours = hours.
Therefore, I spend 7.92 ≈ 8 hours a day in sleeping. (Answer)
<h2>Answer:</h2>
a.) <u>Exact result: 10.9375. Approximate: 11 quarts of heavy cream</u>.
b.) <u>Exact result: 65.625. Approximate: 66 eggs</u>.
c.) <u>Exact result: 43.75. Approximate: 44 lemons</u>.
<h2>Step-by-step explanation:</h2><h3>a.) How many quarts of heavy cream will you need?</h3><em>If 400 guest will consume 1.75 pastries, then the total of pastries is:</em>
<em>If one quarter of the pastries will have 2 ounces of lemon filling, then the amount of pastries that will ahve this filling is:</em>
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<em>If 175 will have 2 ounces of lemon filling, then the ounces of lemon filling needed is:</em>
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<em>Then, the mass, in pounds, of lemon filling needed is:</em>
<em>To find the quarts of heavy cream needed, set up a rule of 3 like this:</em>
<em>2 pounds of filling ------------ 1 quart of heavy cream</em>
<em>21.875 pounds of filling ----- x</em>
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The amount of quarts of heavy cream needed is, approximately, 11.
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<h3>b.) How many dozen eggs should you order?</h3><em>Do the same rule of 3 as in question 1, except that now we substitute the ingredient and que quantity:</em>
<em>2 pounds of filling ------------ 6 eggs</em>
<em>21.875 pounds of filling ----- x</em>
The amount of eggs needed is, approximately, 66.
<h3>c.) A lemon will yield 2 ounces of juice. How many lemons should you order?</h3>
<em>First, let's find out how many cups of lemon juice are needed through a rule of 3.</em>
<em>2 pounds of filling ------------ 1 cup of lemon juice</em>
<em>21.875 pounds of filling ----- x</em>
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<em>Now, convert the cups to ounces.</em>
10.9375 cups * 8= 87.5 ounces.
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<em>Set up another rule of 3 to determine the number of lemons.</em>
<em>2 ounces ------------ 1 lemon</em>
<em>87.5 ounces ----- x</em>
<em />
The amount of lemons needed is, approximately, 44.
Answer:
Step-by-step explanation:
If you aren't supposed to do this on your calculator, then you'd have to figure out a way to get the bases of 10 to have the same power somehow in order to use the properties of exponents. This is the problem (you multiply the 2 dimensions together to find area, remember):
You cannot simply add the exponents on the 10's and say your power is 9...cuz it's not. It needs to be rewritten so that there is a power of 4 on the 10 in the parenthesis on the left. Do that this way:
Now you've got a common power of 4 between the 2 sets of parenthesis. 10 to the first is the same as 10, so multiplying that into the 5.5 gives us
55 * 4.2 is 231 and 10 to the 4th times 10 to the 4th is 10 to the 8th.
But that's not in correct scientific notation. If we move the decimal to places to the left, we have to add 2 to the exponent of 8, giving us, finally,
Next use the hint to convert that to kilometers:
Dividing like bases means we subtract the lower exponent from the upper. 10 - 6 = 4, so the equivalent number of km squared is
2.31 × 10⁴ km²
Kilometers are comparable to miles, which is how we measure large things, like pieces of land. So it would be better to measure the forest in kilometers squared instead of meters squared.