Lynne bought a bag of grapefruit, 1 5_ 8 pounds of apples, and 2 __3 16 pounds of bananas. The total weight of her purchases was 7 1_ 2 pounds. How much did the bag of grapefruit weigh?'

3 11/16 pounds

Step-by-step explanation:

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'

The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas

Let the weight of the grape fruit = x

7 1/2 = x + 1 5/8 + 2 3/16

x = 7 1/2 - (1 5/8 + 2 3/16)

Lowest Common Denominator = 16

x= 7 1/2 - 3 + ( 10+ 3/16)

x = 7 1/2 - 3 + (13/16)

x = 7 1/2 - 3 13/16

Lowest Common Denominator = 16

x= 4 (8 - 13/16)

x = 4 (-5/16)

x = 3 11/16 pounds

Therefore, the bag of grapefruits weighed 3 11/16 pounds

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step-by-step explanation:

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2