Complete question :
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries 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?
Answer:
No unique solution
Step-by-step explanation:
Given that:
Cost of supporting 3 legion aries and 3 archers = 10 denarius daily
Cost of supporting one legionary and one archer = 3 denarius
Let:
Legionaries = l ; archers = a
Equation for the first sentence :
3l + 3a = 10 - - - (1)
Second sentence :
l + a = 3 - - - - - (2)
From (2)
l = 3 - a
Substituting l = 3 - a into (1)
3(3 - a) + 3a = 10
9 - 3a + 3a = 10
9 - 0 = 10
The variable cancels out, Hence, ( there is no unique solution to find the cost of each soldier)
Answer:
No; the system has no solution.
Step-by-step explanation:
We'll use L to represent the cost per day of a legionary, and we'll use A to represent the cost per day of an archer. So we have the following system of equations:
3L+3A=10
L+A=3
If we multiply both sides of the second equation by 3, we get the equation 3L+3A=9
But this indicates that the cost to support 3 legionaries and 3 archers is 9 denarius. The first equation indicates that it costs 10 denarius to support 3 legionaries and 3 archers.
The cost cannot be 9 denarius and 10 denarius at the same time.
Henceforth the answer is:
No; the system has no solution.
What does * mean in mathematics?
Answer:
multiply
Step-by-step explanation:
for example:
4 * 5 = 20
other ways of writing multiply:
4 x 5 = 20
4(5) = 20
Answer:
Usually in math it is used to indicate multiplication.
Step-by-step explanation:
Most of the time people will use * instead of x for multiplication on a calculator or computer.
Hope this helps. Plz give brainliest.
Evaluate the following expression when a = -3, b = 2, c = 5, and
d = -4.
2a + 3b
Answer:
2a + 3b = 0
Step-by-step explanation:
So we are given that a = -3, b = 2, c = 5, and d = -4 and we are asked to evaluate the expression 2a + 3b. To evaluate the expression, we would have to plug in -3 for a, 2 for b, 5 for c, and -4 for d:
2a + 3b = 2(-3) + 3(2) = -6 + 6 = 0
So by evaluating the expression we get 0.
I hope you find my answer and explanation to be helpful. Happy studying.
Marco needs to buy some dog food at the nearest store five bags of dog food cost $27.50 how much would Marco spin on three bags of dog food
Answer:
16.5
Step-by-step explanation:
Answer: 16.50
Step-by-step explanation:
First, you need to divide 27.50 by 5. (It's easier to multiply the number by 100 so it's 2750, then divide the quotient by 100 to get the actual answer). Then after you divide 27.50 by 5 you will get 5.50. Multiply that by 3 and get 16.50!
This Equation has only one solution 5(x-1) +3x = 7(x + 1) its an emergancy
Answer:
12
Step-by-step explanation:
5(x-1) +3x = 7(x + 1)
5 × x - 5×1 + 3x = 7 × x + 7 × 1
5x-5+3x=7x+7
8x-5=7x+7
8x-7x=7+5
x=12
hope it helps you!!
given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes
Answer:
x = 20
Step-by-step explanation:
The angles are same side interior angles so the add to 180
3x-10 + 5x+30 = 180
Combine like terms
8x +20 =180
Subtract 20 from each side
8x+20 -20 =180-20
8x = 160
Divide by 8
8x/8 =160/8
x = 20
Answer: x = 25
Step-by-step explanation:
When lines are parallel, the same side interior angles are supplementary, meaning they add up to 180 degrees. So to find x, you would add the two expressions and make it equal to 180 degrees.
3x - 10 + 5x + 30 = 180
8x - 20 = 180
8x = 200
x = 25
The answer is x=25
Solve the equation
2(x+5)=-2
Answer:
x = -6
Step-by-step explanation:
Distribute the 2 into the brackets:
2x + 10 = -2
leave the 2x alone on one side:
2x = -2 -10
2x = -12
divide both sides by 2:
x = -6
Identify a pair of same-side interior angles
Answer:
I cant see the attachment
Step-by-step explanation:
???
Answer:
ITS 4 AND 7 Step-by-step explanation:
Four less than 5 times a number is the same as 26 more than twice the number.
Answer:
False
Step-by-step explanation:
5x - 4 versus 2x + 26
Imagine x equals 1, then the equations would be:
5(1) - 4 and 2(1) + 26
1 and 28 are not equivalent.
Another example would be x = 6
5(6) - 4 and 2(6) + 26
26 and 38 are not equivalent.
No matter what you replace x with, the expressions are never equal.
Identify all angles that are formed when parallel lines are cut by a transversal.
Answer:
I sorry I cant help with this problem
Which table represents a nonlinear function?
Answer:
The middle one
Step-by-step explanation:
Answer: The Middle Graph - represents a nonlinear function
Which shows the steps for performing long division in the correct order?
multiply, subtract, divide, repeat
multiply, divide, subtract, repeat
divide, subtract, multiply, repeat
divide, multiply, subtract, repeat
Answer:
divide, multiply, subtract, repeat
Step-by-step explanation:
first you divide then multiply subtract and repeat and then you will get your Answers
option d
Step-by-step explanation:
Between what two integers on a number line would 8√ be plotted?
