Let x = price of adult ticket and y=price of child ticket, set up a system of 2 equations in 2 variables: 6x + 2y = 78 3x + 6y = 84 solve via elimination (multiply 2nd equation by -2) 6x + 2y = 78 -6x - 12y = -168 add them...

Let x = price of adult ticket and y=price of child ticket, set up a system of 2 equations in 2 variables: 6x + 2y = 78 3x + 6y = 84 solve via elimination (multiply 2nd equation by -2) 6x + 2y = 78 -6x - 12y = -168 add them...

110/2/2/2/2/2 = 110/32 = 3.4375

-b/2a = axis of symmetry 6 = -b/2 b = -12

3 1/4 = 13/4 miles/hr, 14 minutes = 14/60 = 7/30 hrs, 7/8 = .875 miles d=rt d = (13/4)(14/60)=.758 miles, you will not make it

Please help me. (answer)

Set up the ratio: 5.5/11 = 12/(11+x) and solve for x 132 = 5.5x + 60.5 x = 13 ft

X cannot equal 8 since 8-8=0 and we cannot divide by zero. (-Inf, 8) Union (8, +Inf)

MATH PUZZLE (answer)

1 letter answers = 7 2 letter answers = 7x6=42 3 letter answers = 7x6x5=210 4 letter answers = 7x6x5x4 = 840 5 letter answers = 7x6x5x4x3=2520 6 letter answers = 7x6x5x4x3x2=5040 7 letter answer = 7x6x5x4x3x2x1...

how many roots are in this : (answer)

The number of roots equals the highest power of x, therefore 3

How long will it take $1200 to double if it is invested at 7% interest compounded semiannually? (answer)

2400 = 1200(1+.07/2)2t 2 = (1.035)2t ln 2 = 2t(ln 1.035) t = (ln 2)/[(ln 1.035)(2) = 10.07 years

A = P(1+r)t 275 = 100(1+r)5 2.75 = (1+r)5 1.224 = 1+r r = 22.4%

A = P(1 + r/n)nt = 12000(1+ .0575/12)12(30) = 67073.36

Help measurement question (answer)

The length of the third side is 0 < side < 120

Word problem (answer)

2500 = 12500(5).18t .2 = 5.18t ln(.2) = .18t(ln(5)) t = ln(.2)/(.18(ln(5)))

((x-3x)2)(x3x)-2) = (x-6x)(x-6x) = x-12x

Trigonometry (answer)

I do not think your question is correct.

How many different arrangements ? (answer)

10 x 9 x 8 = 720

The 3 roots yield 3 factors: (x-2)(x-3i)(x+3i) (x-2)(x2+9) x3 - 2x2 + 9x - 18 multiply by 6 to get a constant of 108 6x3 - 12x2 + 54x - 108

word problem (answer)

x-24+48-55=17 x=48, if we assume each cup is 8 oz then 48x8/128 = 3

Which of the following is forbidden, based on the second law of thermodynamics? PLEASE HELP ME! (answer)

A cannot happen

word problems (answer)

If we assume simple interest for 1 year, then we let x = amount invested at 10% and 4000-x = amount invested at 12% 460 = .1x + .12(4000-x) 460 = .1x + 480 - .12x -20 = -.02x x = 1000 at 10%, 3000 at 12%

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