Let x = number of pounds of nuts Let y = number of pounds of chocolate candy x + y = 100 x = 100 - y 6x + 3y = 3.90 6(100 - y) + 3y = 3.90(100) 600 - 6y + 3y = 390 -3y = -210 y = 70 pounds x = 100 - y = 30 pounds

Let x = number of pounds of nuts Let y = number of pounds of chocolate candy x + y = 100 x = 100 - y 6x + 3y = 3.90 6(100 - y) + 3y = 3.90(100) 600 - 6y + 3y = 390 -3y = -210 y = 70 pounds x = 100 - y = 30 pounds

Area of regular polygons (answer)

A = (1/2)asn, where "a" is the length of the apothem, "s" is the length of each side, and "n" is the number of sides.

6 - (-3) = 6 + 3 = 9º

Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. Thus, the vertical angles are not also a linear pair.

16 + 7 2/3 = 23 2/3 inches

Let x = the number of child tickets Let y = the number of adult tickets x + y = 14 x = 14 - y 5x +9y = 110 5(14 - y) + 9y = 110 70 - 5y + 9y = 110 4y = 40 y = 10 x = 14 - 10 = 4

quadratic question (answer)

h = -16t2 + 112t 0 = -16t2 + 112t 0 = -16t(t - 7) t - 7 = 0 t = 7 seconds

quadratic question (answer)

There was no figure below. Let w = the width Let w + 7 = the length A = lw 21 = w(w + 7) 21 = w2 + 7w w2 + 7w - 21 = 0 Use the quadratic formula. w = -7 ± √[72 - 4(1)(-21)] ...

Let x = the number or green sweets Let x + 8 = the number of red sweets red/green: (x + 8)/x = 5/3 Cross multiply 5x = 3(x + 8) 5x = 3x + 24 2x = 24 x = 12 green sweets

ml/cost: 50/4.39 = 10/x Cross multiply 50x = 43.9 x ≈ $.88 Do them all the same way.

A = lw A = 2(4) A = 8 3A = 3(8) = 24 feet2

Let x = the cost of the pencil Let x + .80 = the cost of the pen Let 4(x + .80) = the cost of the binder x + x + .80 + 4(x + .80) = 11.80 2x + .80 + 4x + 3.20 = 11.80 6x + 4.00 = 11.80 6x = 7.80 x = $1.30 x +...

Let w = the width Let w + 7 = the length P = 2l + 2w 42 = 2(w + 7) + 2w 42 = 2w + 14 + 2w 28 = 4w 7 = w length = 14 A = lw A = 14(7) A = 98 units2

1000 for 3 years at 5% (answer)

I guess your question is how much money will he have at the end of three years. A = P(1 + r/n)nt A = 1000(1 + .05/2)2(3) A = 1000(1.025)6 A = 1000(1.1597) A = $1159.69

What are the angles? (answer)

Let x = the angle Let 90 - x = the complement Let 180 - x = the supplement 5(90 - x) = 2(180 - x) + 6 450 - 5x = 360 - 2x + 6 -3x = -90 x = 30º 90 - x = 60º 180 - x = 150º

Let w = the width Let w - 11 = the length A = lw 102 = w(w - 11) 102 = w2 - 11w w2 - 11w - 102 = 0 (w - 17)(w + 6) = 0 w - 17 = 0 w + 6 = 0 w = 17 cm w = -6 (illogical answer) l...

10(m - 100) + 35 = 75 10m - 1000 + 35 = 75 10m - 965 = 75 10m = 1040 m - 104

how many pounds of apples are bad? (answer)

(2/4)(2/3) = 4/12 = 1/3

28 + 91 + 49 = 7(4 + 13 + 7) = 7(24) = 168

Let x = the amount of sugar needed Sugar/flour: 1/4 = x/5 4x = 5 x = 5/4 cups