The depth of the joist that was drilled by Freddy is 5 1/3 inches.
From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.
Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:
= 4 + 1 1/3
= 5 1/3 inches.
Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.
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Answer:
Step-by-step explanation:
Positive integers are of the form 2n
The first term is 2 and the 130th term is 2(130)=260
The sum of this arithmetic sequence is the average of first and last terms times the number of terms
(2+260)(130/2)
17030
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:

Where 'x' is the number of weeks. Now let's solve it for 'x'.
Subtract 950 to both sides:

Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:

So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.
I’m not sure if you need the steps but x is -4 and y is -1