1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
3 years ago
13

Rebecca Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 846

points. The number of​ two-point field goals that Rebecca made was 77 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 30 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 Wilson made during the 2006 regular season.
Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = x

Let the number of three point goals = y

Let the number of free throws = z

As per the given statements:

x = 2y-77 ...... (1)

z = x-30 ...... (2)

Using equation (1):

z = 2y-107 ...... (3)

Total number of points from two point goals  = 2x

Total number of points from three point goals  = 3y

Total number of points from free throws  = z

2x+3y+z=846

using (1) and (3):

2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123

By (1):

x = 2\times 123-77 =169

By (3):

z =2\times 123-107 = 139

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

You might be interested in
Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
3 years ago
A soccer game is 90 minutes long. 36 minutes have passed. What percentage of the game has passss?
Dafna1 [17]

Step-by-step explanation:

60 percentage hass passes

7 0
3 years ago
Read 2 more answers
What is the inverse of f(x)=1/17x-3​
Zielflug [23.3K]

Answer:

17x+51

Step-by-step explanation:

6 0
3 years ago
Rectangle WXYZ was dilated to create W'X'Y'Z'.
Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

 

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

 

Answer:

<span>0.5 units</span>

4 0
3 years ago
Read 2 more answers
A triangle has side lengths measuring 3x cm, 7x cm, and hcm Which expression describes the possible values of h, in cm?
GREYUIT [131]

Answer:

OLX is your answer if 10 x

4 0
3 years ago
Other questions:
  • Elijah and his sister went to the movies. They had $34 altogether and spent $9.50 per ticket. Elijah and his sister bought the s
    7·1 answer
  • Regular hexagon ABCDEF is inscribed in a circle with center H. What is the image of segment BC after 120 degree clockwise rotati
    10·1 answer
  • How do I graph y=3/2x-2
    11·1 answer
  • What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?
    11·2 answers
  • in the year 2013 the population of California was about 38,332,521 people write the estimated population of a single digit times
    5·1 answer
  • Find the value <br><img src="https://tex.z-dn.net/?f=%282x%290" id="TexFormula1" title="(2x)0" alt="(2x)0" align="absmiddle" cla
    13·1 answer
  • How did the hundredths grid model help you calculate percents greater than 100% and percents expressed using decimals and fracti
    11·1 answer
  • Decide whether wolves should or should not be a protected species.
    10·1 answer
  • Question 11 Multiple Choice Worth 5 points)
    5·1 answer
  • Pls help ill give brainliest<br><br> a=<br> x=
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!