Sarah Drew was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 856 points. The number of​ two-point field goals that Sarah made was 67 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 32 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 Sarah Drew made during the 2006 regular season.

Answers

Answer 1

Answer:

Free throws= 309 goals

Two-point field​ goals=341 goals

Three-point field goals=204goals

Step-by-step explanation:

This is a word problem, let us bring out all varibles

Let the number of three-point field goals =x

Two-point field goals=  2x-67

Free throws =(2x-67 )-32

     Free throws =2x-67-32

     Free throws =2x-99

Hence the mathematical expression for the total goals is

x+2x-67 +2x-99= 856

collecting like terms

x+2x+2x-67-99=856

5x-166=856

5x=856+166      

5x=1022

divide both sides by 5 we have

x=1022/5

x=204.4

hence

1. Three-point field goals=204goals

2. Two-point field goals=  2x-67

    =2(204)-67  

    =408-67

    =341 goals

3.  Free throws =2x-99

    =2(204)-99

    =408-99

    =309 goals

     


Related Questions

Mrs. Snell's math test has twenty questions and is worth 100 points. The test consists of multiple choice questions worth 3 points each and short answer questions worth 11 points each. How many multiple choice questions are on the test? Explain how you determined your solution.

Answers

Answer:

The number of multiple-choice questions are 15.

Step-by-step explanation:

Mrs. Snell's math test has twenty questions and is worth 100 points.  

The test consists of multiple-choice questions and short answer questions.

Let M represents the Multiple choice questions.

Let S represents the short answer question.

It is given that the total number of question are 20.

[tex]S+M=20[/tex]    ...(1)

Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.

[tex]11S+3M=100[/tex]    ...(2)

Multiply equation (1) by 3 and subtract from equation (2).

[tex]11S+3M=100\\3S+3M=60\\\underline{-\:\:\: -\:\:\:\:\:\:\:\:-\:\:\:\:\:\:}\\8S\:\:\:\:\:\:\:\:\:\:\:\:\:=40\\S\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=5[/tex]

The total number of short answers is 5.

Put S=5 in equation 1.

[tex]5+M=20\\M=15[/tex]

Hence, the number of multiple-choice questions are 15.

How do you prove that two lines are parallel

Answers

Answer:

they are side by side but not intersect

Answer:

If they are side by side and do not cross

Step-by-step explanation:

Hope this helps :D

In a weighted average, some values are worth more than others in computing an average value. A teacher gives a quiz, a test, and a final exam. The expression $\frac{q+3t+5f}{9}$ gives the weighted average of the scores where $q$ is the quiz score, $t$ is the test score, and $f$ is the final exam score. What is the weighted average for a student who scores 86 on the quiz, 75 on the test, and 80 on the final exam?

Answers

Answer:

The weighted average score of the student is 79

Step-by-step explanation:

Here, we want to calculate the weighted average score for the student.

To calculate this, we shall be using the given expression;

The expression to calculate the weighted average score is given as;

(q + 3t + 5f)/9

Thus using the scores of the student, we have;

(86 + 3(75) + 5(80))/9

= (86 + 225 + 400)/9 = 711/9 = 79

If SU= 2x - 12, find SU

Answers

SU = 2x - 12
+12 on both sides
12 = 2x
/2 on both sides
6 = x

x = 6

SU = 2x - 12
SU = 2(6) - 12
SU = 12 - 12
SU = 0

Answer:
SU = 0

Plz do this one too 2(x+7)−2(x−10)

Answers

Answer:

34

Step-by-step explanation:

Distribute

2x+14-2x+20

Combine like terms

34

Answer:

34

Step-by-step explanation:

Remember to do PEMDAS, multiply the number out side of the parentheses with what 9s inside of them.

To build a computer, you need to buy a motherboard for 120 dollars, a CPU for
100 dollars, RAM memory for 45 dollars, storage for 30 dollars, a case for 15
dollars, and a power supply for 50 dollars. What is the cost of building 10
computers?
I got 3600 dollars as my answer, is my answer correct?

Answers

Answer:

Your answer is correct. Good job!

Step-by-step explanation:

I will give brainlest
Sean wrote the expression 72 + 42. Rana used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Rana write?


6(19)

6(12 + 7)

12(6 + 4)

2(36 + 21)

Answers

The answer is 6(12+7) because the highest common factor of 72 and 42 is 6. (12•6=72 and 6•7=42)
The Awnser is b................

please help me the question is in the photo​

Answers

• Donny's bagels is the better deal.

1. It have Lower ratio.

2. Bob's bagels are 10 for $11
Unit price for Bob's bagels = $11 / 10 bagels = $1.10 per bagel

Donny's bagels are 4 for $3
Unit price for Donny's bagels = $3 / 4 bagels = $0.75 per bagel

3. Donny has the better deal, because Donny's unit price is less than that of Bob's ( each of Donny's bagels cost less than each of Bob's bagels).

who is nepali prime minister

Answers

The prime minister of Nepal is K.P ( Khadga Prasad) Sharma Oli.

The present primeminister of Nepal is Sher Bhadur Deuba...............

2x + 3 = x -4 thats my question​

Answers

Answer: -7

Step-by-step explanation:

Subtract xx from both sides.

