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den301095 [7]
3 years ago
15

On a recent trip to the convenience​ store, you picked up 3 gallons of​ milk, 6 bottles of​ water, and 8 ​snack-size bags of chi

ps. Your total bill​ (before tax) was ​$32.30. If a bottle of water costs twice as much as a bag of​ chips, and a gallon of milk costs ​$2.10 more than a bottle of​ water, how much does each item​ cost?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

The answers to the question are as follows

A bottle of water costs  $2.00

A gallon of mik cots $4.10 and

A bag of chips costs $1.00

Step-by-step explanation:

To solve the question, it is important to note that it is a word problem hence we read the question carefully to clearly understnd and be able to interprete the message from any perspective

We list out the variables as follows

Number of gallons of milk = 3

Number of bottles of water = 6

Number of chips bags = 8

Bill before tax = $32.30

Price of a bottle of water = twice the price of a bag of chips

Price of a gallon of mlk  = $ 2.10 + price of a bottle of water

Therefore in order to find out how much each item costs let us call the price of  bottle of water $x say

This means that the price of a bag of chips = x/2 and

The price of a gallon of milk = x + $2.10

Therefore  we have by multiplying the prices of the items to their respective quantities and summing up

$(6x + 3(x+2.1)+ 8 x/2) = $32.3

This gives by expanding the values 6x+3x+6.3+4x =32.3

13x+6.3 =32.3

13x = 32.3 - 6.3 = 26

Dividing both sides by 13 gives

x = $2.00

This means that a bottle of water costs  $2.00

A gallon of mik cots $2.00+$2.10 = $4.10

A bag of chips costs x/2 which is equal to $2.00/2 = $1.00

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Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by h(t) = -16\cdot t^{2}+12\cdot t +10, where h(t) is the height in feet and t, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

-16\cdot t^{2}+12\cdot t +10 = 10

-16\cdot t^{2}+12\cdot t = 0

Then, we simplify the expression by algebraic means:

-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0

Roots of the polynomial are, respectively:

t = 0\,s\,\lor \,t = 0.75\,s

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0
3 years ago
Find the mean, variance, and standard deviation. If necessary, round your answer to the nearest hundredth.
storchak [24]

Your answer would be 4.

4 0
3 years ago
BRAINLIEST ANSWER!!!!!
Shkiper50 [21]
Hmm....
I know that the first answer is a coin, but I'm not too sure about the second one.
8 0
3 years ago
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Can someone plz help me
Pie

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

  1. 3x + 15 = 117
  2. 3x = 117 - 15
  3. 3x = 102
  4. x = 102/3
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Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

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There were 605 people sitting in an auditorium at the start of a show. Thirty-five people left during the intermission. How many
sp2606 [1]

Answer:

570

Step-by-step explanation:

In order to get the answer, you simply subtract.. 605-35=570

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