R = C/(X/1000) Solve for X R = C (1000/X) multiply by the reciprocal R = 1000C/X RX = 1000C Multiply both sides by X. X = 1000C/R X = (1000)(12)/3.028139 X = 3,962
R = C/(X/1000) Solve for X R = C (1000/X) multiply by the reciprocal R = 1000C/X RX = 1000C Multiply both sides by X. X = 1000C/R X = (1000)(12)/3.028139 X = 3,962
Solve the first equation for y: 3x + 2y = 4 2y = 4 - 3x y = (4 - 3x ) / 2 Substitute (4 - 3x) / 2 for y in the second equation. 5x - 4[(4 - 3x) / 2] = 3 5x - 2(4 - 3x) = 3 5x - 8 + 6x = 3 11 x = 11 x = 1 Use this value for x to solve...
This equation has two answers. Any real number times 0 equals 0. This is called the zero property of multiplication. Therefore either (c-25) has to equal zero, or (c+50) has to equal zero. SOLUTION: (c-25)(c+50)= 0 (c-25) = 0 C-25+25 = 0+25 (add...
0 = -1,500,000 + 97,000/.11-g 0=.11-g/.11-g(-1,500,000 + 97,000/.11-g) remove the fraction be multiplying by .11-g/.11-g 0=-1,500,000(.11-g) + 97,000 0 = -165,000 + 1,500,000g + 97,000 distributive property -1,500,000g = -165,000 + 97,000 ...
PV1 = x PV2 = 15000-x r1=.04 r2=.035 FV = PV1(1+r1) + PV2(1+r2) 15575 = 1.04x + 1.035(15000-x) 15575 = 1.04x + 15525 - 1.035x 50 = .005x x = $10,000 = PV1 $15,000-x = $5000 = PV2
number of adults = x number of children = x+44 number of seniors = total number of tickets - adults - children = 718-x-(x+44)=674-2x Ticket sales = $21*adults + $6*children +$14*seniors 9486 = 21x + 6(x+44) + 14(674-2x) 9486 = 21x + 6x + 264...
x3+2x2-5x-10 factor by grouping and use distributive law: (x3+2x2)-(5x+10) x2(x+2)-5(x+2) (x2-5)(x+2) (x+√5)(x-√5)(x+2)
4m3+5m2-8m-10=0 (4m3+5m2)-(8m+10)=0 m2(4m+5)-2(4m+5)=0 (m2-2)(4m+5)=0 (m+√2)(m-√2)(4m+5)=0 m+√2=0 m-√2=0 4m+5=0 m=√2, -√2 and -5/4
3(-x-4) =2x+3(x-5) -3x-12 = 2x =3x -15 expand by multiplying out the expression in () -3x-12 = 5x-15 -3x+3x-12 = 5x+3x-15 add 3x to both sides -12+15 = 8x-15+15 add 15 to both sides 3 = 8x 3/8...
4n - 10n + 35 = 1 - 2 4n - 10n + 35 -35 = 1 -2 -35 (subtract 35 from both sides) 4n - 10n = 1 -2 -35 (simplify) -6n = -36 -6n/-6 = -36/-6 ...
Prove cos Θ/sec Θ sin Θ = csc Θ - sin Θ. cos Θ/sec Θ sin Θ =cos Θ / (1/cos Θ)(sin Θ) note: [sec Θ = 1/cos Θ] =cos2Θ/ sin Θ note:[cos Θ ÷ 1/cos Θ = cos Θ * cos Θ = cos2Θ] =1 - sin2Θ/sin Θ ...
The second hotel is $500 less than the first hotel: Hotel1 = x Hotel2 = x-500 Tax rates for each hotel: Rate1 = .03 Rate2= .045 Solve for x: Total Tax = Hotel1Rate1 + Hotel2Rate2 258.75 = (x)(.03) + (x-500)(.045) 258.75 = .03x +.045x - 22...