Answer:
81 and 49
Step-by-step explanation:
The sign of the product of any two positive number is
Answer:
The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.
2.
8
6
4
2
1
2
4
6
8
10
-2
-4
"6
"8
)
Domain
Range =
Function: Yes or No?
Answer:
Note that the range is only the elements that were used. Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function. No x-value repeats.
Step-by-step explanation:because is a function
Y= 1/2x+5
2x + 3y = -6
Solution:
Answer:
ask your teacher
Step-by-step explanation:
Help pls I don’t get it it’s due in a few minutes
I think it's the first option
Answer:
The correct answer is A the slope will be -0.75
Step-by-step explanation:
See the chart below
Hope this helps.
19. the sum of twelve and sixteen divided by the sum of three and four
Answer:
4
Step-by-step explanation:
Add 12 and 16 ( 28 ) then add 3 and 4 ( 7 ) lastly, you will divide 28 and 7 to get 4
See attachment for math work and answer.
John went to an electronics store to purchase a new computer. The electronics store allowed John to make payments on the computer instead of paying the entire amount upfront. If John decides to purchase a computer that costs $1,260, and he makes 6 equal monthly payments, what would be his monthly payment?
Answer:
The monthly payment is $210
Step-by-step explanation:
The computation of the monthly payment is shown below:
Given that
The cost of the computer i.e. purchased is $1,260
And, there are 6 equal monthly payments
So, the monthly payment is
= Computer cost ÷ number of equal monthly payments made
= $1,260 ÷ 6 payments
= 210
hence, the monthly payment is $210 and the same is to be considered
what is the answer to this
A student wants to conduct an investigation to find out how much heat energy a 100-gram rock can transfer to water. He has the rock and 300 grams of water in an insulated container. The water is at 20°C. He heats up the rock to 50°C, and places it in the water. What is the most important data for the student to record for this investigation?
I need help with 7th grade science
Answer: The temperature change of the water
The most important data that the student would have to record for the investigation that he is carrying out is temperature.
What is temperature?This is the term that is used to refer to the degree of hotness or the degree of coldness of a given body.
The temperature is the solution here because the factor that the student is set to find out would be how heat is able to transfer to water.
The variable that would be used to represent heat is going to be temperature. This is what would help to determine the amount of heat that has transferred.
This can be checked with the use of a thermometer. The investigation that the student is carrying out here would be what is called a research study.
Heat is one of the variables that is used in the research study. Therefore we can conclude by saying that the most important data that is going to be used in this research would be what is called temperature.
Read more on research investigations here: https://brainly.com/question/25578076
#SPJ1
pls help me! i will give u brainliest
Answer:
1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational
Step-by-step explanation:
how can you determine whether a fraction is larger or smaller than 1/4
The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurricanes in the tropics this coming fall.
Is it deductive, indutive reasoning or a conjecture.
Answer:
Deductive reasoning
Step-by-step explanation:
Here, we want to know the kind of reasoning the statement is.
In this question, the kind of reasoning is deductive
In the deductive reasoning type, we go from general cases to specific cases
It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall
So we have gone from a general case to give a specific case
The kind of reasoning which is depicted by the statement given above is deductive reasoning.
From the statement, we are moving from a general perspective, which is the fact that, hurricane occurs every fall in the tropics. Using these general precedence, we deduce that the same event will occur again. We are basing a reasoning on a general fact, hence, the reasoning is deductive.Therefore, the reasoning in the scenario above is deductive.
Learn more :https://brainly.com/question/22645767?referrer=searchResults
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Write an
equation for the line parallel to the given line that contains C.
4
C(-2,5); y=5X-8
Answer fast please!!!
For problems 1 & 2 determine favg [tex]f(x)=8x−3+5e2−x on [0,2][/tex]for the function on the given interval
Answer:
hellooooo
Step-by-step explanation:
mkay
Pamela is 7 years older than Jiri. The sum of their ages is 53. What is Jiri's age?
Answer:
46
Step-by-step explanation:
if there ages in total is 53 and pamela is 7 years older than jiri
53-7 would give u jiri age
Slope intercept of (-2,2) (0,-2)
Answer:
-4/2
Step-by-step explanation:
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select THREE options.
•0
•5xy3
•9x2y
•8y4
•4xy3
Answer:
I JUST DID THE TEST ON EDGE. The answer is: A (0) C (9x2y) And E (4xy3)
Step-by-step explanation:
I hope this helps!!!
Answer:
the answer is a , c e :)
Step-by-step explanation:
"the advrage a of 2 numbers c and d is equal to half the sum of c and d " this whole qustion confuses the I am basically supposed to put it into a equation but it's just not clicking for me can you help?
Answer:
[tex] \frac{c + d}{2} [/tex]
Step-by-step explanation:
this is the equation used to find the average of two numbers.