Suppose you earned 6t + 2 dollars on Monday and 9t – 6 dollars on Tuesday. What were your total earnings? Simplify your answer.
To find the total earnings, we need to add the earnings from Monday and Tuesday:
6t + 2 dollars + 9t – 6 dollars
Combining like terms:
(6t + 9t) + (2 dollars – 6 dollars)
15t – 4 dollars
Therefore, your total earnings were 15t – 4 dollars.
f^2 x f^4
When multiplying expressions with the same base, we add the exponents.
f^2 multiplied by f^4 can be written as f^(2+4) = f^6.
Therefore, f^2 x f^4 is equal to f^6.
100^12/100^8
When dividing expressions with the same base, we subtract the exponents.
100^12/100^8 can be written as 100^(12-8) = 100^4.
Therefore, 100^12/100^8 is equal to 100^4.
To find the total earnings, we need to add the earnings on Monday and Tuesday. The earnings on Monday were given as 6t + 2 dollars, and the earnings on Tuesday were given as 9t - 6 dollars.
Therefore, the total earnings can be found by adding these two expressions:
Total earnings = (6t + 2) + (9t - 6)
To simplify this expression, we can combine like terms:
Total earnings = 6t + 2 + 9t - 6
Next, we can group the terms with 't' together and the constant terms together:
Total earnings = (6t + 9t) + (2 - 6)
Simplifying further:
Total earnings = 15t - 4
So, the total earnings, after simplifying, are 15t - 4 dollars.
To find the total earnings, we need to add the earnings from Monday and Tuesday.
On Monday, you earned 6t + 2 dollars, and on Tuesday, you earned 9t – 6 dollars.
To add these two expressions, we can combine the like terms.
The like terms in this case are the terms with the same variable 't'. In this case, we have 6t from Monday and 9t from Tuesday.
Combining these like terms, we get: 6t + 9t = 15t.
Next, let's combine the constant terms. We have 2 dollars from Monday and -6 dollars from Tuesday.
Combining these constant terms, we get: 2 - 6 = -4.
Putting it all together, the total earnings can be simplified as follows:
Total earnings = 15t + (-4) = 15t - 4
Therefore, your total earnings can be expressed as 15t - 4 dollars.