General
General
Easy
Question
Which of the following structures represent propanoic acid?
Hint:
The functional group -COOH is known as carboxylic acid.
The correct answer is: ![](data:image/png;base64,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)
- There are three carbons therefore the root word "prop" is used.
- 'oic acid' suffix is used for carboxylic acids.
Related Questions to study
Maths-
Which of the numbers
and
is greater
Which of the numbers
and
is greater
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![6 over 125](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![6 over 125](data:image/png;base64,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)
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Maths-General
Maths-
If
Find the values of a and b
If
Find the values of a and b
Maths-General
Maths-
Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,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)
Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Maths-General
Maths-
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
Maths-General
Maths-
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Maths-General
Maths-
A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
Maths-General
Maths-
The Bionic Woman gives Batman a 12 second start in a 2 kilometre race. If the Bionic Woman runs at 5 km/min, and Batman runs at 3 km/min, who will win the race and by how many seconds
The Bionic Woman gives Batman a 12 second start in a 2 kilometre race. If the Bionic Woman runs at 5 km/min, and Batman runs at 3 km/min, who will win the race and by how many seconds
Maths-General
Maths-
At a school camp there is enough food for 150 students for 5 days. a) How long would the food last if there were only 100 students? b) If the food ran out after only 4 days, how many students attended the camp?
At a school camp there is enough food for 150 students for 5 days. a) How long would the food last if there were only 100 students? b) If the food ran out after only 4 days, how many students attended the camp?
Maths-General