Answer:
916 in.
Step-by-step explanation:
Step by Step.
5*10 = 50, and 50*2 = 100
10*4 = 40, and 40 * 2 = 80
(4*6)/2 = 12, and 12 * 2 = 24
10*10 = 100, and 100 * 2 = 200
16*16 = 256, and 256 * 2 = 512
Adding this together, we get: 916 inches.
Number of game tokens is the label on x-axis.
<u>Step-by-step explanation</u>:
The equation is y = 0.5x + 3
Given,
- Admission charge = $3
- Cost of game token = $0.5 per game.
Total cost = admission charge + cost for number of game token
where,
- y represents the total cost
- x represents the number of game tokens.
Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)
Step-by-step explanation:
Answer:
It takes the frog 7 hours to get out of the well.
Step-by-step explanation:
We know that the well is 11 feet deep and the frog can climb 3 feet per hour.
Each time it climbs, it rests for an hour, and decreases its height by 1 foot.
So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.
Lets calculate with the same pattern:
1st hour: 3 feet
2nd hour:
feet
3rd hour:
feet
4th hour:
feet
5th hour:
feet
6th hour:
feet
5th hour:
feet
6th hour:
feet
7th hour:
feet
Therefore, it takes the frog 7 hours to get out of the well.