A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.

7 kits

Step-by-step explanation:

( this is assuming you meant to add poster board)

y= total amount she can spend

35= .10x + .25x+ 1.5x +3x+ .10x

add all like terms

.1 + .25 + 1.5 + 3 + .1=  4.95

35= 4.95x

divide 4.95 by both sides.

35 / 4.95=  7.07

Round to the nearest integer.

7

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

where's the diagram?

step-by-step explanation: