To calculate the cost of a half-gallon jug of the same wine in dollars, convert liters to gallons, calculate the price per gallon, and convert pesos to dollars using the exchange rate.
To find out how much a half-gallon jug of the same wine would cost in dollars, we first need to convert liters to gallons. There are approximately 3.785 liters in a gallon. Thus, the volume of the 0.8-liter bottle of wine is approximately 0.8/3.785 = 0.211 gallons. Given that the price of the 0.8-liter bottle is 90 pesos, we can calculate the price per gallon as 90 pesos / 0.211 gallons.
Now, we need to convert pesos to dollars using the current exchange rate. Let's assume the exchange rate is 1 peso = 0.05 dollars. Multiplying the price per gallon by the exchange rate, we get the cost of the same wine in dollars per jug.
Therefore, the same wine would cost approximately ___________ dollars per jug.
The cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.
Let x be the cost of one hot dog and y be the value of one hamburger. we will set up a system of linear equations to solve for x and y:
From the first statement, we recognize that:
7x + 2y = 16.25 ----(1)
From the second statement, we know that:
2x + 7y = 17.50 ----(2)
We will use both substitution or elimination method to solve this system of equations. let's use elimination method right here. we are able to multiply equation (1) through 7 and equation (2) by 2 to eliminate y:
49x + 14y = 113.75 ----(3)
4x + 14y = 35 ----(4)
Subtracting equation (4) from equation (3), we get:
45x = 78.75
Dividing each sides by using 45, we get:
x = 1.75
Substituting x = 1.75 into equation (1), we can solve for y:
7(1.75) + 2y = 16.25
12.25 + 2y = 16.25
2y = 4
y = 2
Consequently, the cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.
Learn more about system of linear equations:-
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Answer:
3 and 9 both have factors 1 and 3 in common.
Explanation:
A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.
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Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
The rate of change is given as
which gives
Since the result is positive, the answer is the costs are increasing at a rate of $86 per item
Answer:
Absolute maxima an minma both occured at .
Step-by-step explanation:
Given function is,
subject to,
Let
To find absolute maxima and absolute minima using Lagranges multipliers method consider as the multipliers such that,
on compairing both side we get,
From (2),
Absolute maxima, at x=3, y=0, is,
Absolute minima, at x=3, y=0, is,
Hence the result.
Answer:
Step-by-step explanation:
1. System A is consistent and independent and unique solution
2. System B: inconsistent and no solutions
3. System C: consistent and dependent and infinite many solutions