Solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15

9514 1404 393

  (x, y) = (-1/2, 3/4)

Step-by-step explanation:

A graphing calculator does a nice job of finding the solution.

  (x, y) = (-1/2, 3/4)

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You can eliminate y by adding twice the second equation to the first.

  (2x +8y) +2(24x -4y) = (5) +2(-15)

  50x = -25

  x = -1/2 . . . . . . divide by 50

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  24(-1/2) -4y = -15 . . . . .substitute for x in the second equation

  -4y = -3 . . . . . . . . . add 12

  y = 3/4 . . . . . . . . . divide by the coefficient of y

The solution is (x, y) = (-1/2, 3/4).

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

answer: jasmine will bake 4/3 or 1 1/3 cookies in an hour

step-by-step explanation:

if u add 1/3 every 15 minutes after an hour u will have 4/3 or 1 1/3