3z-4=6z-17
-3z-4=-17 (subtracted the 6z from both sides)
-3z=-13 (added the 4 to both sides)
z=

(divided both sides by -3z)
z=
K= 100
You use distributive property
<span>
Step 1: </span><span>−(−k)−1(−86)+10=−4
Step 2: </span><span>k−1(−86)+10=−4
Step 3: </span><span>k+86+10=−4
Step 4: </span><span>k+96=−4
Step 5: </span><span>k=−96−4
Step 6: </span><span>Subtract </span>4<span> from </span><span>−96</span><span> to get </span><span><span><span>−100</span>.</span></span>
The radius of the water bottle to the nearest hundredth is 2.01 cm
<h3>How to calculate the volume of a cylinder</h3>
A cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
Learn more on volume of cylinder here: brainly.com/question/9554871
Answer:
Equation : 35 + 6.40t < 86.20
t = less than 8 hours
Step-by-step explanation:
If t equals the number of hours they can rent the room before going over their set limit, we would add the base amount (35) to the hourly (6.40t) less than 86.20.
So :
35 + 6.40t < 86.20
6.40t < 51.20 (subtract 35 on both sides)
t < 8 (divide 6.40 on both sides)
:)