Step-by-step explanation:
Substitute X for the amount Annie spent
4x-$64 = 100
4x = $164
x = $164/4
x = $41
Answer:
there is a 0.0009765625 in 1 chance that he got 100%.
Step-by-step explanation:
possibility of getting a question right: 1/4
# of questions: 5
(1/4)^5 is 0.0009765625
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
When exponents are separated by a parenthesis it means you need to add them. Because the parenthesis is around the entire number then you raise everything inside the parenthesis to the outside exponent. Then anything raised by 0 as an exponent is automatically 1.
You think of this visually as 3a*3a*3a= 27a^9 is your answer
Answer:
0.916 or 229/250
Step-by-step explanation:
divide 11 by 12
