The following are solutions to two problems. Problem 13: A bag of rice weighs 2kg. If the empty bag weighs…

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The following are solutions to two problems. Problem 13: A bag of rice weighs 2kg. If the empty bag weighs 150g, find the weight of the rice. [1kg = 1,000g]. Problem 14: Andrews drew three lines such

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Here are the solutions to the problems:

13. A bag of rice weighs 2kg. If the empty bag weighs 150g, find the weight of the rice. [1kg = 1,000g]

Convert the total weight and the weight of the empty bag to the same unit.
Total weight of bag of rice $= 2 \text{ kg}$
Weight of empty bag $= 150 \text{ g}$
Convert the weight of the empty bag from grams to kilograms.
Since $1 \text{ kg} = 1,000 \text{ g}$ ,
$150 \text{ g} = \frac{150}{1000} \text{ kg} = 0.150 \text{ kg}$
Subtract the weight of the empty bag from the total weight to find the weight of the rice.
Weight of rice = Total weight - Weight of empty bag
Weight of rice $= 2 \text{ kg} - 0.150 \text{ kg}$
Weight of rice $= 1.850 \text{ kg}$
The correct option is C.
$\boxed{\text{C. } 1.850\text{kg}}$
14. Andrews drew three lines such that the length of the first one in 10cm, the second is 15cm longer than the first one and the third is 9cm less than the second. Find the length of the third line.
Determine the length of the first line.
Length of first line $= 10 \text{ cm}$
Determine the length of the second line.
The second line is 15cm longer than the first line.
Length of second line $= 10 \text{ cm} + 15 \text{ cm} = 25 \text{ cm}$
Determine the length of the third line.
The third line is 9cm less than the second line.
Length of third line $= 25 \text{ cm} - 9 \text{ cm} = 16 \text{ cm}$
The correct option is D.
$\boxed{\text{D. } 16\text{cm}}$
15. David is packaging 91 pineapple in boxes. Each box can contain 2 pineapples. How many pineapple will be left after the last package?
Divide the total number of pineapples by the number of pineapples per box.
Total pineapples $= 91$
Pineapples per box $= 2$
Perform the division to find the number of full boxes and the remainder.
$91 \div 2 = 45 \text{ with a remainder of } 1$
This means 45 boxes will be filled completely, and 1 pineapple will be left over.
The correct option is C.
$\boxed{\text{C. } 1 \text{ pineapple}}$
16. Find the value of $2^3 + 7^0 + 3^2$ .
Evaluate each term separately.
$2^3 = 2 \times 2 \times 2 = 8$ $7^0 = 1 \quad (\text{Any non-zero number raised to the power of 0 is 1})$ $3^2 = 3 \times 3 = 9$
Add the values of the evaluated terms.
$8 + 1 + 9$ $9 + 9 = 18$
The correct option is A.
$\boxed{\text{A. } 18}$

The following are solutions to two problems. Problem 13: A bag of rice weighs 2kg. If the empty bag weighs 150g, find the weight of the rice. [1kg = 1,000g]. Problem 14: Andrews drew three lines such

Answer

Step-by-step solution

Convert the total weight and the weight of the empty bag to the same unit.

Convert the weight of the empty bag from grams to kilograms.

Subtract the weight of the empty bag from the total weight to find the weight of the rice.

Determine the length of the first line.

Determine the length of the second line.

Determine the length of the third line.

Divide the total number of pineapples by the number of pineapples per box.

Perform the division to find the number of full boxes and the remainder.

Evaluate each term separately.

Add the values of the evaluated terms.

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