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Gnesinka [82]
2 years ago
8

In a fireplace, about 3/4 of an 18 inch log will burn in 1/3 of an hour. How many hours will it take to burn 2 1/2 logs

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0
\bf \begin{array}{ccll}
\stackrel{burned}{log}&\stackrel{time}{hr}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3}{4}&\frac{1}{3}\\\\
2\frac{1}{2}&h
\end{array}\implies \cfrac{\frac{3}{4}}{2\frac{1}{2}}=\cfrac{\frac{1}{3}}{h}\implies \cfrac{\frac{3}{4}}{\frac{2\cdot 2+1}{2}}=\cfrac{\frac{1}{3}}{\frac{h}{1}}

\bf \cfrac{\frac{3}{4}}{\frac{5}{2}}=\cfrac{1}{3}\cdot \cfrac{1}{h}\implies \cfrac{3}{4}\cdot \cfrac{2}{5}=\cfrac{1}{3h}\implies \cfrac{6}{20}=\cfrac{1}{3h}\implies 6\cdot 3h=20\cdot 1
\\\\\\
18h=20\implies h=\cfrac{20}{18}\implies h=\cfrac{10}{9}\implies h=1\frac{1}{9}

about 1 hour and 6 minutes with 36 seconds.
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Which of the following expressions are equivalent to 6.53 - (-4.11) + 7.926.53?
umka21 [38]

Answer:

Choice B and Choise C.

Step-by-step explanation:

Equivalent expressions are those expressions that have the same value but they look different.

Given the following expression provided in the exercise:

6.53 - (-4.11) + 7.92

You need to remember the multiplication of signs in order to find the equivalent expressions:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Then:

- Eliminating the parentheses, you get this equivalent expression:

6.53 +4.11 + 7.92

- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:

-(-6.53)+4.11-(-7.92)

This is an equivalent expression to 6.53 - (-4.11) + 7.92

8 0
2 years ago
find the measure of angle A using your correct answer from questions 1 2 or 3 A 45 B 36.9 C 53.1 D 35.2​
Delicious77 [7]

Answer:

about 37, so probably B

Step-by-step explanation:

tg a = 3/4

tg a = 0.75

5 0
2 years ago
The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen
Alex Ar [27]
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
4 0
3 years ago
Read 2 more answers
-(-2) and -/-2/ simplify to different numbers
kow [346]
I suppose the / are absolute value lines.... so ill answer it that way, -(-2) simplifies to 2. -/-2/ simplifies to -2
7 0
3 years ago
The quantity demanded x for a product is inversely proportional to the cube of the price p for
Harrizon [31]
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000

x = 125000/p^3

The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3

Therefore the price that will yeaild maximum profit is $3.
6 0
3 years ago
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