A bag contains coins consisting of quarters and dimes. The total value of the coins is $8.65. There are 6 more
dimes than quarters. Which system of equations can be
used to determine the number of quarters, x, and the
number of dimes, y, in the bag?
x = y + 6 & 25x + 10y = 865
y = x + 6 & 10x + 25y = 8.65
10 = x +y & .25x + .10y = 8.65
y = x + 6 & 25x + 10y = 8.65

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

table 3 represents a direct variation function. : )

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45