It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(t) = .25t + 1, for t > 10. Find the number of fish that can be caught if you fish for 15 minutes. Round your answer to the nearest whole number.
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Answer:
Step-by-step explanation:
We're going to have to work backwards.
The sum of 4 and k is 
.
Half is simply that divided by 2.
Now, we'll subtract 8 from it.
Bam!
Answer:
The total amount that the consumer had to pay for both products was $ 94.50.
Step-by-step explanation:
Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:
(50 + 40) x 1.05 = X
90 x 1.05 = X
94.5 = X
Therefore, the total amount that the consumer had to pay for both products was $ 94.50.
