X5jhahaj661516 ıyqyququuquwuwuıwı
Answer: Statement p is false.
Step-by-step explanation:
In both cases, we need to isolate the variables:
p: -3*x + 8*x - 5*x = x
(-3*x - 5*x) + 8*x = x
-8x + 8*x = x
0 = x
This will be true only for one value of x, so this is not always true, which means that the statement is false.
q: (3*x)*(5*y) = 15*x*y
let's solve the left side:
3*x*5*y = 15*x*y
(3*5)*(x*y) = 15*x*y
15*x*y = 15*x*y
This is true for every value of x and y, then this statement is true.
The probability of spinning on yellow would be 1/3 because this is broken into 3 pieces and that would be the probability of something that has been broken into 3 pieces, and 1/3 in decimal form would be 0.33.
The probability of spinning a blue would be 1/2 because the blue is broken into 1/2 of the spinner, therefore the probability of spinning a blue would be 1/2, and 1/2 in decimal form would be 0.5.
Therefore your answers are,
Blue=0.5
Yellow=0.33
6x + 4 - x = 2(x+1)
First combine like terms on the left side:
6x-x - 5x
So you have 5x+4 on the left side.
Then use the distributive property on the right side:
2(x+1) becomes 2x +2
Now you have 5x +4 = 2x +2
Subtract 4 from each side:
5x = 2x -2
Subtract 2x from each side:
3x = -2
Divide both sides by 3:
x = -2/3
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..
