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LekaFEV [45]
3 years ago
5

Carter, Michelle, and Jen work at a coffee shop. All three of them worked 6 hours on Monday, Michelle and Jen worked 7 hours on

Tuesday. On
Wednesday, Carter worked 5 hours. On Thursday, Carter and Michelle worked 4 hours, and Jen worked 8 hours. Use a matrix to organize the
number of hours all three employees worked Monday through Thursday
Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

9514 1404 393

Answer:

  see below

Step-by-step explanation:

We have elected to use a table, so that the rows and columns have labels that identify the table content. A matrix can be made from the data in the table.

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Which of the following have the correct solution? Check all
Neko [114]

Step-by-step explanation:

To do this, we will substitute the x values to their corresponding equations,

1)

2x + 5 \\  = 2(7) + 5 \\  = 14 + 5 \\  = 19

Given 2x + 15 = 19

Calculated 2x + 15 = 19

Given = Calculated, this solution is correct.

2)

3 + x + 2 -x \\  = 3 + 3 + 2 - 3 \\  = 8 - 3 \\  = 5

Given 3 + x + 2 - x = 16

Calculated 3 + x + 2 - x = 5

Given not equal to calculated, this solution is incorrect.

3)

\frac{x + 2}{5}  \\  =  \frac{8 + 2}{5}  \\  =  \frac{10}{5}  \\  = 2

Given (x+2)/5 = 2

Calculated (x+2)/5 = 2

Given = Calculated, this solution is correct.

4)

6 = 2x - 8 \\ 2x - 8 = 6

2x - 8  \\  = 2(7) - 8 \\  = 14 - 8 \\  = 6

Given 2x - 8 = 6

Calculated 2x - 8 = 6

Given = Calculated, this solution is correct.

5)

14 =  \frac{1}{3} x + 5 \\  \frac{1}{3} x + 5 = 14

\frac{1}{3} x + 5 \\  =  \frac{1}{3}(18) + 5 \\  =  \frac{18}{3}   + 5 \\  = 6 + 5 \\  = 11

Given 1/3x + 5 = 14

Calculated 1/3x + 5 = 11

Given not equal to Calculated, this solution is not correct.

Therefore the Correct solutions are 1,3 and 4.

8 0
3 years ago
The number of basketball games that must be scheduled in a league with n teams is given by G(n) = (n2 - n)/2 where each team pla
Pani-rosa [81]

Answer:

There are 7 teams in the league

Step-by-step explanation:

Given that the number of games is given by:

G(n) = \frac{(n^2-n)}{2}

The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21

Putting this mathematically

21 = \frac{n^2-n}{2}

Multiplying equation by 2

2*21 = 2*\frac{n^2-n}{2}\\42 = n^2-n\\n^2-n-42 = 0\\n^2-7n+6n-42 = 0\\n(n-7)+6(n-7) = 0\\(n-7)(n+6)=0\\n-7 = 0 => n=7\\n+6=0 => n=-6

As the number of teams cannot be negative, the number of teams in league are 7.

Hence,

There are 7 teams in the league

3 0
3 years ago
At what gas station dose gas cost the least per gallon
myrzilka [38]
To calculate each of these, divide the number of gallons into the total cost for each gas station.

E) $21.18/6= $3.53 per gallon
F) $28.32/8= $3.54 per gallon
G) $35.60/10= $3.56 per gallon
H) $42.60/12= $3.55 per gallon

Gas cost the least at gas station E) $3.53 per gallon


Hope this helped!  :)
3 0
4 years ago
Sam Whittington was the fastest cyclist on record (in 2009) with a speed of 37.5 m/s. Calculate the time taken in hours to cycle
vitfil [10]

Answer:

39.407 hour

Step-by-step explanation:

T = D/S

37.5 m/s in km/h

=375×18/10×5

=135 km/h

T = ABCDEFGHIOJKLMNOPQRSTUVWXYZ

4 0
2 years ago
A group of friends paid a total of 50.24 for tickets to the museum each friend pay the same amount for a ticket how much did eac
Montano1993 [528]

Answer:

50.24 ÷ number of people

Step-by-step explanation:

When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!

4 0
3 years ago
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