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lyudmila [28]
3 years ago
13

A basketball player scored 24 times during one game. She scored a total of 41 points, two for each two-point shots and one for e

ach free-throw how many to point shots did she make? How many free throws?
Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

<em>Number of points shoot, x=17</em>

<em>Number of </em><em>free</em><em> </em><em>shoot</em><em>,</em><em> </em><em>y</em><em>=</em><em>7</em>

Step-by-step explanation:

Let us consider,

point shoot as x

free shoot as y.

Question say " A basketball player scored 24 times during one game "

Therefore, Number of point shoot + Number of free shoot = 24

Numerically we get,

x+y=24

Now, Free shoot gives one point and point shoot gives two points.

She scored total of 41 points.

2x+y=41

we get two equations

x+y=24

2x+y=41

By solving above linear equations...

we can write, y=24-x

replacing y value in 2x+y=41

2x+24-x=41

<em>x=17</em>

To find value of y, replace x vaule in any equation

say, x+y=24

17+y=24

<em>y=7</em>

Thus, x=17 and y=7

Number of points shoot, x=17

Number of free shoot, y=7

julsineya [31]3 years ago
6 0

Answer:

x=17

Step-by-step explanation:

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Which equation can be used to find the value of x?
Dafna11 [192]

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

6 0
3 years ago
One type of firework splits 5 times after it is fired into the air. The number of new bursts after each split can be modeled by
kherson [118]
Probably 5 because it only states 1 firework
5 0
3 years ago
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4^0 + 5^0 + 6^0 = (4+5+6)^0<br> a)True<br> b)False
Yuri [45]

Step-by-step explanation:

false

4^0 + 5^0 + 6^0= 1+1+1=3

(4+5+6)^0= 3⁰=1

1≠3

7 0
2 years ago
Read 2 more answers
Side AB of square ABCD is parallel to the Y axis and the perimeter of ABCD is 36. If the coordinates of point B is (5,17) . What
Zarrin [17]
<h3>Answer: (C) (14,8)</h3>

============================================

Explanation:

The perimeter of the square is 36, so each side length is 36/4 = 9 units.

Point B is located at (5,17). We move down 9 units to get to (5,8), which is the location of point A. Then we move 9 units to the right to arrive at (14,8) which is point D's location.

Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.

8 0
2 years ago
An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that,
77julia77 [94]

Answer:

0.9595724

Step-by-step explanation:

Time taken to wash a car (μ) = 5 minutes

Hence, Number of cars washed per hour = 60/5 = 12 cars

If 5 cars arrive, 30 minutes to closing ; it takes 25 minutes to finish up ;

If 1 more car arrives, then it takes exactly 30 minutes

Hence, there will be no one in line at closing ;

IF 0 or 1 car arrives, if more than 1 car arrives, then there will be people in line at closing.

Hence, probability of waiting in line at closing :

1 - [p(0) + p(1)]

Using poisson :

P(x) = [(e^-μ) * (μ^x)] / x!

If x = 0

P(0) = [(e^-5) * (5^0)] / 0!

P(0) = (0.0067379 * 1) / 1

P(0) = 0.0067379

X = 1

P(1) = [(e^-5) * (5^1)] / 1!

P(0) = (0.0067379 * 5) / 1

P(0) = 0.0336897

Hence,

1 - (0.0067379 + 0.0336897)

1 - 0.0404276

= 0.9595724

Hence, the probability that anyone would be in the car washing line after closing is 0.9595724

4 0
2 years ago
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