The sum of three numbers is 10. Two times the second number minus the first number is equal to 12. The first number minus the second number plus twice the third number equals 7. Find the numbers.

9514 1404 393

  (-2, 5, 7)

Step-by-step explanation:

The problem statement lets us write three equations for the three numbers x, y, and z.

  x + y + z = 10

  -x + 2y = 12

  x - y + 2z = 7

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Adding the second equation to each of the other two gives ...

  3y +z = 22

  y +2z = 19

Subtracting the second of these from double the first gives ...

  2(3y +z) -(y +2z) = 2(22) -(17)

  6y +2z -y -2z = 44 -19

  5y = 25

  y = 5

  z = 22 -3(5) = 7 . . . . . . from 3y+z=22

  x = 10 -5 -7 = -2 . . . . . .from x+y+z=10

The numbers are (x, y, z) = (-2, 5, 7).

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.