The glee club has 120 cupcakes to sell. they have decided to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. how many arrangements of cupcakes can they create? explain.

4

Explanation:

1) Find the divisors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 20, 30, 40, 60, and 120.

2) Choose combinations of even numbers for the rows and odd number for the columns:

row column

8 15 ↔ 8 × 15 = 120

24 5 ↔ 24 × 5 = 120

40 3 ↔ 40 × 3 = 120

120 1 ↔ 120 × 1 = 120

Those are the only arrangements with an even number of rows and odd number of columns: 4 in total.

in 4 days he will run   12/14

step-by-step explanation:

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.