Mai’s backpack weighs 9 pounds. Han’s backpack weighs 8.3 pounds. Priya’s backpack weighs 7.75 pounds, and Kiran’s backpack weighs 6.125 pounds. Select all the true statements.

Group of answer choices

Han’s backpack is 2.175 pounds heavier than Kiran’s.

Mai’s backpack is 2.25 pounds heavier than Priya’s.

Han’s backpack is 16.05 pounds heavier than Priya’s.

Kiran’s backpack and Han’s backpack together weigh 14.3125 pounds.

The backpacks weigh 31.175 pounds together.

Answer: Han’s backpack is 16.05 pounds heavier than Priya’s.

Step-by-step expl

The true statements are:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

The backpacks weigh 31.175 pounds together.

Here, we have,

Let's evaluate each statement:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

To check if this statement is true, we need to find the difference between the weights of Han's and Kiran's backpacks:

Han's backpack weight - Kiran's backpack weight = 8.3 - 6.125 = 2.175

The difference is indeed 2.175 pounds, so this statement is true.

Mai’s backpack is 2.25 pounds heavier than Priya’s.

Similarly, we find the difference between the weights of Mai's and Priya's backpacks:

Mai's backpack weight - Priya's backpack weight = 9 - 7.75 = 1.25

The difference is 1.25 pounds, not 2.25 pounds. Therefore, this statement is false.

Han’s backpack is 16.05 pounds heavier than Priya’s.

Again, we calculate the difference between Han's and Priya's backpack weights:

Han's backpack weight - Priya's backpack weight = 8.3 - 7.75 = 0.55

The difference is 0.55 pounds, not 16.05 pounds.

Thus, this statement is false.

Kiran’s backpack and Han’s backpack together weigh 14.3125 pounds.

To check this statement, we add the weights of Kiran's and Han's backpacks:

Kiran's backpack weight + Han's backpack weight = 6.125 + 8.3 = 14.425

The sum is 14.425 pounds, not 14.3125 pounds.

Hence, this statement is false.

The backpacks weigh 31.175 pounds together.

To verify this statement, we add the weights of all four backpacks:

Mai's backpack weight + Han's backpack weight + Priya's backpack weight + Kiran's backpack weight = 9 + 8.3 + 7.75 + 6.125 = 31.175

The sum is indeed 31.175 pounds, so this statement is true.

In conclusion, the true statements are:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

The backpacks weigh 31.175 pounds together.

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x2 + y2 + z2 -xy – yz – zx = 1212 [(x-y)2 + (y-z)2 + (z-x)2]

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