A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?

Answers

Answer 1
Answer: x - 3pt  baskets  (he reaches 3x points)
y - 2pt baskets  (he reaches 2y points)

We know, that  y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points:  96

3x + 2y = 96.   Substitute  to "y"  an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10    |:5
x=2 

So y=x+43=2+43=45 

He has made 2  three points baskets and 45 two points baskets

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I need to know the step by step working to get the answer 18
Circle C is inscribed with 5 lines. Point C is at the center of the circle. 3 lines come out of point C and make points D, A, and B on the edge of the circle. Another line comes out of point C and goes past the edge to point E. Another line connects points D and A. Which geometric figures are drawn on the diagram? Check all that apply. Line segment C A Ray A C ∠ABC Circle C Ray B E ∠BCE Line segment A E
Susan averages 8 birdies in an 18 hole round of golf. how many birdies should she expect after playing 45?
The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?A)Price of a shirt is $9, and price of a cap is $2. B) Price of a shirt is $10, and price of a cap is $1. C) Price of a shirt is $8, and price of a cap is $3. D) Price of a shirt is $7, and price of a cap is $4.
The function h(x)=x^2+3 and g(x)=x^2-6. if g(x)=h(x)+k, what is the value of k?

What is the measure of AC?

Answers

Answer:

A or B

Step-by-step explanation:

What is the value of x in the equation 2x + 3y = 36 when y = 6

Answers

sub in the y value which is 6:
2x+3*6=36
next you multiply 3*6 to start simplifying for x:
2x+18=36
after that you need to isolate the variable x by using inverse operations(subtract 18 from both sides:
2x+18-18=36-18
simplify that:
2x=18
do inverse operations again this time you need to use division:
2x/2=18/2
simplify for your answer:
x=9
:D
2x + 3(6) = 36 \n 2x=36-18=18 \n x= (18)/(2) =9

Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?The solution to the system is (7, 9).
The system of equations does not have a solution.
The work must be incorrect because it is not possible to get this equation.
The system of equations has infinitely many solutions.

Answers

The system of equations does not have a solution.

For example, imagine these two equations y = x + 7 and y = x + 9

Now subsitute y in the second equation with the value from the first equation:

x + 7 = x + 9

x - x + 7 = 9

0 + 7 = 9

7 = 9.

That happens because the equations represent parallel lines, which do not have a common pair of points.

The thing which Vineet can conclude is:

  • B. The system of equations does not have a solution.

That happens because the equations represent parallel lines, which do not have a common pair of points.

Equation

This refers to the statement in mathematics which shows the equality of two expressions using the = sign

With this in mind, we can see that if we expand the system of equations, it does not have a solution

Therefore, the correct answer is option B

Read more about system of equations here:
brainly.com/question/13729904

Four books, one each on physics, chemistry, mathematics, and biology are about to be stacked on a shelf. If the books are stacked randomly, what is the probability the mathematics book is on top?

Answers

There are 4 books.
The math book can either be top, second from top, third from top, or on the bottom.
The probability of being in any single given position is 1/4 = 25% .
Since each book can be put on the top, and there are 4 books, the chances of a math book going on the top is 1/4, while the other 3 chances are the other books. So your answer is 1/4 or 0.25

How many metres in 187cm

Answers

1.87 meters are 187 centimeters. Hope it helped you if it helped please mark as the brainliest answer
It is 1.87 metres :)

During a recent winter, the ratio of deer to foxes was 7 to 3 in a town. If there was 210 foxes in the town, what was the number of deer in the town?

Answers

(7)/(3) = (x)/(210)
Cross multiply and get 1470/3
Your final answer is 490 deer.