Answer:
11/4
Step-by-step explanation:
<em><u>Step 1: Simplify both sides of the equation.</u></em>
12x+3−1=35
12x+3+−1=35
(12x)+(3+−1)=35(Combine Like Terms)
12x+2=35
12x+2=35
<em><u>Step 2: Subtract 2 from both sides.</u></em>
12x+2−2=35−2
12x=33
<em><u>Step 3: Divide both sides by 12.</u></em>
12x / 12 = 33 / 12x =
11 / 4
To find the difference, subtract Thea's earnings from Hadley's earnings.

Thea earned $54 more than Hadley.
The formula we need is this one:

. Filling in accordingly, we have x+4(x+4+1)=x+1(x+1+11). Simplifying that we get (x+4)(x+5)=(x+1)(x+12). We will FOIL both sides to get

. Combining like terms gives us this simplification: 0=4x-8. If we factor out the common 4, we have 0 = 4(x-2). By the Zero Product Property, eitheer 4=0 or x-2=0. Well obviously, 4 does not equal zero, so x-2 = 0, and x = 2.
Answer:
4 times
Step-by-step explanation:
We known that 1 quart is equivalent to 32 fluid ounces
Suppose each eruption consumes 8 fluid of ounces, if we also assume that the amount of vinegar required per eruption is constant, then the number of times Adriana can make her volcano erupt is
n = 32 / 8
n = 4 times
Adriana can make her volcano erupt 4 times with 1 quart of vinegar