In her first basketball game, Taneshia makes 8 out of 14 free throws. in her second basketball game taneshia makes 6 out of 10 free throws. In which game did she have a better free throw percentage?

I believe the answer is 45

Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.

To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).

Step 1: Convert 3 1/4 to an improper fraction.

3 1/4 = (4 × 3 + 1) / 4 = 13/4

Step 2: Divide the total number of boxes by the number of students.

Fraction of a box per student = (Total boxes) / (Number of students)

Fraction of a box per student = 13/4 ÷ 12

Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).

Fraction of a box per student = 13/4 × 1/12

Step 4: Simplify the fraction if possible.

Fraction of a box per student = 13/4 × 1/12 = 13/48

So, each student receives 13/48 of a box of supplies.

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Answer:

13 and 6

Step-by-step explanation:

Let x = larger number

Let y = smaller number

The larger of two numbers is:  x =

one more than twice the smaller: 2y + 1

x = 2y + 1    {equation 1}

The sum of the numbers is:  x + y =

20 less than three times the larger: 3x - 20

x + y = 3x - 20

This can be simplified.  Subtract 3x from both sides.

x - 3x + y = -20

-2x + y = -20     {equation 2}

Since we already know from equation 1 that x=2y+1, substitute that into equation 2

and solve for y:

-2(2y+1) + y = -20

-4y - 2 + y = -20

-3y - 2 = -20

-3y = -18

y = -18/(-3)

y = 6      

x = 2y+1 = 2(6)+1 = 12 + 1 = 13

Your numbers are 13 and 6