A bag contains purple marbles and blue marbles, 84 in total. The number of purple marbles is 9 more than 4 times the number of blue marbles. How many purple marbles are there?

there are 32 purple marbles in the bag

Step-by-step explanation:

did the test

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

452,489 to the nearest thousand is 452,000