The answer is c
The are of the trapezoid is c bc that’s the answer I got and it was right
Question 1: The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
To solve this question, first note that the sum of these numbers is -5*10 = -50. If the average of 11 numbers is -6, we must have that they add up to -6*11=-66. Therefore, the new number is -66-(-50) = -66+50 = -16.
Question 2: It is hard to explain why, but just know that the answer is No Solution. I think you must have made a typo, like maybe the product is -24?
Answer:
2.33 units
Step-by-step explanation:
Answer:
Option C. 1020
Step-by-step explanation:
From the question given above,
512 + 256 +... + 4 =?
We'll begin by calculating the number of terms in the sequence. This can be obtained as follow:
First term (a) = 512
Common ratio (r) = 2nd term / 1st term
Common ratio (r) = 256 /512
Common ratio (r) = 1/2
Last term (L) = 4
Number of term (n) =?
Tₙ = arⁿ¯¹
L = arⁿ¯¹
4 = 512 × (1/2)ⁿ¯¹
Divide both side by 512
4 / 512 = (1/2)ⁿ¯¹
1/128 = (1/2)ⁿ¯¹
Express 128 in index form with 2 as the base
1/2⁷ = (1/2)ⁿ¯¹
(1/2)⁷ = (1/2)ⁿ¯¹
Cancel 1/2 from both side
7 = n – 1
Collect like terms
7 + 1 = n
n = 8
Thus, the number of terms is 8
Finally, we shall determine the sum of the series as follow:
First term (a) = 512
Common ratio (r) = 1/2
Number of term (n) = 8
Sum of 8th term (S₈) = ?
Sₙ = a[1 – rⁿ] / 1 – r
S₈ = 512 [1 – (½)⁸] / 1 – ½
S₈ = 512 [1 – 1/256] ÷ ½
S₈ = 512 [255/256] × 2
S₈ = 2 × 255 × 2
S₈ = 1020
Thus, the sum of the series is 1020.
To do this we will divide d amount of dollars by d amount of lbs.
Lets do it:-
16.87 ÷ 3.5 = 4.82
1 lb of trail mix is for $4.82
CHECK OUR WORK:-
4.82 × 3.5 = 16.87
We were RIGHT!!
So, 1 lb of trail mix costs $4.82.
Hope I helped ya!! xD
