answer.
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
artcher [175]
2 years ago
14

Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 867 po

ints. The number of two-point field goals that Lindsey made was 66 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 36 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 Lindsey Smith made during the 2006 regular season. How many free throws, 3 pointers, and 2 pointers did she make?
Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total point = 867

Let :

number of 3 point goals = p

Number of 2 point goals = 2p - 66

Number of 1 point goals = (2p - 66) - 36 = 2p - 102

Hence,

3p + 2(2p - 66) + 2p - 102 = 867

3p + 4p - 132 + 2p - 102 = 867

3p + 4p + 2p - 234 = 867

9p - 234 = 867

9p = 867 + 234

9p = 1101

p = 122.33

2 pointer = 2p - 66

2(122.33) - 66 = 178.67

1 point = 2p - 102

2(122.33) - 102

= 142.67

Note: you may need to recheck the parameters given, because the expected result should be whole numbers

You might be interested in
Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times
MatroZZZ [7]

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

5x+9=5\cdot 6+9=30+9=39

5 0
2 years ago
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
Phantasy [73]
$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.
4 0
1 year ago
$1.12 for 8.2 ounces? Unit Rate
Reil [10]
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
4 0
2 years ago
The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years. Based on th
elena-14-01-66 [18.8K]

Answer: 0.9013

Step-by-step explanation:

Given mean, u = 10, standard deviation =8

P(X) =P(Z= X - u /S)

We are to find P(X> or =12)

P(X> or = 12) = P(Z> 12-10/8)

P(Z>=2/8) = P(Z >=0.25)

P(Z) = 1 - P(Z<= 0.25)

We read off Z= 0.25 from the normal distribution table

P(Z) = 1 - 0.0987 = 0.9013

Therefore P(X> or=12) = 0.9013

Note the question was given as an incomplete question the correct and complete question had to be searched online via Google. So the data used are those gotten from the online the Googled question.

3 0
2 years ago
se the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). f(x, y) = 9x2y x4 + y
alexandr1967 [171]

Answer:

It is proved that f_x, f_y exixts at (0,0) but not differentiable there.

Step-by-step explanation:

Given function is,

f(x,y)=\frac{9x^2y}{x^4+y^2}; (x,y)\neq (0,0)

  • To show exixtance of f_x(0,0), f_y(0,0) we take,

f_x(0,0)=\lim_{h\to 0}\frac{f(h+0,k+0)-f(0,0)}{h}=\lim_{h\to 0}\frac{\frac{9h^2k}{h^4+k^2}-0}{h}\\\therefore f_x(0,0)=\lim_{h\to 0}\frac{9hk}{h^4+k^2}=\lim_{h\to 0}\frac{9k}{h^3+\frac{k^2}{h}}=0    exists.

And,

f_y(0,0)=\lim_{k\to 0}\frac{f(h,k)-f(0,0)}{k}=\lim_{k\to 0}\frac{9h^2k}{k(h^4+k^2)}=\lim_{k\to 0}\frac{9h^2}{h^4+k^2}=\frac{9}{h^2}   exists.

  • To show f(x,y) is not differentiable at the origin cheaking continuity at origin be such that,

\lim_{(x,y)\to (0,0)}\frac{9x^2y}{x^4+y^2}=\lim_{x\to 0\\ y=mx^2}\frac{9x^2y}{x^4+y^2}=\frac{9x^2\times m x^2}{x^4+m^2x^4}=\frac{9m}{1+m^2}  where m is a variable.

which depends on various values of m, therefore limit does not exists. So f(x,y) is not continuous at (0,0). Hence it is not differentiable at (0,0).

4 0
2 years ago
Other questions:
  • Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron
    9·2 answers
  • Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
    9·2 answers
  • Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s
    7·1 answer
  • The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the
    5·2 answers
  • Barbara is 142 cm tall this is 2 cm less than 3 times her height at birth find her heaight at birth
    5·1 answer
  • Write (3p^3)^2 without exponents
    15·1 answer
  • 3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
    6·1 answer
  • An engineer is trying to produce as much hydrogen gas as the company can using the equipment they have.
    10·1 answer
  • A cylinder has a volume of 200 mm3 and a height of 17 mm.
    10·1 answer
  • Which statement is NOT true about Rational Numbers ? ( 2 answers ) a . Whole Numbers are Rational Numbers b . Integers, Whole Nu
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!