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Darina [25.2K]
3 years ago
12

Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

How many games must you make and sell before your business breaks even?
a. 500 games
c. 600 games
b. 550 games
d. 650 games
Mathematics
1 answer:
leva [86]3 years ago
3 0
Let x= number of board games 
<span>20x=10410+2.65x </span>
<span>-2.65 -2.65 </span>
<span>17.35x=10410 </span>
<span>/17.35 /17.35 </span>
<span>x=600 </span>
<span>You would need to sell at least 600 board games to break even</span>
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Step-by-step explanation:

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Nataly_w [17]

Answer:

Option B is correct = 0.3 \times 81

Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) \frac{30}{100}\times 81 \times 100

(B) 0.3 \times 81

(C) 0.03 \times 81

(D) \frac{3}{10}\times 81 \times 10

(E) 30 \times 81

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  \frac{30}{100} \times 81

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Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

\frac{30}{100}\times 81 \times 100  =  30 \times 81

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

0.3 \times 81  

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

0.03 \times 81  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

\frac{3}{10}\times 81 \times 10  =  3 \times 81

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

30 \times 81  

This doesn't match with our answer, so this option is not correct.

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Read 2 more answers
2[18-(5+9)÷7]<br>show how you did it
Alex777 [14]
Order of operations

PEMDAS
do parntheases
then exponents
then mutiply or divide, whichever coms first
then addd or subtract, whichever comes first

so

when doing parenthases, simplify innermost parenthsees first

so

2(18-(5+9)/7)
innermost is (5+9)=14

now we gots
2(18-(14)/7)
we can distribute or multiply the invisible -1 in front of the 14

2(18-14/7)
now divide because division comes before adition
remember that it is -14/7, not just 14/7 because the negative is part of the 14

2(18-2)

now simplify parenthasees
18-2=16
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