Rebecca Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 863 points. The number of​ two-point field goals that Rebecca made was 80 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 13 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Smith made during the 2006 regular season.

Answers

Answer 1

Answer:

Number of free throws = 155,

Number of two-points field goals= 168

Number of two-points field goals= 124

Step-by-step explanation:

Let x,y, and z be the numbers of free throws, two-point field goals and three-point field goals she made.

As she scored a total of 863 points, so

x+2y+3z=863...(i)

As the number of​ two-point field goals  that Rebecca made was 80 less than double the number of​ three-point field goals she made, so

2z-y=80

Or y=2z-80...(ii)

As the number of free throws​ (each worth one​ point) she made was 13 less than the number of​ two-point field goals she made, so

y-x=13

-x= 13-y

-x= 13-(2z-80)

-x= 93-2z

x=2z-93...(iii)

Now, put the values from equation (ii) and (iii) to equation (i), we have

(2z-93)+2(2z-80)+3z=863

2z-93+4z-160+3z=863

9z=863+93+160=1116

z=1116/9=124

From equation (ii)

y=2x124-80=168

and from equation (iii)

x=2x124-93=155.

Hence, the number of free​ throws, two-point field​ goals, and​ three-point field goals Rebecca Smith made during the 2006 regular season are 155, 168, and 124 respectively.


Related Questions

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please
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Answers

Answer:

It is rational because the answer is -3

Step-by-step explanation:

-3 can be writen as a fraction so it is a rational number.

Answer:

That is a rational number

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3.

Therefore, -[tex]\sqrt{9}[/tex] = -1(3) = -3.

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Step-by-step explanation:

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, -2)

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Answer:

Step-by-step explanation:

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Answer:

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1. Write 1980 in scientific notation

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Answer:

1.98 x 10³  

Step-by-step explanation:

1980  

= 1.98 x 1000   (note 1000 can be written as 10³)

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Since -6 is negative, it makes it become a positive when multiplyed, and then back to a negative when multiplyed again.

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Answers

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Step-by-step explanation:

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Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

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Which of the statements is also true in Spherical geometry?

Answers

I think all of them are true

(11x - 1)
(20x – 3)
151°

Answers

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

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Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

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To identify the omitted angle between 180 and 151 degrees

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Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.

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Answers

Answer

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Step-by-step explanation:

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A savings account balance can be modeled by the graph of the linear function shown on the grid.

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Answers

2) 100 per deposit
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Answers

m = -9/8 (slope)

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_________________________

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Answers

Answer:

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Answer:

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Answers

Answer:

1. Two angles are called complementary when their measures add to 90 degrees.

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Please consider Brainliest :)

write an equation that is parallel to the equation (-3,-5) and (1,7) and goes through the point (2,4)

Answers

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Answers

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It should be 1/2

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Answers

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Step-by-step explanation:

16
Which of the following expressions are equivalent to 25 -
5
? Select all that apply.
1 16
25 5
(25x16)
5
(25x5)
16
125
16
0 0 0
1
25
х
5
16

Answers

Answer:

1,16, that is the answers

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1. $45

2. $18

3. $50

4. $200

Answers

Answer:

50$

30÷0.6 so yeah it's number 3

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Answers

Answer:

the answer is B!! hopefully this helps

At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let J represent the amount of money John has saved tt weeks after the beginning of the year and let I represent the amount of money Isaac has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answers

john- 40+t13= j
isaac- 80+t9=i
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isaac- 80+(10•9)= 170

PLEASE HELP A GIRL OUT !!!!!!! UwU
Explain how to write a linear equation from a word problem in the slope-intercept form. Explain in detail what words you are looking for in the problem. Use complete sentences. Must inlclude capital letters and punctuation where needed.

Answers

It depends on the problem, but here's an example.

Let's say you earn $20 an hour and you already have $100 in the bank. If you work x hours, then you'll have 20x additional dollars on top of the $100 you already have. So in total you have y = 20x+100 dollars

x = number of hours worked

y = total amount of money

This does not take into account taxes or other kinds of fees/deductions from your paycheck.

Comparing y = 20x+100 with y = mx+b, the slope is m = 20 and the y intercept is b = 100.

The slope tells us how fast the money increases (since it's the rate of change). In this case, slope = rise/run = 20/1 meaning that for each hour, the money goes up by $20.

The y intercept is the starting value which in this case is $100. If you worked x = 0 hours, then you'll still have that $100.

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70°
12x + 14

Answers

Answer:

[tex] \frac{14 }{3} [/tex]

Step-by-step explanation:

12x=70-14=56

x=

[tex] \frac{56}{12} = \frac{14}{3} [/tex]

Write the number in scientific notation: 0.00000199?

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

1.99

×

10

6

Step-by-step explanation:

if y=40 when x=16, find y when x=10.

Answers

Answer:

25

Step-by-step explanation:

Y/10 = 40/16

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