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Nutka1998 [239]
4 years ago
7

Anton joined a golf club two years ago. He pays an annual membership fee of $895 and a greens fee of $30 each time he plays a ga

me of golf. The function below can be used to calculate the total yearly golfing fee, f (g), in dollars.
f (g) = 895 + 30g,

where g represents the number of times he played golf during the year. Last year he paid $2,065 as a total golfing fee. For how many games did he pay a greens fee?
Mathematics
1 answer:
ICE Princess25 [194]4 years ago
6 0
F(g) = 895 + 30g

-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------

2065 = 895 + 30g

30g = 2065 - 895 

30g = 1170

g = 39

-----------------------------------------------------------------
Answer: He played 39 games.
-----------------------------------------------------------------
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Lawrence sells 40% of the apples on his cart, and are left with 420 apples. How many apples had Lawrence started with?
lutik1710 [3]

Answer:

700 apples

Step-by-step explanation:

Let

x = Total number of apples in the cart

Percentage of apples sold = 40%

Number of apples sold = Percentage of apples sold * Total number of apples in the cart

= 40% * x

= 0.4 * x

= 0.4x

Number of apples left in the cart = 420

Total number of apples in the cart = Number of apples sold + Number of apples left in the cart

x = 0.4x + 420

x - 0.4x = 420

0.6x = 420

x = 420/0.6

x = 700

x = Total number of apples in the cart = 700

Lawrence started with 700 apples

4 0
3 years ago
Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)
11111nata11111 [884]

Answer:

4x² - 6x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
  2. Combine like terms (x²):                                                                                   4x² + 2y² - 3x + y² - 2x - 3y² - x
  3. Combine like terms (y²):                                                                                   4x² - 3x - 2x - x
  4. Combine like terms (x):                                                                                    4x² - 6x
4 0
3 years ago
What is the distance of P(1,-3) from y- axis​
madam [21]

Answer:

1 unit to the right

Step-by-step explanation:

The y-axis is the vertical line and the point (1,-3) is one unit to the right of the vertical line

3 0
3 years ago
Write an equation in slope-intercept form for the line with slope -6 and y-intercept 7. Then graph the line.
gavmur [86]
I can only give the equation right now, sorry.

y= -6x + 7
6 0
3 years ago
Read 2 more answers
Please help 14 points ASAP
grigory [225]

The desired measures for the data-set is given by:

  • Minimum: 48
  • Lower quartile: 54.
  • Median: 63.5.
  • Upper quartile: 74.
  • Maximum: 80.
  • IQR: 20

<h3>How to find the five number summary and interquartile range of the data-set?</h3>

The five number summary is composed by the measures explained below, except the IQR.

  • The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.
  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third quartile and the first quartile.

In this problem, we have that:

  • The minimum value is the smallest value, of 48.
  • The maximum value is the smallest value, of 80.
  • The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
  • The first quartile is the median of the five elements of the first half, hence it is of 54.
  • The third quartile is the median of the five elements of the second half, hence it is of 74.
  • The IQR is the difference between the quartiles, hence 74 - 54 = 20.

More can be learned about five number summaries at brainly.com/question/17110151

#SPJ1

8 0
2 years ago
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