Answer:
3/4
Step-by-step explanation:
Difference means subtraction
12/8 - 3/4
We need a common denominator of 8
12/8 - 3/4 * 2/2
12/8 - 6/8
6/8
Divide by 2 in the numerator and denominator
3/4
Given that we Jenny wants to equivalent fraction of 45% then convert into reduced fraction and then convert into decimal equivalent.
She has already shown her work. We just need to find the error if any.
to convert any percent value we just divide that number by 100 because percent itself means divide by 100.
Hence first step 45%=45/100 is correct.
Then she needed to convert into reduced fraction. To do that she divided numerator and denominator both by 5 and got 9/20.
step 2 is also correct.
Now she needs to convert into decimal equivalent so she divided 9 by 20 and got 4.5 while the correct answer should be 0.45
Hence she did error when converting fraction form into decimal form.
If the drawing of your octagon (or whatever) has been separated into triangles, and one triangle's area<span> is labeled, then you do not need to know the apothem. Just take the </span>area<span> of that one triangle, and multiply by the number of sides in the original </span>polygon<span>.</span>
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
= 
- 7 with a₁ = - 18 ← recursive formula
C. Action: Divide both sides by 3.
