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12345 [234]
2 years ago
13

Simplify the following expression. 3^11/5 / 3^-9/5

Mathematics
1 answer:
Bess [88]2 years ago
8 0

Answer:

81

Step-by-step explanation:

\frac{3^{11/5}}{3^{-9/5}}  can be written as 3^{11/5} × 3^{9/5}

= 3^{20/5}

=3^4

= 81

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A restaurant chef made 2 7/10 jars of pasta sauce. Each serving of pasta requires 9/10 of a jar of sauce. How many servings of p
Kisachek [45]

The chef will be able to prepare 3 servings of pasta because if you take one away from a whole number you have 9/10ths so you do that process again you have 2 servings but, you have 2 tenths left over so you add that to the 7 tenths.

Hope this helps :)

6 0
3 years ago
What is the answer? Reduce 981/387
Sergeu [11.5K]
\frac{981}{387}\\\\981\to9+8+1=18-is\ divisible\ by\ 9\\\\387\to3+8+7=18-is\ divisible\ by\ 9\\\\\frac{981:9}{387:9}=\frac{109}{43}\\\\109\ and\ 43\ are\ the\ prime\ numbers\\\\Answer:\boxed{\frac{981}{387}=\frac{109}{43}=2\frac{23}{43}}
7 0
4 years ago
Read 2 more answers
The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a
Marysya12 [62]
<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

3 0
2 years ago
If four times a certain number, increased by 6 is equal to 49, what is the number
Studentka2010 [4]

Answer:

Step-by-step explanation:

6 0
4 years ago
What is the length of AB?
Xelga [282]

Answer:

<em>AB = 7.35 cm</em>

Step-by-step explanation:

From the attachment,

In ΔDEF,

DF = GH-(GD+FH) = 6 - (2+3) = 1 cm

DE = 2+3 = 5 cm (sum of two radius)

Applying Pythagoras theorem,

EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6

In ΔCDI,

DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm

CD = 2+1.5 = 3.5 cm (sum of two radius)

Applying Pythagoras theorem,

CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6

AB = EF + CI = 2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm

6 0
4 years ago
Read 2 more answers
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