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steposvetlana [31]
2 years ago
13

(-11/20) ÷ (-4/16) =

Mathematics
2 answers:
makvit [3.9K]2 years ago
7 0

Answer:

2.2

Step-by-step explanation:

Pachacha [2.7K]2 years ago
5 0

Answer:

\boxed{\sf \cfrac{11}{5}\:\: or \:\: 2.2}

Step-by-step explanation:

\sf \left(\cfrac{-11}{20}\right)\div \left(\cfrac{-4}{16}\right)

Apply fraction rule:

\boxed{\sf\cfrac{a}{b}\div\cfrac{c}{d}  =\frac{a\times \:d}{b\times \:c}}

\longmapsto\sf \cfrac{-11\times \:16}{20\left(-4\right)}

Cancel the common factor of 16 and 20:

\longmapsto\sf \cfrac{-11\times4}{5\times(-4)}

Cancel common factor of 4 and  −4:

\longmapsto\sf \cfrac{-11}{5\times (-1)}

Multiply 5 by -1:

\longmapsto\sf \cfrac{-11}{-5}

Dividing two negative values gives a positive value:

\longmapsto\sf \cfrac{11}{5}

Or

\longmapsto\sf 2.2

________________________________

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3 years ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
2 years ago
Lexi operates an orange juice stand. On Monday she used 4 bags of oranges. On Tuesday she used 1/2 as many oranges as on Monday.
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4 0
2 years ago
Which statement about the function f(x)=|x+3| is true?
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The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

Learn more about absolute maximum and minimum here :

brainly.com/question/17438358

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5 0
9 months ago
Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w
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Answer

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2 years ago
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