A 0.8-liter bottle of Mexican wine costs 90 pesos. At that price, how much would a half-gallon jug of the same wine costin dollars?
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The same wine is approximately dollars per jug.
(Round to the nearest cent as needed.)

Answers

Answer 1
Answer:

Final answer:

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.


Explanation:

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.


Learn more about converting units here:

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At a concession stand, seven hot dogs and two hamburgers cost $16.25; two hot dogs and seven hamburgers cost $17.50. Find the cost of one hot dog and the cost of one hamburger.

Answers

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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• Which factors do 3 and 9 have in common? Choose ALL that apply.1
2
3
4
5
6
7
8
9
10

Answers

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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3 and 9 are the only ones that are in common for both 3 and 9

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

I’m fairly sure it’s increasing, I just can’t tell by how much

Answers

The rate of change is given as

\text{rate}=(48400-46680)/(550-530)

which gives

\begin{gathered} \text{rate}=(1720)/(20) \n \text{rate}=86 \end{gathered}

Since the result is positive, the answer is the costs are increasing at a rate of $86 per item

The function ​f(x,y,z)equals2 x plus z squared has an absolute maximum value and absolute minimum value subject to the constraint x squared plus 2 y squared plus 3 z squaredequals16. Use Lagrange multipliers to find these values.

Answers

Answer:

Absolute maxima an minma both occured at (25)/(3).

Step-by-step explanation:

Given function is,

f(x,y,z)=2x+z^2\hfill (1)

subject to,

x^2+2y^2+3z^2=16\hfill (2)

Let g(x,y,z)=x^2+2y^2=3z^2-16

To find absolute maxima and absolute minima using Lagranges multipliers method consider \lambda as the multipliers such that,

\nabla f=\lambda \nabla g

\leftrightarrow (2, 0 ,2z )=\lambda (2x, 4y, 6z)

on compairing both side we get,

2z=6\lambda z\implies \lambda=(1)/(3)

4\labda y=0\implies y=0

2=2\lambda x\implies x=(1)/(\lambda)=3

From (2),

x^2+2y^2+3z^2=16

\implies 9+0+3z^2=16

\implies z=\pm\sqrt{(7)/(3)}

Absolute maxima, at x=3, y=0,z= \sqrt{(7)/(3)} is,

|f(x,y,z)|_(max)=(2x+z^2)_(3,0,\sqrt{(7)/(3)})=(2*3)+(7)/(3)=(25)/(3)

Absolute minima, at x=3, y=0, z= -\sqrt{(7)/(3)} is,

|f(x,y,z)|_(max)=(2x+z^2)_(3,0,-\sqrt{(7)/(3)})=(2*3)+(7)/(3)=(25)/(3)

Hence the result.

PLS HELPPP ITS NOT THAT HARD

Answers

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