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
What is the value of x that makes PQ←→||RS←→?
Inessa05 [86]

Answer:

x = 55

Step-by-step explanation:

For PQ and RS to be parallel then

∠ACQ = ∠RDB ( Alternate exterior angles ), thus

3x - 65 = 2x - 10 ( subtract 2x from both sides )

x - 65 = - 10 ( add 65 to both sides )

x = 55

3 0
3 years ago
Find the values of x and y.
Ipatiy [6.2K]
Value of X and Y is 90 and 26 respectively.
3 0
3 years ago
property of real numbers that states that the order in which numbers are added or multiplied dose not change the value​
timurjin [86]

Answer:

"Commutative property of addition and of multiplication"

Step-by-step explanation:

This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.

7 0
3 years ago
I'm not sure where to start and how to differentiate this.
Mazyrski [523]
The picture is not clear. let me assume y = (x^4)ln(x^3)

product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)

dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)

look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)

end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]

5 0
3 years ago
Thanos is convinced that (x+y+3)^2=x^2+y^2+9. Explain why he is incorrect. Draw a box diagram to prove your statement.
adoni [48]
Ummmmmmmmmmmmmmmmnmmmmmmmmm
8 0
3 years ago
Read 2 more answers
Other questions:
  • 1. 1/6 as a decimal and percent
    10·1 answer
  • The value of a car after t years can be found using the formula V = C(1 - r)t, where V is the current value of the car, C is the
    13·1 answer
  • Answer with work plssss
    8·1 answer
  • Write an equation of the line with the given slope and y-intercept
    10·1 answer
  • Hemant and Ajay start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in the lane an
    10·1 answer
  • How many songs can you play on sound cloud before a ad comes on
    12·1 answer
  • Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridde
    8·1 answer
  • A survey is targeted at 12-year-old children. Which questions are appropriate for the population?
    11·1 answer
  • I’ll give brainliest help a girl out
    11·2 answers
  • When two lines are cut by a transversal,if the alternate interior angles are equal in measure then the lines are parallel?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!