Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints
<h3>Weight</h3>
- Weight of cake = 3 1/4 pounds
1 pound = 16 ounces
Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces
= 13/4 × 16
= (208) / 4
= 52 ounces
- Water dispensed per second = 0.15 gallons
- Number of seconds = 20 seconds
1 gallon = 4 quarts
0.15 gallon = 0.6 quarts
1 quart = 2 pints
0.6 quart = 1.2 pints
Pint of water dispensed in 20 seconds = 1.2 × 20
= 24 pints of water
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Answer:
y=11/4x-13/4
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
11% of $67,200.
We need to keep in mind that some words and numbers here aren't important, like 401(k) plan.
So what is 11% of $67,200?


$7392
Hope this helps!
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
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