# Posts by Henry

Total # Posts: 13,954

**Math**

Smith walks X meters. John walks 3x meters. Wilson walks 6x meters. x + 3x + 6x = 4500 m. X = ?.

**Math**

$X/45 = Cost per person. X/40 = X/45 + 10. X/40 - X/45 = 10 0.025x - 0.0222x = 10 X = $3,600 = Cost of the bus.

**Math**

X girls in class. 2x-10 boys in class. x + (2x-10) = x + (x+5). X = ?.

**Math**

$4900/7Days = $700/day. Apprentice earns $X/day. The barber earns $(x+200)/day. x + (x+200) = 700. X = ?

**Math**

Malika has X books. Amira has 4(x-7) books. 4(x-7) = 28. X = 14.

**Algebra**

85<((81+95+x)/3)<90. 85<((176+x)/3)<90 Multiply by 3: 255<(176+x)<270 Subtract 176: 79<X<94. Third quiz between 79 and 94.

**Physics**

Density = 4kg/5Liters = 0.80 kg/Liter.

**Electrical**

R1 = 8 Ohms. R2 = 12 Ohms. R3 = ?. 20I = 70, I = 3.5A. Rt = 20V/3.5A = 5.71 Ohms. Rt = (R1*R2)/(R1+R2) + R3. Rt = (8*12)/(8+12) + R3 = 5.71. R3 = ?.

**Math**

50cards/min. + 40cards/min. = 90 cards/min. T = 1350cards/(90cards/min) = 15 min.

**Physics**

V1 = 1 + 5i = 5.1m/s[78.7o]. V2 = 4 + 3i = 5m/s[36.9o]. 78.7 - 36.9 = 41.8o between V1 and V2.

**maths for business Help!!!**

P = (Po*r*t)/(1-(1+r)^-t. P = 600 * 240 = 144,000 X = Down payment. Po = 50,000-x r = 0.24/12 = 0.02/mo. t = 20 * 12 = 240 mo. 144,000 = (50,000-x)*0.02*240)/(1-(1.02)^(-240)) X = 20,258.87 Po = 50,000-20,258.87 = 29,741.13 I = P-Po

**hookle's law**

k = 50N/(25-20)cm = 10N/cm. L = 20 + (1cm/10N * 100N) = 30 cm.

**math**

See your previous post.

**math**

See your previous post.

**math**

Project A: 0.6*500,000 = $300,000 @ 8%. Project B: 0.4*500,000 = $200,000 @ 13%. (x, y) = (300000,200000). I = 0.08*300,000 + 0.13*200,000 =

**Algebra**

P(2,-3), m = 6. Y = mx + b -3 = 6*2 + b, b = -15 = y-int. Eq: Y = 6x - 15.

**Math**

At 3:00am your parents ring the doorbell for a surprise breakfast.u have strawberry jam,honey and Bread and cheese wat do u open first

**physics**

Circumference = pi*D = 3.14*1.2m = 3.77 m. 5rev/2s. * 3.77m/rev = 9.42 m/s. = Linear speed.

**algebra**

Another Method: t1 = 7 hrs. t2 = 1/3 * 7 = 7/3 hrs. 1/T = 1/t1 + 1/t2. 1/T = 1/7 + 3/7 = 4/7, T = 7/4 = 1.75 hrs.

**algebra**

t1 = 7 hrs. t2 = 1/3 * 7 = 7/3 hrs. T = t1*t2/(t1+t2) = (7*7/3)/(7+7/3). T = (49/3)/(28/3) T = 49/3 * 3/28 = 49/28 = 7/4 = 1.75 hrs.

**Maths**

a^2 + b^2 = c^2. c = Length of wire. 3^2 + 5^2 = c^2.

**physics**

V(B-C) = 500 - 320i + 75 + 1015i V(B-C) = 500+75 - 320i+1015i V(B-C) = 575 + 695i. Components: 575km E., 695km N.

**Math**

Water(cups) = 5c/3t = 1.7t. Water(cups) = 1.7t. T is the # of tea bags required.

**Personal Finance**

My answer is D, also.

**Trigonometry**

Tan60 = h1/d = h1/20. h1 = ?. Cos60 = d/h2 = 20/h2. h2 = ?. h = h1 + h2 = Ht. of tree.

**Math**

P2 = P1(1+r)^n = $60,000. r = 0.08/365 = 0.00021918/day = Daily % rate expressed as a decimal. n = 365Comp/yr. 12yrs. = 4380 Compounding periods. P1(1.00021918)^4380 = 60,000. P1 = ?.

