#1**+1 **

There are 4 weeks in every month...so....the first one becomes

332 + 4 * x * 11 =

332 + 44x

For the second one....the additional amount that each player must raise = x =

[ amount left to be raised] / number of players = [ 2000 - 1456 ] / 11 = 544 / 11 ≈ $49.45

The product of a number, k, and four is seven more than the quotient of the number and two-thirds. Write an equation to represent this situation.

Product of k and 4 = 4k

Quotient of k and 2/3 = k / [2/3] = (3/2)k

So......7 plus the second thing = the frist thing....or....

4k = (3/2)k + 7

A local basketball court dimensions are 50 ft. long, 20 ft. wide, the court is lost square footage by 1/4. What are the new dimensions of the court? Write the equation out then solve.

If 1/4 of the square footage is lost....then 3/4 must remain

And L x W = Area

So.....the new area = [L x W] * (3/4) = [50 x 20] x (3/4) = 1000 x 3/4 = 750 sqare feet

However.....the new dimensions could be variable

If we assume that each dimension was √3/2 that of the old...we have that

(50 * √3/2) * (20 * √3/2) =

(25 * √3) * ( 10 √3) =

(≈ 43.3 ft ) * (≈ 17.32 ft) = (new length ) * (new width) ≈ 750 square feet

However....if the problem is claiming that each dimension was reduced by 1/4....the new dimensions are (50 * 3/4) * (20 * 3/4) = (37.5 ft) * (15 ft) and the new area is 562.5 square feet

This one was unclear....!!!

The school district has $1045 to throw a company event downtown for 50 people. If the venue cost $320 to rent out, as well as dinner cost $290. The party director wants to give bonuses to everyone with the remainder of the budget. How much would each employee get as a bonus? Write out the equation, let x stand for the bonus.

Let's first figure out how much remains......this is given by [ 1045 - 320 - 290]

So....this amount divide by the number of people is each person's bonus.....so we have...

[ 1045 - 320 - 290 ] / 50 = x solving, we have

[ 435 ] / 50 = x = $8.70 per person

Some big "bonus," huh???

CPhill Aug 29, 2017