# Henry2,

Newest questions and responses by Henry2,-
## Algebra

I'm assuming 1/4x means (1/4)x or x/4. Y = -x + 5. Y = x/4 + 10. In Eq2, replace Y with -x + 5: -x + 5 = x/4 + 10 Multiply both sides by 4 and solve for x: -4x + 20 = x + 40. -5x = 20, X = -4. In Eq1, replace x with -4 and solve for Y: Y = -(-4) + 5 = 9.

*posted on January 19, 2019* -
## Math

a. 75 = (73+82+73+77+77+G)/6 < 80. 75 = (382 + G)/6 < 80, Multiply by 6: 450 = (382+G)

*posted on January 19, 2019* -
## Math

As = 45/360 * pi*r^2 = 45/360 * pi*144 = 18pi in.^2.= Sector area.

*posted on January 18, 2019* -
## Physics

Wavelength = V * 1/F = V/F = 331/15 = 22.07 m. Note: 15 Hz means 15 cycles/second. The wall sockets in our homes are 60 cycles/second(cps). 9 cps).

*posted on January 18, 2019* -
## math

8.000/532 = 0.015

*posted on January 18, 2019* -
## math

94.00 + 15 + 182.113 = 291.113.

*posted on January 18, 2019* -
## math

305*10^-5/250.75 = 1.21635*10^-5 = 0.0000121635.

*posted on January 18, 2019* -
## Math

(-4, 6), (x, y), m = 3/4. m = (y-6)/(x-(-4)) = 3/4. cross multiply: 4(y-6) = 3(x+4), y-6 = 3/4(x+4).

*posted on January 18, 2019* -
## physics

Given: M1 = 5000kg, Vi = 3m/s. M2 = 2500kg, V2 = 0 before taut. V3 = Velocity of M1 after taut(tight). Momentum before taut = Momentum after taut. M1*V1 = (M1+M2)V3. 5000 * 3 = 7500*V3, V3 = 2 m/s. Note: The car is not a part of the system until the rope

*posted on January 17, 2019* -
## algebra

m1 = -A/B = 3/6 = 1/2. m2 = -A/B = 3/6 = 1/2. So the lines are parallel, because they have equal slopes. Parallel lines do not intersect. Therefore, there are no solutions.

*posted on January 16, 2019* -
## Math

Tax = 98 * 7.65%/100% = $7.50. Tax = 240 * 7.65%/100% = Tax = 150 * 7.65%/100% =

*posted on January 15, 2019* -
## math

Paycheck = $X. Cost of coat = $X/4. x - x/4 = 96. 4x - x = 384, X = 128. x/4 = 128/4 = $32.

*posted on January 15, 2019* -
## Math

6ft.-1in = 6 1/12 Ft. = 6.0833 Ft. = Actual width. Scale = 6.0833ft/4in = 1.52 Ft./in.

*posted on January 15, 2019* -
## Math

756ft. * 1in/280ft. =

*posted on January 15, 2019* -
## Math

Answer: B.

*posted on January 15, 2019* -
## algebra

Length = L. Width = 2L-3. A = L * W = 170. L * (2L-3) = 170. 2L^2 - 3L - 170 = 0, L = (-B +- Sqrt(B^2-4AC))/2A. L = (3 +- Sqrt(9 + 1360))/4, L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In. Use positive value: L = 10 In.

*posted on January 14, 2019* -
## Math

90/6 * T = 300. 90T = 1800, T = Time in days.

*posted on January 14, 2019* -
## algebra

99 = 1/2(2h+4)h. 99 = (h+2)h, 99 = h^2 + 2h, h^2 + 2h - 99 = 0. Solve for h: h = (-B +- Sqrt(B^2-4AC))/2A. h = (-2 +- Sqrt(4 + 396))/2, h = (-2 +- 20)/2 = -1 +- 10 = 9, and -11 Ft. Use the positive number: h = 9 Ft.

*posted on January 14, 2019* -
## Maths

Note: The first line of my response should be Eq1: x * y = 21.

*posted on January 14, 2019* -
## Maths

Eq1: x * y = 21.In Eq1, replace X with y = 21/x. Eq2: x + y = 10. In Eq2, replace Y with 21/x and solve for X: x + 21/x = 10. Multiply both sides by X: x^2 + 21 = 10x, x^2 - 10x + 21 = 0, (x-3)(x- 7) = 0, X = 3, or X = 7. In Eq1, replace X with 3 and solve

*posted on January 14, 2019* -
## Math

Log6 1296 = x. 6^x = 1296, x*Log 6 = Log1296, X = Log1296/Log6 = 4.

*posted on January 13, 2019* -
## algebra

(-1, 5), (x, y), (4, -3). x - (-1) = 4 - x. X = 3/2 = 1.5. y - 5 = -3 - y. Y = 1.

*posted on January 13, 2019* -
## Physics II

V = I * R = 10*10^3 * 0.2*10^-3 = 2.0 Volts.

*posted on January 13, 2019* -
## Physics

1. V = Vo + g*Tr = 0. 18 + (-9.8)Tr = 0, Tr = 1.84 s. = Rise time. Tf = Tr = 1.84 s. = Fall time. Tr + Tf = 1.84 + 1.84 = 3.68 s. = Total time in air or hang time. 2. V^2 = Vo^2 + 2g*h = o. 18^2 + (-19.6)h = 0, h = 16.53 m.

*posted on January 13, 2019* -
## math

10 Pumps: Rate = 40,000L/3h = 13,333.3 L/h. 9 Pumps: Rate = 9/10 * 13,333.3 = 12,000 L/h. T = 60,000/12000 = 5 Hours.

*posted on January 13, 2019* -
## math

2x/3 = 1 1/2. 2x/3 = 3/2, Multiply both sides by 6: 4x = 9, X = 9/4 = 2 1/4.

*posted on January 13, 2019* -
## algebra

The ratios should be equal if linear: 35/1 = ? 50/2 = ? 70 /3 = ? 90/4 = ?.

*posted on January 11, 2019* -
## Science

KE = 0.5*M*V^2.

*posted on January 11, 2019* -
## Math

2. 240 + 0.06*x => 600. X => ?

*posted on January 11, 2019* -
## Math

1. (140 - 8 ) - 12x => 0. -12x => -132, X =< 11 Chicken pizzas. Note: When dividing or multiplying by a negative number, the inequality sign is reversed.

*posted on January 11, 2019* -
## physics

h = 0.5g*t^2 = 0.8 m. 4.9t^2 = 0.8, t = 0.404 s. d = Xo * t = 3.37 * 0.404 =

*posted on January 10, 2019* -
## Math

Vp = L*W*h = 1/2 * 1/2 * 3/4 = 3/16 m^3 = Vol. of prism. Vc = L*W*h = 1/12 * 1/12 * 1/12 = 1/1728 m^3 = Vol. of cube. Vp/Vc = (3/16)/(1/1728) = 3/16 * 1728/1 = 324 Cubes.

*posted on January 10, 2019*