A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 8 less than 5 times the number of red marbles. How many purple marbles are there?

27 purple marbles

Step-by-step explanation:

Let p = purple marbles

r= red marbles

p = 5r-8

p+r = 34

Replace p in the second equation with 5r-8  from the first equation

p+r = 34

5r-8 +r = 34

Combine like terms

6r -8 = 34

Add 8 to each side

6r-8+8 = 34+8

6r = 42

Divide each side by 6

6r/6 = 42/6

r= 7

We want to find p

p+r = 34

p+7 = 34

Subtract 7 from each side

p+7-7 = 34-7

p =27

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110