Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In basketball, the number of points you score is given by
3x+2y+1z where
x is threepointers,
y is two-pointers, and
z is free throws (one-pointers).
What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws?
points

In basketball, the number of points you score is given by $3 x+2 y+1 z$ where $x$ is threepointers, $y$ is two-pointers, and $z$ is free throws (one-pointers). $\newline$ What is the total number of points scored by a player who makes $3$ three-pointers, $5$ two-pointers, and $6$ free throws? $\newline$ points

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q. In basketball, the number of points you score is given by

3 x+2 y+1 z

where

x

is threepointers,

y

is two-pointers, and

z

is free throws (one-pointers).

\newline

What is the total number of points scored by a player who makes

3

three-pointers,

5

two-pointers, and

6

free throws?

\newline

points

Substitute Values: To find the total number of points scored, we need to substitute the values of $x$ , $y$ , and $z$ into the given formula $3x + 2y + 1z$ .
Calculate Three-Pointers: Substitute $x$ with $3$ (three-pointers), $y$ with $5$ (two-pointers), and $z$ with $6$ (free throws) into the formula. $\newline$ Total points = $3(3) + 2(5) + 1(6)$
Calculate Two-Pointers: Calculate the points contributed by three-pointers: $3 \times 3 = 9$ points.
Calculate Free Throws: Calculate the points contributed by two-pointers: $2 \times 5 = 10$ points.
Add Total Points: Calculate the points contributed by free throws: $1 \times 6 = 6$ points.
Perform Addition: Add the points from three-pointers, two-pointers, and free throws to get the total points. $\newline$ Total points = $9$ (from three-pointers) + $10$ (from two-pointers) + $6$ (from free throws)
Perform Addition: Add the points from three-pointers, two-pointers, and free throws to get the total points. $\newline$ Total points = $9$ (from three-pointers) + $10$ (from two-pointers) + $6$ (from free throws)Perform the addition: $9 + 10 + 6 = 25$ points.

More problems from GCF and LCM: word problems

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 2 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 2 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 2 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 25 days ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 1 month ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago