69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69? Choose all that apply. A. 24 B. 36 C. 180 D. 240

A. 24  

Step-by-step explanation:

If we have two digits to multiply together, the multiplication of the individual digit of those number with each other whereby each digit retain its place is known as partial product.

From the given question, by applying the distributive property method, the partial products are:

24 × 69 = 24 × (60 + 9)  

open brackets

= (24 × 60) + (24 × 9)

By factorization

= 60 (20 + 4) + 9(20 + 4)

expanding the brackets, we get:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36   (These are the partial products)

= 1656

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15