Answer: See explanation
Step-by-step explanation:
A. Since each ornament requires 0.5 yards of velvet and Joseph wants to make 45 ornaments, the number of yards of velvet she must be buy will be:
= 45 × 0.5
= 22.5 yards
Since 1 yard = 3 feet
22.5 yards = 22.5 × 3 = 67.5 feet
B. If the felt costs 10 cents ($0.10) per foot, what is the total cost of the velvet in dollars.
Total Cost = 67.5 × $0.10 = $6.75
C. A manufacture is making 1,000 times as many ornaments as Joseph to sell in stores nationwide. The amount of yards needed will be:
= 1000(45 × 0.5)
It’s 27 miles i believe! 4.5 times 6 is how you get it! hope this helps
Answer: The given series is a geometric series sum 2730.
Step-by-step explanation: We are given to evaluate the following series :
2, 8, 32, 128, 512, 2048.
Let, denote the n-th term of the given series.
Then, we see the following pattern in the consecutive terms of the given series:
Therefore, each term after the first one is the product of the preceding term and 4.
That is, the given series is a geometric series with first term 2 and common ratio 4.
Thus, the required sum of the given series is
The required sum of the series is 2730.
Answer:
25
Step-by-step explanation:
10 + (b - a) · 5
10 + (7 - 4) · 5
10 + 3 · 5
10 + 15 = 25
To find the total area of this polygon, you would have to find the areas of the rectangle and two triangles and add them up.
Area of Triangle = 1/2 x base x height
= 1/2 x 16 x 6
= 8 x 6
= 48
And since there are two triangles, we can multiply 48 by 2 to get the areas of both triangles.
Area of Both Triangles = 48 x 2 = 96
Area of Rectangle = base x height
= 16 x 10 = 160
Total Area = 96 + 160 = 256 cm2