Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
-40 +2n= 4n -8(n+8)
-40 +2n= 4n -8n -64
-40 + 2n = -4n -64
2n = -4n -64 +40
2n=-4n-24
2n+4n=-24
8n=-24
N= -3
Answer is n equals -3
Answer:
the number of miles per hour
Step-by-step explanation:
Answer:
b = 4.66666667
Step-by-step explanation:
The equation for finding the area of a triangle is
0.5b x h = a
b = base
h = height
a = area
So I calculated 14 divided by 6
And got 2.3333333
And since that number is half of the base, I multiplied it by 2
2.333 x 2 ≈ 4.66666667
Answer:
2/8 and 5/8
Step-by-step explanation:
4=2×2
8=2×2×<em>2</em>
<em>LCM=</em>2×2×<em>2</em>=8
1/4 × 2/2 = 2/8
