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swat32
2 years ago
6

You spend $11 on school supplies. You purchase pencils of $0.25 each and pens for $2 each. You purchase a total of 30 pencils an

d pens. How many of each did you purchase? A. Identify your variable(s) B. Write the equation(s) C. Solve the equation
Mathematics
1 answer:
Klio2033 [76]2 years ago
5 0

28 pencils and 2 pens

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Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence                 Year seen          Difference

1                                      1949                       -  

2                                     1956               1956 - 1949 = 7

3                                     1963               1963 - 1956 = 7

4                                     1970                1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = \frac{56}{7}=8 times

Total number of comet seen in the lifetime = 8 times

5 0
2 years ago
What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi
charle [14.2K]

Answer:

one

Step-by-step explanation:

:O

10 0
2 years ago
Read 2 more answers
By how many factors of 10 did you multiply 0.008? Why?
Tamiku [17]

Answer: 3

Step-by-step explanation:

Move the decimal back to its point of origin

7 0
2 years ago
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Elenna [48]

Answer:

y = -\frac{4}{3}x + 9

Step-by-sep explanation:

To create an equation that represents the shortest oath of the swimmer that is perpendicular to the shoreline, we need to find the slope, m, and the y-intercept, b.

The slope of the path would be the negative reciprocal of the slope of the shoreline, since they are perpendicular.

Let's find the slope of the shoreline.

Using two points on the shoreline, (0, 1) and (4, 4),

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}

Therefore the slope, m, of the swimmer's path that is perpendicular to the shoreline would be -⁴/3.

Use the point of the swimmer and the slope of the path to find b.

Substitute m = -⁴/3, (x, y) = (6, 1) in y = mx + b

1 = (-\frac{4}{3})(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Now that we know the slope, m = -⁴/3, and the y-intercept, b = 9, plug in their values into y = mx + b.

The equation of the path would be:

y = -\frac{4}{3}x + 9

5 0
2 years ago
The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is
Over [174]

Answer:  D. 15

Step-by-step explanation:

Given : The revenue each season from tickets at the theme part is represented by t(x) = 5x .

The cost to pay the employees each season is represented by r(x) = (1.5)x.

From the given graph , we can see that at 4th season, the profit = 15

Hence, the estimated profit after four seasons. =15

8 0
2 years ago
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