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Gnoma [55]
3 years ago
10

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legi

onaries and 3archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Mathematics
2 answers:
Romashka [77]3 years ago
3 0

Answer:

We can not solve for a unique cost for each soldier.

Step-by-step explanation:

Let x be the daily cost for legionaries and y be the daily cost for archers.  

Upon using our given information we will get a system of linear equations as:

3x+3y=10...(1)

x+y=3...(2)

Now we will solve for x from our 2nd equation,

x = 3-y

Now we will substitute this value in our 1st equation.

3(3-y)+3y=10

9-3y+3y=10

We can see that -3y cancels out with 3y  and 9 is not equal to 10. So this is an unsolvable system. Therefore, we can not find a unique cost for each soldier.


Step2247 [10]3 years ago
3 0

Answer: No solutions

Step-by-step explanation:

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Read 2 more answers
the wholesale price for a pair of shoes is $5.50. A certain department store marks up the wholesale price by 40%. Find the price
Furkat [3]

EXPLANATION

Price of shoes = $5.50

Markup= 40%

Let's call x to the unknown final price.

The markup percentage relationship is given by the following formula:

\text{Markup =( }\frac{Selling\text{ Price}-\text{Cost Price}}{\text{Cost Price}})\cdot100

Replacing terms:

\text{40}=(\frac{x-5.5}{5.5})\cdot100

Multiplying both sides by 5.5:

40\cdot5.5=(x-5.5)\cdot100

Dividing both sides by 100:

\frac{40\cdot5.5}{100}=x-5.5

Adding 5.5 to both sides:

(\frac{40\cdot5.5}{100})+5.5=x

Simplifyng the fraction:

2.2+5.5=x

Adding numbers:

\text{7}.7\text{ = x}

Switching sides:

x=7.7

Answer: The final price of the shoes in the deparment store is $7.7

6 0
1 year ago
Jeremy can row 3 miles in 12 hours. How long will it take him to row 1 mile
Zarrin [17]

By using division, it can be calculated that

Jeremy can row 1 mile in 4 hours

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Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

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This is a word problem on division

Jeremy can row 3 miles in 12 hours

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To learn more about division, refer to the link:

brainly.com/question/25289437

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