**Physics**

a. S = d/t = (25+25)/(10.01+10.22) = yds/s. b. S = d/t = 25/10.01 = yds/s.

**math**

15c + 12w = 13.20*100 = 1320. Eq1: 15c + 12w = 1320. Eq2: C + W = 100. Multiply both sides of Eq2 by (-15) and add the Eqs. Remember that C and W are in KGs.

**math**

N = 2bags * bBeans/bag = 2b. So N = 2b.

**physics**

h = 0.5g*Tf^2 = 703 m. 4.9Tf^2 = 703, Tf = Fall time = ?. Tr+Tf = Time in light. c. Range = X1*(Tr+Tf).

**physics**

V1= 120m/s[78o]. X1 = 120*Cos78 = 24.9 m/s. Y1 = 120*sin78 = 117.4 m/s. a. Y2^2 = Y1^2 + 2G*h. 0 = 117.4^2 - 19.6h, h = ?. b. V2 = V1 + g*Tr. 0 = 117.4 - 9.8Tr, Tr = 12 s. = Rise time.

**Physics**

a. Va = 6rev/4s * 6.28rad/rev = 9.42 rad/s. b. Circumference = pi*2r = 3.14*0.30m = 0.942 meters. V = 9.42rad/s. * 0.942m/6.28rad = m/s = Linear or Tangential velocity.

**Science**

3. B.700 N. (Your Mass does not change).

**physics**

V2 = V1 + a*t. V2 = -8 m/s, V1 = 30 m/s, t = 0.010 s, a = ?.

**physics**

a. I = (20*200)/(240) + 1500/240. I = 16.67A + 6.25A = 22.92A. b. Energy = ((10*0.20kW) + 1.50kW.)*5h = 17.5kWh.

**math**

a. Cost = $93/mo. * 15mo. = $1395. b. Carrying Charge = 1395-1250 = c. $1250/($93/mo.) =

**Algebra, Probability needed ASAP**

See Related Questions: Thu, 5-7-15, 5:14 AM.

**math**

Cost = 45 + 0.21x = 66. X = ?.

**speed**

Tom's speed = X km/h. Jerry's speed = x-2 km/h. Tom: d = x * t. = 4x. Jerry: 4d/5 = (x-2)*t d = (1.25x - 2.5)t d = (1.25x - 2.5)4 d = 5x - 10. d = 4x = 5x - 10 4x = 5x - 10 X = 10 km/h. d = 10km/h * 4h = 40 km. = Length of the route.

**Physics**

Fo = M*g = 12 * 9.8 = 117.6 N. = Force of the object. Fp = 117.6*sln30 = 58.8 N. = Force parallel to the incline. Fn = 117.6*Cos30 = 101.8 N. = Normal force. Fs = u*Fn = 0.65 * 101.8 = 66.2 N. - Force of static friction.

**Physics**

a. t = d/V = 11*10^12m/(3*10^9m/s) = 3667 s. = 1.02 h. b. Wavelength = V/f = 3*10^8m/s/(8*10^9c/s) = 0.0375 m.

**science**

Disp. = 30i + 20 + 30*sqrt2[225o] Diep. = 30i + 20 + -30-30i = -10m = 10m West. For a different approach, see Related Questions: Sun, 7-29-12, 11:05 AM.

**physical science**

Load force = 600 N. Effort force = 100 N.

**Geometry**

A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the volume of the cone is nine times the volume of the ...

**physics**

See previous post: Mon., 5-8-17, 2:43 PM.

**physics**

a. Wavelength = 2 * 4m = 8 Meters. b. Wavelength = V/F1 = 8m. 340/F = 8, F1 = ?. F1 = Frequency of 1st harmonic. c. F2 = 2 * F1.

**physics**

Vs = 332 + 0.6*(-10) = 326 m/s = Velocity of sound. d = Vs * t/2 = 326 * 5/2 = 815 m.

**physics**

Vt = 180km/h = 180,000m/3600s = 50 m/s. = Velocity of the train. Vs = 332 + 0.6T = 332 + 0.6*19 = 343 m/s = Velocity of sound. Fr = ((Vs-Vr)/(Vs+Vt)) * Fh. Fr = ((343-0)/(343+50)) * 3500 = Fr = Frequency heard by the receiver(listener).

**algebra**

-11*sqrt(112) = -11*sqrt(16*7) = -11*4*sqrt(7) = -44*sqrt(7).

**Physics 20**

F = M*a, a = F/M = -1500/75.5 = -19.9 m/s^2.

**maths**

a. Area = L*W = 4.5 * 6 = 27m^2. b. Cost = 27m^2 * $20/m^2 = $540.

