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Eddi Din [679]
3 years ago
5

Solve 20 - x/3 = x/2 , put the number only in the box.

Mathematics
2 answers:
Bogdan [553]3 years ago
5 0

Answer:

X=24

Step-by-step explanation:

20=x/2+x/3

20=1/2x +1/3x

20=5/6x

20÷5/6=x

X=24

Nikitich [7]3 years ago
4 0

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

20 -  \frac{x}{3}  =  \frac{x}{2}

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

6 \times 20 - 6 \times  \frac{x}{3}  = 6 \times  \frac{x}{2}  \\ 120 - 2x = 3x

Using the addition property add 2x to both sides of the equation

That's

3x + 2x = 120 + 2x - 2x \\ 5x = 120

<u>Divide both sides by 5</u>

\frac{5x}{5}  =  \frac{120}{5}

We have the final answer as

<h3>x = 24</h3>

Hope this helps you

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Ne4ueva [31]
10x + 19.95 = 139.95

Subtract 19.95 from both sides
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3 years ago
A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting
Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= \frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees}  = \frac{6}{15}

b.) The probability that a secretary wins a ticket on second draw.  It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant  wins on first draw)

=\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}

= \frac{\frac{5}{15}  \times \frac{6}{14}}{\frac{5}{15} }  = \frac{6}{14}  .

The probability that  a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw  = \frac{6}{15} is not true.

The probability that a secretary wins on the second draw  = \frac{number \hspace{0.1cm} of  \hspace{0.1cm} secretaries  \hspace{0.1cm} remaining } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} remaining}  = \frac{6 - 1}{15 - 1}  = \frac{5}{14}

c.) The probability that a consultant wins on the first draw  =

\frac{number \hspace{0.1cm} of  \hspace{0.1cm} consultants  \hspace{0.1cm}  } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} }  = \frac{5 }{15}  = \frac{1}{3}

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= \frac{6}{15}  \times \frac{5}{14}  = \frac{1}{7}

Therefore the only statement that is not true is b.)

5 0
3 years ago
What is the value of the product (3 – 2i)(3 + 2i)?
eimsori [14]

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

Expand

(9 + 6i - 6i - 4i^2)

Add

(9 - 4i^2)

Convert i^2

i^2 = (\sqrt{-1})^2 = -1

(9 - 4(-1))

Add

(9 + 4)

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6 0
3 years ago
Read 2 more answers
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katrin2010 [14]

Answer:

SEE BELOW

Step-by-step explanation:

1 - 12000 ft

2 - 10 minutes

3 - The third segment in he graph is not as steep as the first segment because the flight took more time to lose altitude than the time taken to gain altitude.

<em>Hope it helped</em>

3 0
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alexgriva [62]

Answer:

640 ounces

Step-by-step explanation:

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640 /100 = 6.4 ounces per balloon

3 0
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