Step-by-step explanation:
Swap the sides of the equation :
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We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
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Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
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Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
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Let's translate the expression step by step:
"Five less than..." we will have to subtract five from something
"two times a number" .
So, we have
"Five less than two times a number" .
This "is sixty-nine", where "is" means "is equal to". So, the equation is
which is option B
Answer:
= - 4n - 10
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₈ = - 42 and a₁₆ = - 74 , then
a₁ + 7d = - 42 → (1)
a₁ + 15d = - 74 → (2)
subtract (1) from (2) term by term to eliminate a₁
8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )
d = - 4
substitute d = - 4 into (1) and solve for a₁
a₁ + 7(- 4) = - 42
a₁ - 28 = - 42 ( add 28 to both sides )
a₁ = - 14
Then
= - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10