On a standardized test the final scores are calculated by averaging the math, science, and literature scores. Kelly’s math score is 84%, and her literature score is 1.25 times her science score. Find her science and literature scores if her final score is 82%.

Kelly's science score is 72%.

Kelly's literature score is 90%.

Step-by-step explanation:

It is given that,

Her literature score is 1.25 times her science score.

Let us assume that, her science score is x.

On a standardized test,

The final scores are calculated by averaging the math, science, and literature scores.

To find the science score :

⇒ 82 = (84 + x + 1.25x) / 3

⇒ 82 × 3 = (84 + 2.25x)

⇒ 246 = 84 + 2.25x

⇒ 246 - 84 = 2.25x

⇒ 162 = 2.25x

⇒ x = 162 / 2.25

⇒ x = 72

∴ Kelly's science score is 72%.

To find the literature score :

Kelly’s literature score is 1.25x

Substitute x = 72,

⇒ 1.25 × 72

⇒ 90

∴ Kelly's literature score is 90%.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

i think it is 70

step-by-step explanation: