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
ivann1987 [24]
3 years ago
8

Mr. Sarpy went to shoot some hoops on the basketball court. For every shot that he made within the three-point line he earned 2

points and every shot he made behind the three-point line he earned 3 points. Mr. Sarpy shot a total of 50 shots and earned a total of 115 points. Write a system of equations that best models x, the number of 2 point shots, and y, the number of 3 point shots.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

x + y = 50 (1) and 2x + 3y = 115 (2); x = 35, y = 15

Step-by-step explanation:

Since x represents the number of 2 point shots and y represents the number of 3 point shots. If the total number of shots is 50, then x + y = 50 (1)

Also, the total 2 point shots is number of 2 point shots × points per shot = 2x and the total 3 point shots is number of 3 point shots × points per shot =  3y. Since the total number of points is 115, then

2x + 3y = 115 (2)

So, the system of equations are

x + y = 50 (1) and 2x + 3y = 115 (2)

We can solve for x and y by substituting x = 50 - y into (2)

So, 2(50 - y) + 3y = 115

100 - 2y + 3y = 115

100 + y = 115

y = 115 - 100

y = 15

So, x = 50 - y

= 50 - 15

= 35

You might be interested in
If Given:
sasho [114]
C i think that would be the answer

6 0
2 years ago
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
Basile [38]

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

8 0
2 years ago
Read 2 more answers
Graph the following equation and find
Maksim231197 [3]
What equation ??????
5 0
2 years ago
The measure of angle 4 is 45. If angle 4 is congruent to angle 1, what is the measure of angle 5?
mr_godi [17]
The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.
8 0
3 years ago
Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5
Ludmilka [50]
We know that
Two angles are said to be co-terminal <span>if they have the same initial side and </span>
<span>the same terminal side. 
</span>
(52π/5)-----> 10.4π<span>
so
</span>(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

7 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows the capacity of two football stadiums.if Ben hill griffin stadium has the capacity of 88548 and it is 75% filled
    11·1 answer
  • Angle 1 and 2 are same side interior angles formed by two parallel lines and a transversal. If measure of angle 1 is 115, what i
    10·1 answer
  • 2 times what equals 36
    9·1 answer
  • The fundraising group collected the quarters from the school's wishing well. The group arranged the quarters into 8 piles and of
    8·1 answer
  • In DEF, C is the centroid if DM=45 , find DC and CM<br><br><br><br> DC= ? Units
    8·1 answer
  • Farah found 7 rolls of teal ribbon and blue ribbon. Each roll of teal ribbon was 1 meter long and each roll of blue ribbon was 7
    14·1 answer
  • Is slope undefined when both numerator and denominator is negative?
    13·1 answer
  • Andie has a goal to complete 70% of the jumps on a skateboard course. If she has completed 30 jumps out of 50
    8·1 answer
  • Yesterday, the price of a loaf of bread at five supermarkets was $1.54, $1.69, $1.79, $1.57, $1.71, but today each supermarket r
    8·1 answer
  • PLZZZZ HELP!! D:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!