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# 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...

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

# MET charges \$21 adults, \$14 seniors, and \$6 children. Revenue was \$9486 for 718 tickets. There were 44 more children than adults. How many children attended? (answer)

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...

# Factor x^3 + 2x^2 - 5x - 10 completely (answer)

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...