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erastova [34]
3 years ago
12

Solving multi step equations 5/6k + 2/3 = 4/3

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

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Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c
GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used  \frac{1}{4} of the tickets on the video games.

The percentage form of any number x is

=100\times x \%

The percentage form of \frac{1}{4} is

=\frac{1\times  100}{4} \%

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Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

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8 0
3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel
otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

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Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

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a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

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3 years ago
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