Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard
Step-by-step explanation:
First, let's see what the problem is giving us:
-The variable X will represent the number of weeks it will take Damon to save the money he needs.
- Damon has $40
- Damon is going to safe $20 weekly
- The snowboard costs $160
Therefor:
Our equation will be: $40 + $20X = $160
Step 1
We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.
40 - 40 + 20X = 160 - 40
This will let us with 20X = 120
Step 2
We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.
20X/20 = 120/20
Therefore: X=6
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Write a recursive and explicit formula for each option.
Save a nickel on the first day of the month and then double the amount each day for a month
=> a1 =0.05
=> a2 = a1* 2 = 0.05*2
=> a3 = a2*2 = a1* 2*2
..............................................
=>recursive an =
=> explicit an = 0.05*
Start their savings by saving $10 on the first day and then $10 each day of the month
=> a1 = 10
=> a2 = a1 + 10 = 20
=> a3 = a2 +10 = 20 +10 =30
........................................................
=> recursive an = 
=> explicit an = 10 + 10( n-1)
Hope it will find you well.
4) the distance between the x-values is 3 and the distance between the y-values is 4
3² + 4² = d²
9 + 16 = d²
25 = d²
√25 = d
5 = d
Answer: C
6)
d = 
d = 
d = 
d = 
d = 
d = 
d = 6.1
Answer: A
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