The wood family and the roberts family each used their sprinklers last summer. the water output rate for the wood family's sprinkler was 25 l
per hour. the water output rate for the roberts family's sprinkler was15 l
per hour. the families used their sprinklers for a combined total of 60
hours, resulting in a total water output of 1250 l. how long was each sprinkler used?

Wood family: 35 hours

Roberts family: 25 hours

Step-by-step explanation:

Let w represent the number of hours the Woods family ran their sprinkler. Then 60-w is the number of hours the Roberts family ran theirs. The total water usage (in liters) was ...

25w + 15(60-w) = 1250

10w = 350

w = 35 . . . . . . Wood family time (hours)

60-w = 25 . . . Roberts family time (hours)

___

Check

(35 h)·(25 L/h) + (25 h)·(15 L/h) = 875 L + 375 L = 1250 L . . . . answer checks OK

160

step-by-step explanation:

idk

i hope i

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.