Larji bought a dozen ears of corn. She prefers yellow corn, which costs 40 cents an ear, and her siblings prefer the peaches and cream variety, which costs 50 cents an ear. She buys a mixture of each type and pays $5. 70. Which system of equations represents the number of ears of corn of each type that Larji purchased? x y = 12. 0. 40 x 0. 50 y = 5. 70. X y = 12. X 0. 50 y = 5. 70. X y = 5. 70. 0. 40 x 0. 50 y = 12. X y = 5. 70. 0. 40 x y = 12.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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