Well this is considerably easy!
Create equivalent expressions in the equation that all have equal bases.
2^x=2^4
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=4
Verify each of the solutions by substituting them into 2^x=16
and solving.
x=4
Answer: 3/5
Step-by-step explanation:
The price of 1 shirt is x and 5 shirts is 5x but she pays for only 3 of them. You would divide 5 by 3 giving you 3/5 which would be the cost of all the shirts
Answer:
to examine the ratio y/x (instead of x/y). If the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y. In this example, that number is 3 (y = 3x), and is called the constant of proportionality.
Step-by-step explanation:
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:

Replacing in the first equation:





So Sasha exercises 7 hours per week.
Max:



Max exercises 13 hours a week.