On December 1 she shall be going to dance class karate and the library
Answer:
B) Translation
Step-by-step explanation:
Answer:
C. x ≥ 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
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..
Glenn made 16 muffins- 1/4 of 16= 4 muffins with nuts
Catrina made 15 muffins- 1/3 of 15= 5 muffins with nuts
Lisa made 18 muffins- 1/3 of 18= 6 muffins with nuts
Meg made 18 muffins- 1/2 of 18= 9 muffins with nuts
4+5+6+9= 24
Subtract 87-24= 60
Wayne made 60 muffins- 1/4 of 60= 15 muffins with nuts
4+5+6+9+15= 39 muffins with nuts in all