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Cerrena [4.2K]
3 years ago
7

0.83 compared 83/100

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
" 0.83 " MEANS " 83/100 ". They are identical quantities, because they are the SAME quantity.
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What is the property of 6x=72
EleoNora [17]
72/6 = 12
The awnser is x = 12
5 0
3 years ago
A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
The forest hiking trail is 3.5 miles long. The lake trail is 2.5 times longer than the forest trail. What is the length of the l
Marat540 [252]
The length of the lake trail is 1.0miles
6 0
3 years ago
Read 2 more answers
The radius is 6 and the height is 15 what is the volume in terms of pi the shape is a cone
Alenkinab [10]

Answer:

565.49 or if rounded to the nearest tenth, 565.5

Explanation:

The formula for finding the volume of a cone is V=1/3Bh

B = pi times the radius squared

h = height

Substitute 6 for r and 15 for h.

V= 1/3·\pi·(6^{2})·15

Multiply.

V= 565.49 or 565.5 rounded to the nearest tenth.

4 0
2 years ago
Perfect Pizza has 12 toppings listed on their menuHow many ways could customer choose a pizza that contains 4 different toppings
Feliz [49]

Answer:

3

Step-by-step explanation:

i would say 3 different ways because 4 x 3 = 12

Hope this helps!

6 0
2 years ago
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