Arecipe for a cake needs 2 1/4 cups of cake. you are making 1/2 of the recipe. how many cups of flour do you need?

1 & 1/8 cup of flour

Step-by-step explanation:

A = half of 2 = (1/2)*2 = 1

B = half of 1/4 = (1/2)*(1/4) = (1*1)/(2*4) = 1/8

C = half of (2 & 1/4)

C = (half of 2) + (half of 1/4)

C = A+B

C = 1 + 1/8

C = 1 & 1/8 cups

An alternative is to first convert the mixed number 2 & 1/4 to an improper fraction using the formula below

a & b/c = (a*c + b)/c

2 & 1/4 = (2*4+1)/4

2 & 1/4 = 9/4

Then multiply this by 1/2

(9/4)*(1/2) = 9/8

And convert back to a mixed number

9/8 = (8+1)/8

9/8 = 8/8 + 1/8

9/8 = 1 + 1/8

9/8 = 1 & 1/8

we get the same answer either way

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58