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
Kisachek [45]
3 years ago
11

In basketball there are 1,2, and 3 point shots. In the last game sarah scored a total of 25 points by making 13 total baskets. S

he made twice as many 2 point shots as she did 3 point shots. How many of each type of shot did she make?
Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

3 , 6 , 4

Step-by-step explanation:

Given:

There are three groups of shots in basketball.

First group carry = 1 point

Second group carry = 2 points

Third group carry = 3 points

Sarah scored a total of 25 points by making 13 total baskets.

She made twice as many 2 point shots as she did 3 point shots.

Question asked:

How many of each type of shot did she make ?

Solution:

Let number of baskets, she made which carry 3 points = x

Then, number of baskets, she made which carry 2 points = 2x

Total number of baskets, she made = 13

Then, number of baskets, she made which carry 1 points = 13-(x+2x)=13-3x

Now,

Sarah scored a total number of points = 25

3\times x+2\times2x+1(13-3x)=25\\3x+4x+13-3x=25\\4x+13=25

Subtracting both sides by 13

4x=25-13\\4x=12

Dividing both sides by 4

x=3

By substituting the value:-

Number of baskets, she made which carry 3 points = x = 3

Number of baskets, she made which carry 2 points = 2x = 2\times3=6

Number of baskets, she made which carry 1 points = 13-3x=13-3\times3=13-9=4

Thus, she made 3 baskets of 3 points, 6 baskets of 2 points and 4 baskets of 1 point.

You might be interested in
Show workings please
Alenkinab [10]

Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

7x + 33 = 180°   Combine like terms

7x = 148°  Subtract 33 from both sides

x = 21°   Divide both sides by 7

8 0
3 years ago
One positive number is 3 more than twice another. If their product is 629, find the numbers.
Soloha48 [4]

Answer:

17,37

Step-by-step explanation:

one number = x

The positive number = 2x + 3

x * (2x+3) = 629

x*2x + x *3 = 629

2x² + 3x - 629 = 0

2x² - 34x + 37x - 17*37 =0

2x*(x -17) + 37(x - 17) = 0

(x - 17)(2x + 37) = 0

x - 17 = 0 ;     Ignore  2x + 37 as s is a positive number

x = 17

Positive number = 2*17 +3 = 34+3 = 37

5 0
3 years ago
X=7; 4x + 8/2=??? Explain
AlladinOne [14]

Answer:

Step-by-step explanation:

4(7)+8/2

28+4

=32

7 0
3 years ago
A motorboat travels 244 kilometers in 4 hours going upstream and 749 kilometers in 7 hours going downstream. What is the rate of
Kryger [21]

Answer:

Speed of Motorboat = 84 kmph

Speed of Current = 23 kmph

Step-by-step explanation:

Distance Equation is:

D = RT

Where

D is distance

R is rate

T is time

Downstream rate is rate of boat PLUS current

Upstream rate is rate of boat MINUS current

Let rate of boat be "x" and rate of current be "c".

From first statement, we can write:

244 = (x - c)(4)

From second statement, we can write:

749 = (x + c)(7)

The first equation becomes:

244 = 4x - 4c

The second equation becomes:

749 = 7x + 7c

Multiplying first equation by 7 , we have:

7 * [244 = 4x - 4c] = 1708 = 28x - 28c

Multiplying 2nd equation by 4, we have:

4 * [749 = 7x + 7c] = 2996 = 28x + 28c

Now we add up these equations (in bold):

1708 = 28x - 28c

2996 = 28x + 28c

----------------------------

4704 = 56x

x = 4704/56

x = 84

Now using this value and plugging in original equation, we can find "c":

244 = 4x - 4c

244 = 4(84) - 4c

244 = 336 - 4c

4c = 92

c = 92/4

c = 23

<u>Speed of Motorboat = 84 kmph</u>

<u>Speed of Current = 23 kmph</u>

6 0
3 years ago
Point T is on line segment S U ‾ SU . Given T U = x − 1 , TU=x−1, S U = 3 x − 7 , SU=3x−7, and S T = x + 7 , ST=x+7, determine t
dangina [55]

Answer:

TU = 12

Step-by-step explanation:

Given

TU = x − 1

SU = 3x − 7

ST = x + 7

TU = ?

Then we can say that

SU = ST + TU

⇒  3x − 7 = (x + 7) + (x − 1)

⇒  3x − 7 = 2x + 6

⇒  x = 13

Finally, we get

TU = x − 1

⇒  TU = 13 - 1

⇒  TU = 12

Therefore,

ST = x + 7 = 13 + 7 = 20

SU = 3x − 7 = 3*(13) - 7 = 32

6 0
3 years ago
Other questions:
  • The given line passes through the points (0, −3) and (2, 3).
    8·2 answers
  • If x Is a real number such that x3 = 64, the x2 + x equals what?
    15·1 answer
  • Can someone please help me solve this problem
    6·1 answer
  • The width of a rectangle is 7/15 of its length and the width of the rectangle is 56 cm find the length of the rectangle
    10·1 answer
  • II<br>3<br>Find 6 X 915. Show your work.​
    9·1 answer
  • The owner of a coffee shop, an amateur statistician, advertises that the price of coffee on any given day will be randomly picke
    13·1 answer
  • What is the wright answer
    10·1 answer
  • PLEASE HELP!!!!<br> What is the area of this trapezoid enter your answer in the box ?
    11·2 answers
  • Which step is the most efficient way to find the solution of p + 5 &gt; -13
    7·2 answers
  • NEED ANSWER ASAP pls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!