Step-by-step explanation:
Given
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Will the opposite of a positive number always sometimes or never be a positive number
2 answers:
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The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
<h3>What is of volume of rectangular prism?</h3>Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
Learn more about the volume of a rectangular prism here;
Answer:
25 one-dollar coins, 16 half-dollar coins, and 164 quarters
Step-by-step explanation:
First, set up equations based on the information given:
Then, substitute <em>q</em> in the first equation with the expression from the third equation:
Next, substitute <em>h</em> in that equation with the expression from the second equation:
Solve for <em>d</em>, the number of one-dollar coins:
Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:
Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:
Then, verify that the coins total $74:
Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:
Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together: