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SashulF [63]
3 years ago
14

a game store had 837 amiibo they were trying to sell. they sold 5/9 at normal price. then sold 3/4 of the ones that were left at

a discount. how many amiibo did they have left after selling the discount ones ?
Mathematics
1 answer:
morpeh [17]3 years ago
6 0
837 total

they sold 5/9 at normal price

5/9(837) = 4185/9 = 465 were sold at normal price

they sold 3/4 of the remaining ones.....remaining ones are : (837 - 465) =
372.....so they sold (3/4 * 372) = 1116/4 = 279 at a discount price

so after the discount ones were sold, they had (837 - 465 - 279) = 93 remaining
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Find the volume of the composite figure below:<br> 5 in<br> 8 in<br> 6 in<br> 10 in
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Answer:

716in³

Step-by-step explanation:

The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.

For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>

For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.

To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.

235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>

<u><em>Hope this helps.</em></u>

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Which of the following is a true statement?
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Determine the solution set of x2 - 80 = 0.<br><br> {± }<br> {±4 }<br> {±2 }
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Answer:  \Big\{\pm 4\sqrt{5} \Big\}

This is the shorthand way of writing \Big\{4\sqrt{5}, -4\sqrt{5} \Big\}

=====================================================

Work Shown:

x^2 - 80 = 0\\\\x^2 = 80\\\\x = \pm\sqrt{80}\\\\x = \pm\sqrt{16*5}\\\\x = \pm\sqrt{16}*\sqrt{5}\\\\x = \pm4\sqrt{5}\\\\x = 4\sqrt{5} \ \text{ or } \ x = -4\sqrt{5}\\\\

The plus or minus is needed because squaring a negative leads to a positive. As another example, x^2 = 25 has x = 5 and x = -5 as the two solutions. Note that x^2 = (-5)^2 = (-5)*(-5) = 25.

Also, note that the 80 was broken up into 16*5. This was done to simplify the square root. We pull out the largest factor that's a perfect square.

So that's how we get to the solution set \Big\{\pm 4\sqrt{5} \Big\}. The curly braces tell the reader that they are dealing with a set.

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