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Finger [1]
3 years ago
13

4a + 3 = 15 What does (a) equal

Mathematics
2 answers:
olga2289 [7]3 years ago
5 0
4a + 3 = 15
- 3
4a = 12
÷ 4
a = 3
I hope this helps!
MrMuchimi3 years ago
4 0
4a+3=15
4a=12
a=12/4
a=3
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In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece
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Answer:

The system is:

                50m+200u\leq 1,000

                 u\leq 3

                 u\geq 0

                 m\geq 10

Step-by-step explanation:

The variables of your equations are:

       m=\text{number of marines}

       u=\text{number of upgrades}

The constraints, which become inequalities are:

<em><u>1. The total cost cannot be greater than 1,000 gold</u></em>

  • Cost of training m number of marines at 50 gold a piece:

               50m

  • Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

                200u

  • Total cost:

                50m+200u

  • The cost is limited to 1,000 gold that you are given:

                50m+200u\leq 1,000

          That is the first inequality of your system

<em><u>2. The game allows a maximum of three upgrades:</u></em>

  • This sets an upper bound for the variable:

                   u\leq 3

  • Add the reasonable constraint that the number of upgrades cannot no be negative:

                   u\geq 0

<em><u>3. You know that you need at least ten marines trained to survive </u></em>

  • This sets a lower bound for the variable:

                  m\geq 10

And those are all the four inequalities that form your <em>system to describe the number of marines and the number of upgrades you can train/purchae in the game:</em>

                50m+200u\leq 1,000

                 u\leq 3

                 u\geq 0

                 m\geq 10

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$246.75
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