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romanna [79]
3 years ago
5

Alexander is a high school basketball player. In a particular game, he made some two point shots and some three point shots. Ale

xander scores a total of 14 points and made twice as many two points shots Alexander made and the number of three points shots he made
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

2 three points shots and 4 two points shots

Step-by-step explanation:

Let x be the number of three points shots.

Alexander  made twice as many two points shots as three points shots, so the number of two points shots is 2x.

Amount earned in three points shots =3\cdot x

Amount earned in two points shots =2\cdot (2x)=4x

Total score =3x+4x=7x

Alexander scores a total of 14 points, then

7x=14\\ \\x=2\\ \\2x=2\cdot 2=4

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A first number plus twice a second number is 14. Twice the first number plus the second totals 10. Find the numbers.
Nookie1986 [14]

Answer:

first number(x) = 2 second number(y)= 6

Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

3x = 6

x = 2

Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

6 0
3 years ago
Read 2 more answers
what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively
AnnZ [28]

Answer:

1002

Step-by-step explanation:

First find difference between the divisors and remainders.

16-10=6\\18-12=6\\21-15=6

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of (16,18,21)-6

16=2^4\\18=2(3^2)\\21=3(7)

LCM of (16,18,21)=2^4(3^2)(7)=1008

Required Number =1008-6=1002

7 0
3 years ago
y = –6x 2 –12x – 2y = –4 how many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution
lara [203]
Y = -6x + 2 . . . . . . . . (1)
-12x - 2y = -4 . . . . . . (2)
Putting (1) into (2), we have
-12x - 2(-6x + 2) = -4
-12x + 12x - 4 = -4
-4 = -4

Therefore, the system has infinite number of solutions.
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3 years ago
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Law Incorporation [45]

Answer:

2

Step-by-step explanation:

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3 years ago
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UNO [17]

Answer:

9 1/3

Step-by-step explanation:

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3 years ago
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