On a recent trip to the convenience store, you picked up 3 gallons of milk, 4 bottles of water, and 7 snack-size bags ofchips. Your total bill (before tax) was $23.40. If a bottle of water costs twice as much as a bag of chips, and a gallon of
milk costs $2.20 more than a bottle of water, how much does each item cost?
Answers
Answer:
bottle of water: $1.60
gallon of milk: $3.80
bag of chips: $0.80
Step-by-step explanation:
First, the amount of groceries bought can be represented as:
where represents the cost of one gallon of milk,
represents the cost of a bottle of water,
represents the cost of one bag of chips.
We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.
"a bottle of water costs twice as much as a bag of chips"
→
"milk costs $2.20 more than a bottle of water"
Now, substitute these into the first equation and solve for w in terms of c.
So, one bottle of water costs $1.60.
To solve for the other items, plug the solved value into the 2-variable equations.
So, one gallon of milk costs $3.80.
So, one bag of chips costs $0.80.
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I have a 1.5% chance of winning when spinning a roulette. Approximately how many times would I have to spin the roulette to win?
Answers
Final answer:
The electric generator has an efficiency of approximately 66.67%, which means that 66.67% of the input energy is converted into usable electrical power.
Explanation:
The question wants to know about the efficiency of an electric generator. The efficiency of any engine or generator is defined as the ratio of useful energy output to the energy input. In this case, the energy input to the generator is 120 hp (horsepower) and the useful energy output (i.e electrical power) is 80 hp.
The formula used to calculate the efficiency is: Efficiency = (useful energy output / energy input) * 100% , Using this formula, the efficiency of the generator would be (80 / 120) * 100% = 66.67 % .
This means that 66.67% of the energy supplied to the generator is successfully converted into electrical power, while the rest is likely lost as heat or other forms of non-usable energy.
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abc14
determine whether each expression is a monomial
Answers
Answer:
15
Step-by-step explanation:
abcdefghijknobeughriuwekhjtwu4igrjsnbei
Answers
Answer:
D) a = 14, b = 6√2
Step-by-step explanation:
The given figure is trapezoid.
When we draw perpendicular to base "a", we get h = 6
From 45, 45, 90 degrees triangle, the ratio of sides 1:1:√2
since h = 6, b = 6√2
a = 8 + 6
a= 14
Therefore, a = 14 and b = 6√2
Thank you.
Answers
x + 6 =y
8 =2y ........ y = 8/2 = 4
4+6 =10
John is four & Jose is 10
Answers
Answer:
$560
Step-by-step explanation:
189 - 109 = $80 discount per night
80 x 7 = $560
Final answer:
By subtracting the discounted price from the original price, we find that the traveler saves $80 per night. Multiplied by the 7 nights in a week, the traveler would save a total of $560.
Explanation:
This is a simple subtraction and multiplication problem. The original cost of a night's stay at this hotel is $189, but it has been discounted to $109. To calculate the savings for one night, we subtract the discounted price from the original price: $189 - $109 = $80. That means the traveler saves $80 each night. A week has seven nights, so multiply $80 (savings per night) by 7 (nights in a week). The result is $80 * 7 = $560. So, if a traveler stays in such a room for one week, he would save $560.
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Answers
Answer:
A. -0.87
Step-by-step explanation:
The correlation coefficient is a measure of the strength and nature of the linear relationship between two variables, one dependent and one independent. This coefficient takes values between -1 and 1, indicating with its sign whether the relationship is direct or inverse between the variables involved and with its absolute value indicates the strength of the linear relationship between them. A coefficient with absolute value close to 1 indicates great strength and better fit.
Conclusion: The best coefficient, of the propuetso in the problem, is that of -0.87, which indicates a strong relationship between the variables, a good fit and an inverse relationship between them.