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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:

0.7H

(130)/(100)H

((3)/(10)+1)H

H-0.30 H

30+H

Eiko is wearing a magic ring that increases the power of her healing spell by 30% 30 \% . Without the ring, her healing spell restores H H health points.\newlineWhich of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?\newlineChoose 22 answers:\newline0.7H 0.7 H \newline130100H \frac{130}{100} H \newline(310+1)H \left(\frac{3}{10}+1\right) H \newlineH0.30H H-0.30 H \newline30+H 30+H

Full solution

Q. Eiko is wearing a magic ring that increases the power of her healing spell by 30% 30 \% . Without the ring, her healing spell restores H H health points.\newlineWhich of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?\newlineChoose 22 answers:\newline0.7H 0.7 H \newline130100H \frac{130}{100} H \newline(310+1)H \left(\frac{3}{10}+1\right) H \newlineH0.30H H-0.30 H \newline30+H 30+H
  1. Calculate 30%30\% of HH: The magic ring increases the power of Eiko's healing spell by 30%30\%. To find the total healing power with the ring, we need to add 30%30\% of the original healing power, HH, to itself.
  2. Add 3030% increase to H: To calculate 3030% of H, we multiply H by 0.300.30 (which is the decimal form of 3030%). So, 3030% of H is 0.30H0.30H.
  3. Simplify H+0.30HH + 0.30H: Now, we add this 30%30\% increase to the original healing power, HH. The total healing power with the ring is H+0.30HH + 0.30H.
  4. Express 1.30H1.30H as fraction: We can simplify H+0.30HH + 0.30H by factoring out HH. This gives us H(1+0.30)H(1 + 0.30), which simplifies to H(1.30)H(1.30) or 1.30H1.30H.
  5. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.
  6. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.
  7. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:\newline(130/100)H(130/100)H22 would represent a 30%30\% decrease, not an increase, so this is incorrect.
  8. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:\newline(130/100)H(130/100)H22 would represent a 30%30\% decrease, not an increase, so this is incorrect.(130/100)H(130/100)H is correct because it represents a 30%30\% increase on top of the original (130/100)H(130/100)H66.
  9. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:\newline(130/100)H(130/100)H22 would represent a 30%30\% decrease, not an increase, so this is incorrect.(130/100)H(130/100)H is correct because it represents a 30%30\% increase on top of the original (130/100)H(130/100)H66. (130/100)H(130/100)H77 is also correct because it represents adding 30%30\% to the original (130/100)H(130/100)H66.
  10. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:\newline(130/100)H(130/100)H22 would represent a 30%30\% decrease, not an increase, so this is incorrect.(130/100)H(130/100)H is correct because it represents a 30%30\% increase on top of the original (130/100)H(130/100)H66.(130/100)H(130/100)H77 is also correct because it represents adding 30%30\% to the original (130/100)H(130/100)H66.1.301.3000 would represent a 30%30\% decrease, not an increase, so this is incorrect.
  11. Evaluate provided options: The expression 1.30H1.30H can also be written as (130/100)H(130/100)H because 1.301.30 is the same as 130/100130/100.Another way to express a 30%30\% increase is to add the fraction (3/10)(3/10) to 11, since 30%30\% is the same as 3/103/10. This gives us (3/10+1)H(3/10 + 1)H, which simplifies to (130/100)H(130/100)H00 or 1.30H1.30H.Now let's evaluate the provided options to see which ones correctly represent the healing power with the ring:\newline(130/100)H(130/100)H22 would represent a 30%30\% decrease, not an increase, so this is incorrect.(130/100)H(130/100)H is correct because it represents a 30%30\% increase on top of the original (130/100)H(130/100)H66. (130/100)H(130/100)H77 is also correct because it represents adding 30%30\% to the original (130/100)H(130/100)H66. 1.301.3000 would represent a 30%30\% decrease, not an increase, so this is incorrect. 1.301.3022 simply adds 1.301.3033 to (130/100)H(130/100)H66, which does not represent a 30%30\% increase, so this is incorrect.

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