Eiko is wearing a magic ring that increases the power of her healing spell by 30%. Without the ring, her healing spell restores H health points.Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?Choose 2 answers:0.7H100130H(103+1)HH−0.30H30+H
Q. Eiko is wearing a magic ring that increases the power of her healing spell by 30%. Without the ring, her healing spell restores H health points.Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?Choose 2 answers:0.7H100130H(103+1)HH−0.30H30+H
Calculate 30% of H: The magic ring increases the power of Eiko's healing spell by 30%. To find the total healing power with the ring, we need to add 30% of the original healing power, H, to itself.
Add 30% increase to H: To calculate 30% of H, we multiply H by 0.30 (which is the decimal form of 30%). So, 30% of H is 0.30H.
Simplify H+0.30H: Now, we add this 30% increase to the original healing power, H. The total healing power with the ring is H+0.30H.
Express 1.30H as fraction: We can simplify H+0.30H by factoring out H. This gives us H(1+0.30), which simplifies to H(1.30) or 1.30H.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:(130/100)H2 would represent a 30% decrease, not an increase, so this is incorrect.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:(130/100)H2 would represent a 30% decrease, not an increase, so this is incorrect.(130/100)H is correct because it represents a 30% increase on top of the original (130/100)H6.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:(130/100)H2 would represent a 30% decrease, not an increase, so this is incorrect.(130/100)H is correct because it represents a 30% increase on top of the original (130/100)H6. (130/100)H7 is also correct because it represents adding 30% to the original (130/100)H6.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:(130/100)H2 would represent a 30% decrease, not an increase, so this is incorrect.(130/100)H is correct because it represents a 30% increase on top of the original (130/100)H6.(130/100)H7 is also correct because it represents adding 30% to the original (130/100)H6.1.300 would represent a 30% decrease, not an increase, so this is incorrect.
Evaluate provided options: The expression 1.30H can also be written as (130/100)H because 1.30 is the same as 130/100.Another way to express a 30% increase is to add the fraction (3/10) to 1, since 30% is the same as 3/10. This gives us (3/10+1)H, which simplifies to (130/100)H0 or 1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:(130/100)H2 would represent a 30% decrease, not an increase, so this is incorrect.(130/100)H is correct because it represents a 30% increase on top of the original (130/100)H6. (130/100)H7 is also correct because it represents adding 30% to the original (130/100)H6. 1.300 would represent a 30% decrease, not an increase, so this is incorrect. 1.302 simply adds 1.303 to (130/100)H6, which does not represent a 30% increase, so this is incorrect.
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