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ivann1987 [24]
3 years ago
6

Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the c

oncession., all either sodas or bags of popcorn. Shana spent a total of $26 . Write a system of equations involving the number of sodas S ,and the bags of popcorn ,B .Solve the system to see how many of each shana bought
Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer: Shana bought 2 sodas.

Shana bought 5 bags of popcorn.

Step-by-step explanation:

Let S represent the number of sodas that Shana bought.

Let B represent the number of bags of popcorn that Shana bought.

Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that

S + B = 7

Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that

3S + 4B = 26 - - - - - - - - - - - - -1

Substituting S = 7 - B into equation 1, it becomes

3(7 - B) + 4B = 26

21 - 3B + 4B = 26

- 3B + 4B = 26 - 21

B = 5

S = 7 - B = 7 - 5

S = 2

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Analysis and observations in these two graphs
professor190 [17]

By critically observing the graph, we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

In conclusion, there are four (4) points of intersection on this graph.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

7 0
1 year ago
Simplify x + (7+14x)​
Brilliant_brown [7]

Answer:

15x + 7

Step-by-step explanation:

x + (7 + 14x)

x + 7 + 14x

15x + 7

8 0
3 years ago
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
3 years ago
What’s number 12 through 15 pls I need this ASAP
galben [10]

Answer:

12. 9

Step-by-step explanation:

12. Using Pythagoras theorem

let shortest distance be = x

8 square + 5 square = x square

64 + 25 = x square

89 = x square

Therefore x = square root of 89

Thus X = 9

8 0
3 years ago
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BARSIC [14]

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

4 0
3 years ago
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