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Answers by Theresa C.

if 18=x/10000 then x=? (answer)

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  

Identify the solution(s) of the system of equations (answer)

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...

(c-25)(c+50)=0 (answer)

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=-1500000+97000/(11%-g) (answer)

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   ...

word problem (answer)

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

What is the answer4m2+5m2-8m-10 (answer)

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) (answer)

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 (answer)

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                     ...

cos/sec x sin = csc - sin (answer)

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    ...

A math word problem (answer)

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...