A. If the fraction 6/15 is changed to an equivalent fraction with adenominator o

Question

A. If the fraction 6/15 is changed to an equivalent fraction with adenominator of 20, the new numerator is?

B. Solve the equation 2x- (x-3) =5x + 11 for x.

C. Solve the equation 34x .3-1 = 1 forx


D. A tricycle has a tire with a circumference of 22 inches. How many revolutions does it make as it rolls 11 feet?

E. If a rectangular box has sides of length x, x -4, x + 3, (where x > 4), the volume of the box is

Explanation / Answer

a. 6/15 is also equal 2/5 because; therefore, x/20=2/5 the next step is the solve for x. x=(20*2)/5=40/5=8. so the number numerator is 8/20=2/5 is anequivalent fraction of 6/15. b. 2x-(x-3)=5x+11, first step is the combine like terms on bothleft hand and right hand side left hand side: 2x-x+3, like terms are 2x and x. do a simplesimplification the left hand side becomes x+3 right hand side: 5x+11 now equate left hand side to right hand side of the equation x+3=5x+11 => 5x-x+11-3=>4x+8=0=> x=-8/4=-2 the answer is x=-2 c. 3^4x*3^-1=1, hince: 3^0=1 the equation becomes 4x-1=0; therefore x=1/4

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