Problem 1: 1. Define the variable:
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality:
5 times b greater than 51
3.
Solve the inequality
4. Interpret the solution

1) The variable is x

2) Solving the inequality we get x>34

3) , solving the inequality we get b>10.2

Step-by-step explanation:

1. Define the variable:

The variable is x

2) Trini needs more than 51  cubic feet of soil to top up  his raised garden. Each bag  of soil contains 1.5 cubic  feet. Write and solve an  inequality to find how many  bags of soil Trini needs.

Solving the inequality

Solving the inequality we get x>34

3) Write the inequality:

5 times b greater than 51

4) Solving the inequality

So, solving the inequality we get b>10.2

congruent segments

step-by-step explanation:

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