Answer:
16.75 g
Step-by-step explanation:
Orange's weight = 67 g
Strawberry's weight
= ¼ of the weight of orange
= ¼ × weight of orange
= ¼ × 67 g
= 67 g/4
= 16.75 g
Answer: Option 3
Step-by-step explanation: Option (3) is correct.The surface area of a rectangular prism of given dimension is 170 square inches.Step-by-step explanation:Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.We have to find the surface area of a rectangular prism of given dimension.Since a rectangular prism whose base is 5 inches by 6 inchesThat is length (l)= 5 inches Width (w) = 6 inches and height (h) = 5 inches.Also . Substitute, we have,simplify , we have,surface area of a rectangular prism = 170 inches²Thus, the surface area of a rectangular prism of given dimension is 170 square inches
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
