I need an answer and a explanation so I can do the rest of them

9514 1404 393

  equations: q+n = 103; 0.05n +0.25q = 8.75

  solution: q=18; n=85

Step-by-step explanation:

Write one equation for the number of coins:

  q+n=103.

Write another equation for the value of the coins:

  0.05n +0.25q = 8.75.

It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.

  0.05(103 -q) +0.25q = 8.75

  5.15 +0.20q = 8.75

  0.20q = 3.60

  q = 18

  n = 103 -18

  n = 85

Wes has 18 quarters and 85 nickels.

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: