The temperature dropped 3 degrees per hour for a total decrease of 51 degrees for how many hours did the temperature drop

Mathematics

1 answer:

Thepotemich [5.8K]4 years ago

5 0

The temperature dropped for 17 hours

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a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1

enyata [817]

Let's firstly convert the mixed fraction to "improper" and then proceed,

$\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}$

$\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
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Find the area of the composite figure. (round to the nearest hundredth)

8090 [49]

We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h
where
b=the base
h=the height
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²
where
r=the radius
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the figure is a half circle
then
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is
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Answer:

2, 5, 8

Step-by-step explanation:

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