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Andru [333]
3 years ago
6

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarii per day to support 4 legio

naries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

The system cannot be solved by a unique cost for each soldier, because has infinite solutions

Step-by-step explanation:

Let

x-------> the cost of a legionary per day

y-------> the cost of an archer per day

we know that

4x+4y=10 ------> equation A

2x+2y=5 ------> equation B

Multiply equation B by 2 both sides

2(2x+2y)=2*5 -------> 4x+4y=10

so

equation A and equation B is the same equation

therefore

This is a consistent dependent system

The system has infinite solutions

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Answer:

When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient.

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Find the slope of the line that passes through the pair of points. ​(negative 44.29−44.29​,4.84.8​) and ​(5.295.29​,3.53.5​)
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3 years ago
Help number 5 15 pointsss
r-ruslan [8.4K]

Answer:

x=101

Step-by-step explanation:


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3 years ago
Read 2 more answers
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SVETLANKA909090 [29]

Answer:

Question 1: 11%

Question 2: 89%

Question 3: 43%

Question 4: 11%

Step-by-step explanation:

Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.

Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.

Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.

Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.

I hope this helps you! ^w^

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3 years ago
Read 2 more answers
Help me out asap!please and thank you
irga5000 [103]

Answer:

c. (5, -2)

Step-by-step explanation:

as we can clearly see, the 4th vertex has to be on the positive side of x.

therefore, all answer options with negative x are out.

(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.

that leaves only c as right answer.

FYI - how to get this without predefined answer portions ?

the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.

so, x of D must be 5.

the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.

so, y of D must be -2.

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1 year ago
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