**thermal physics**

30mm = 0.030m. k = 2N./0.03m = 66.7 N/m. F = 66.7N/m * 0.035m - 2N. = 2.33 - 2 = 0.33 N. = Addition force.

**Math**

1. (4x^2 + 15x - 3) - (3x^2+5) = 4x^2 + 15x - 3 - 3x^2 - 5 = x^2 + 15x - 8. 2. -3f^2 + 4f - 3 + 8f^2 + 7f + 1 = 5f^2 + 11f - 2. 3. Ans: b. 4. Ans: b. 5. Ans: a. 6. Ans: -7. 7. 2^2 * 2^8 = 2^10. 8. (2.5*10^4)(4*10^3) = 10*10^7 = 1*10^8. 9. When multiplying, add the exponents: 5...

**Physics**

V1 = 115km/h = 115,000m/3600s = 31.94 m/s. V2 = 25km/h = 25,000/3600s = 6.94 m/s. V2^2 = V1^2 + 2a*d. d = 100 m., a = ?. Retardation is negative acceleration. Therefore, "a" will be negative.

**Maths**

1/3 = 3/9 = tomato juice. 2/3 * 2/3 = 4/9 = carrot juice. 9/9 - 3/9 - 4/9 = 2/9 = apple juice. (2/9)/(4/9) * 315mL = 1/2 * 315mL = 157.5 mL = apple juice.

**Maths**

Hasim counted his money. he gave 1/3 to his brother. he spent £12 on his sister. What he had left was half what he had at the beginning. how much did he give his brother?

**Physics**

Fk = u*Fn = 0.08*9.8M = 0.784M. -0.784M = M*a. a = -0.784 m/s^2. V^2 = Vo^2 + 2a*d. 0 = 6.7^2 - 2*0.784d, 1.568d = 44.89, d = 28.6 m.

**pls help physics hw**

Circumference = 2pi*r = 6.28 * 0.34m = 2.14m/rev. Period = 2.14m/rev/(39m/s) = NOTE: you cannot use cm AND meters. Use 0.34m instead of 34cm to make your units compatible.

**Science**

Correct!

**Physics**

a = (V2-V1)/T. V1 = 84m/6s = 14 m/s = Initial velocity. V2 = 180m/5s = 36 m/s. T = t1 + t2 = 6 + s = 11s.

**Science**

I = E/R. The resistance remains constant. Therefore, the current increases when you increase the voltage(E).

**Physics**

M*g = 100. M = 100/g = 100/9.8 = 10.2kg = Mass of the box. Fn = 100 - 10*sin60 = 91.34 N. = Normal force Fap-Fk = M*a. 10*Cos60-Fk = 10.2*0, Fk = 10*Cos60 = 5 N. = Force of kinetic friction.

**discrete math**

a. P = Po + Po*r*t. P = 8000 + 8000*0.1*10 = $16,000 After 10 years. Amt. = $16,000/10yrs. = $1600/yr. b. Same procedure as part a. c. 1st. BAL. = (Po + I) - 2500. = (8000 + 0.2*8000) - 2500 = $7100. 2nd. BAL. = (7100 + 0.2*7100)-2500 = $6,020. 3rd. BAL = (6020 + 0.2*6020) - ...

**Math**

Mean = (76+73+78+75)/4 = 75.5 A quick way to calculate the mean is to take the difference between the largest and smallest number and divide it by 2; then add the results to the smallest number: (78-73)/2 = 2.5, 73 + 2.5 = 75.5.

**physics**

V = pi*r^2*h = 3.14*(1.05)^2*3.79 = 13.1m^3. Density = M/V = 13500kg/13.1m^3 = 1,028kg/m^3.

**physics**

20cm/step 12 steps?. d = 20 * 12 = 240cm. = 2.40m. P = F * d/t = Mg * d/t. P = 750 * 2.4/5 = 360 J/s = 360 Watts.

**Physics**

70 -30 = 40g = Wt. of paraffin. V = 40g/(0.8g/cm^3) = 50cm^3 = Vol. of bottle. Mass = 30 + (50cm^3*1g/cm^3) = 80g When filled with water.

**mechnical**

1. V1 = 9000rev/min * 1min/60s * 6.28rad/rev = 942.5 rad/s. V2 = 5500rev/min * 1min/60s * 6.28rad/rev. = 576 rad/s. a. a = (V2-V1)/t

**Physics pls help**

M1V1 + M2V2 = 24 + 10i sqrt(24^2+10^2) = 26kg.m/s = Total momentum before collision = Total momentum AFTER collision.

**physics**

Correction: E = 0.039 Volts.