2x+3-x=-42x+3−x=−4

2 Simplify  2x+3-x2x+3−x  to  x+3x+3.

x+3=-4x+3=−4

3 Subtract 33 from both sides.

x=-4-3x=−4−3

4 Simplify  -4-3−4−3  to  -7−7.

x=-7x=−7

Pls help
Will award brainlist thing answer all the questions pls

Answers

Answer:

1. 5/-6

2. 1

3. 2/7

4. 5/3

5. 8/3

6. 3/-5

20 POINTS PLEASE HELP ME WITH GEOMETRY

Answers

Answer:

5: d

6: c

7: parallel ‌ ‌ ‌ ‌ ‌ ‌ ‌

5 and a half minus 7 equals

Answers

Answer:

-9/5; -1 4/5; -1.8

Step-by-step explanation:

A $5,$10,$20,$50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill. Tell whether this situation represents a function. Explain your reasoning. If the situation represents a function, give the domain and range.

Answers

Answer:

This situation represents a function. The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.

Step-by-step explanation:

Firstly, we need to know what a function is:

It is simply something that relates an input to an output. Like for instance a mirror is a function that relates your face to your image. In lay terms we can call something a function if and only if it can relate one thing to another. Mathematically, a function is called a function if and only if every input has a distinct output, just as how one face can't produce two images at a time when looked at the mirror. The input is called the domain and output range.

Now, in the question we are told that all the bills are mapped – related in lay terms – to some set of coins that are exactly the same number of the bills. This means each bill has a distinct input. Here is a clearer picture:

A to 5 usd

B to 10usd

C to 20usd

D to 50usd

E to 100usd

Where A, B, C, D and E respectively stand for the distinct coins that are mapped to the distinct bill.

From here, each coin has it distinct output. Therefore it is a function.

The domain is {A, B, C, D, E} and the range is {$5, $10, $20, $50, $100}.

What is an equation of the line that passes through the points (-5,4) and (5, -8)?​

Answers

Y= -6/5X -2. You just need to use the formula of y2-y1/x2-x1 to find slope. Then put it in slope point form to find g intercept.

if £2000 is placed into a bank account at a compund intrest per year of 3%, how much money will there by after 2 years

Answers

Answer:

£2120

Step-by-step explanation:

First, you need to find 3% of £2000

£2000 ÷ 100 = 20

20 x 3 = £60

Since you gain £60 per year, you gain £120 for two years

£2000 + £120 =

£2120

what is the correct order of terms from largest to smallest: macromolecule element and monomer​

Answers

Answer:A long molecule consisting of many similar or identical monomers linked together. it is attracted to any other element that has an electron that is also alone. Put the following systems in order from smallest to largest: polymer, atom, macromolecule, monomer. Atom, monomer, polymer, macromolecule.

Step-by-step explanation:

what is the compound inequality x<10 and x>2

Answers

Answer:

[tex]2<x<10[/tex]

which of these groups values plugged into the TVM solver of a graphing calculator will return the same value for PV as the expression ($415)((1+0.003)^24-1)/(0.003)(1+0.003)^24

Answers

Answer:N=24; I%=3.6; PV = ; PMT = -415; FV=0; P/Y= 12; C/Y = 12; PMT:END

Step-by-step explanation:

-2 + 3x > -23 | x = ?

Answers

Answer:

Give Me Brainliet

Step-by-step explanation:

x= 9/8 =1.125

Answer:

3*x-2>-23

Step-by-step explanation:

i think thats the answer

simplify (2x+1)^2



what is the answer? ​

Answers

Answer:

Step-by-step explanation:

4x^2+4x+1

The answer is: 4x^2+4x+1

Convert 1 inch into feet. Round your answer to the nearest hundredth.

Answers

Answer:search it

Step-by-step explanation:

asearch it


Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9

Answers

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

Ann's Ride
10
1. Ann went on a bicycle trip. The graph shows the
relationship between time and distance traveled by Ann.
9 8
a)
Write a function d(1) for her distance in miles
traveled in terms (1) of the time in hours.
6
b)
Find d(3)
distance in miles
5
c)
Draw a graph of Ann's speed in miles per hour
in terms of the time in hours.
4 3
d)
Write a function s(t) for her speed in
terms of the (1) time.

Answers

Ann went (1) for his distance

You Work at a carnival for 3.5 hours you earn 29.75 how much do you earn per hour

Answers

Answer:

8.5

Step-by-step explanation:

Divide  

29.75  by  3.5 .

8.5

The figure below shows a large rectangle with a small rectangle cut out of it.

What is the area of the shaded figure?

Answers

Answer:

56 cm²

Step-by-step explanation:

8*9=72

4*4=16

72-16=56

hope this helps!

-4 5/1 - 6 4/6=??? help!

Answers

Answer:

-15 2/3.

Step-by-step explanation: First off, I performed the equation -4 5/1 - 6 4/6, yielding -15.6. I then translated that to a fraction. How to do that, you ask?

Example #1

Convert 0.32 to fraction:

0.32 = 32/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(32,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.32 = (32/4) / (100/4) = 8/25

Example #2

Convert 2.56 to fraction:

2.56 = 2+56/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(56,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

2+56/100 = 2 + (56/4) / (100/4) = 2+14/25  

In your problem the final answer would result in -15 2/3. Hope this answered your question.

Answer:

44

Step-by-step explanation:

-4 5/1 - 6 4/6 turn them into fractions you should get -20/1 - 144/6 then to subtract you have to have a comen denominater and it is 6 so 144/6 is okay but you need to do -20/1 x 6 and you get 120/6 so now we have -120/6 - 144/6 = 44 because a negitive and a negitive make a positive.

Which of the following documents were influenced by John Locke's principles?
A. MAGNA CARTA
B. U.S. Declaration of Independence
C. English Bill of Rights
D. Estates General

Answers

Answer:U.S Declaration of Independence

Step-by-step explanation:

NEED NOW!!! If the two friends in excercise 2 race for 4 miles at their constant rates who will win the race.!!!

Answers

Answer:8

Step-by-step explanation:

Please solve the equation

Answers

Answer: c

Step-by-step explanation:

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