The Santa's are proportional, so the ratio of chocolate to inches is the same. Therefore, you can solve this using equivalent fractions. 4 oz./2 in.= x oz./5 in. Cross multiply and solve for x. x= 10 ounces. The new Santa needs 10...

The Santa's are proportional, so the ratio of chocolate to inches is the same. Therefore, you can solve this using equivalent fractions. 4 oz./2 in.= x oz./5 in. Cross multiply and solve for x. x= 10 ounces. The new Santa needs 10...

paycheck=.1sales +2000 x=sales y=paycheck 0 2000 100 2010 200 2020 300 ...

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

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

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)

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...

Alex C.

Harvard/MIT Finance and Statistics Tutor

Fort Lee, NJ

5.0
(200 ratings)

Gregory R.

Graduate student teaching Violin, Viola, Music Theory, and Composition

New York, NY

5.0
(9 ratings)

Peter A.

Expert Test Prep for the SAT, ACT, & GRE

New York, NY

5.0
(112 ratings)