**physics**

E = L*di/dt = (9*10^-3)*(1.5-0.2)/0.3 = 4.33 Volts.

**maths**

Total = 390 cm. Red = X cm. White = x+40 cm. Blue = 3x cm. Purple = (x+40)/2 = 0.5x+20. x + (x+40) + 3x + (0.5x+20) = 390. 5.5x + 60 = 390, X = 60 = Red. Calculate the length of the other ribbons.

**Math**

6,4,2,1,5,3. 5,3,1,6,4,2. 4,2,1,6,5,3. 3,1,6,5,4,3. 2,1,6,5,4,3.

**Math**

6,5,4,3,2,1. 6,4,3,2,1,5. 6,3,2,1,5,4. 6,2,1,5,4,3. 6,1,5,4,3,2. 5,4,3,2,1,6. 4,3,2,1,6,5. 3,2,1,6,5,4. 2,1,6,5,4,3. 1,6,5,4,3,2.

**Math**

1. 1,2,3,4,5,6. 1,3,4,5,6,2. 1,4,5,6,2,3. 1,5,6,2,3,4. 1,6,2,3,4,5.

**Math**

A. False. B. True. C. False.

**Math**

R = PL/A. P = 1.68*10^-8 Ohm*m. L = 3.9 m. r = 1.1*10^-3/2 = 5.5*10^-4 m. A = pi*r^2 = 3.14*(5.5*10^-4)^2 = 9.5*10^-7 m^2. R = 1.68*10^(-8)*3.9/(9.5*10^(-7)) = 0.069 Ohms.

**Algebra**

Eq1: 3x-3y+6z = 15 Eq2:-3x-6y+3z = -3(times-3). sum: =9y+9z = -18, y + z = -2. Eq2: -5x-10y+5z = -55(times-5). Eq3: +5x-8y+13z = 19 Sum: -18y+18z =-36, y - z = 2. y + z = -2. y - z = +2. Sum: 2y = 0, y = 0. z = -2. Eq1: 3x-3y+6z = 15. 3x - 3*0 + 6(-2) = 15, 3x = 27, x = 9. ...

**science**

2. Their forces are equal and opposite. 3. Unbalanced forced.

**physical sci**

Water vapor.

**math**

2005, Jamal: 21 + 3 = 24 yrs. old. a. 2005, Malcolm: 24/3 = 8 yrs. old. b. 8-3 = 5 yrs. old.

**physics**

k = (M2-M1)/(L2-L1) = (30-20)/(16-14) = 5 g/cm. d = 20g * 1cm/5g = 4cm = Distance stretched. Lu = 14-4 = 10cm = Un-stretched length.

**Math**

A. 50gal/Load * 52Loads = 2600 Gal. = 347.6 Ft^3. Cost = 347.6Ft^3 * 7.64/100 = B. (17.2/7.48)FT^3/day * 365days = 839.3 Ft^3. Cost = 839.3Ft^3 * 7.64/100Ft^3 =

**physics**

Incomplete.

**Math**

24/4 = 6 meals/day.

**maths**

d = 24*(T+5/60) = 1.25*24*(T-4/60). 24T + 2 = 30T - 2, T = 4/6 = 2/3 h. d = 24*(2/3+5/60) = ?.

**MATH**

Correction:314/(314+211+197+2243+279+325) = 0.20 Quota = 0.20 * 64 = 12.81.

**MATH**

Quota = 314/(314+211+197+243+279+325) = 12.81.

**math**

Incomplete.

**math**

I = Po*r*t = 6400*(0.0853/360)*40 = $60.66. Effective rate = (60.66/6400) * 100% = 0.95%.

**Trigonometry**

This is a rt. triangle: A = 0.5b*h = 0.5*6*8 = 24 Ft^2.

**Trigonometry**

Tan 57.68 = 50/D. D = ?.

**Trigonometry**

Tan =

**Trigonometry**

Y = 67 in. X = 67/2 = 33.5 in. Tan A = Y/X = 67/33.5 = 2.0 A = 63.43o.

**Math**

F = 700*SIN15 = 181.2 Lbs.

**Math**

a/sin A = b/sin B. a/sin43 = 10/sin112, a = ?.

**Math**

V1 = V2*1.42, V1 = (V1-20)*1.42, V1 = 67.7 Mi/h. d = V1*T1 = 67.7mi/h * 1h = 67.7 m1.

**Math**

d = V1*T1 = V2*T2. V1 * 1 = V2*(60+25)/60, V1 = V2*1.4

**science**

M1*d1 = M2*d2. M2 = 40 * 2 = M2 * 3.2, M2 = 25kg = Girl's wt.

**Physical Science**

P = I^2 * R.