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Preguntas

Nepal
\( \frac { 1 } { 1 + x ^ { a } + x ^ { - b } } + \frac { 1 } { 1 + x ^ { b } + x ^ { - c } } + \frac { 1 } { 1 + x ^ { c } + x ^ { - a } } = 1 \)
Álgebra Jan 21, 2025
2. Let's say and write the correct answers as quickly as possible. a) Convert these fractions into percents. a) \( \frac{1}{2}= \) b) \( \frac{1}{4}= \) \( \qquad \) c) \( \frac{1}{5}= \) d) \( \frac{1}{10}= \) b) Convert these decimals into percents. \( \qquad \) \( \qquad \) a) \( 0.05= \) \( \qquad \) b) \( 0.27= \) \( \qquad \) c) \( 0.45= \) \( \qquad \) d) \( 0.99= \) \( \qquad \) c) Convert these percents into fractions. a) \( 7 \%= \) \( \qquad \) b) \( 36 \%= \) \( \qquad \) c) \( 76 \%= \) \( \qquad \) d) \( 89 \%= \) \( \qquad \) d) Convert these percents into decimals. a) \( 4 \%= \) \( \qquad \) b) \( 25 \%= \) \( \qquad \) c) \( 61 \%= \) \( \qquad \) d) \( 88 \%= \) \( \qquad \) Creative Section - A 3. Convert the following fractions and decimals into percents. a) \( \frac{3}{4} \) b) \( \frac{4}{5} \) C) \( \frac{7}{10} \) d) \( \frac{9}{20} \) e) \( \frac{12}{25} \) f) \( \frac{43}{50} \) g) 0.06 h) 0.33 i) 0.45 j) 0.62 k) 0.75 l) 0.93 4. Convert the following percents into fractions of their lowest terms. a) \( 20 \% \) b) \( 25 \% \) c) \( 45 \% \) d) \( 64 \% \) e) \( 75 \% \) f) \( 80 \% \) (5.) Express the parts of whole as the percentage of the whole. a) 5 as a percent of 10 b) 6 as a percent of 15 c) Rs 40 as a percent of Rs 250 (d) 60 marks as a percent of 75 marks e) 9 months as a percentage of a year f) 250 gram as a percentage of 1 kg (6.) Express the following as percents. a) 4 out of 20 b) 60 marks out of 80 full marks c) 15 girls out of 75 pupils d) Rs 120 out of Rs 480 7. a) \( \frac{2}{5} \) of the number of students of a school are girls. (i) How many percentage of the students are girls? (ii) How many percentage of the students are boys? b) Mrs. Pyakurel spends \( \frac{13}{20} \) parts of her monthly income every month. (i) How many percentage of the income does she spend? (ii) How many percentage of the income does she save? 8. a) There are 360 students in a school. 198 of them are boys.
Aritmética Jan 21, 2025
Two robots, working together, can complete a task in 2 hours. However, working individually, one robot longer than the other to finish the same task. a) What type of equation can be used to determine the time taken by each robot to complete the task individually? b) How long does each robot take to finish the task when working alone?
Álgebra Jan 21, 2025
3. If \( A C=5 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm} \) and \( \angle B=90^{\circ} \), find the value of AB
Geometría Jan 20, 2025
d) A vegetable seller purchased 1 quintal of potatoes at Rs 35 per kg and sold at a loss of Rs 350 . Find: (i) the rate of selling price (ii) Loss percent.
Aritmética Jan 20, 2025
c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per kg and gained Rs 800 . (i) Find the selling price of 50 kg of oranges. (ii) At what rate of price did he buy the oranges? (iii) Calculate his profit percent.
Aritmética Jan 20, 2025
c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per \( \mathbf{k g} \) and gained Rs 800 . (i) Find the selling price of 50 kg of oranges. (ii) At what rate of price did he buy the oranges?
Aritmética Jan 20, 2025
c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per kg and gained Rs 800. (i) Find the selling price of 50 kg .
Aritmética Jan 20, 2025
Draw a symbol of end of page in flowchart.
Otro Jan 20, 2025
10 9 3. Let's say and write the fractions (not necessary in the lowest terms). a) \( 0.4= \) \[ 0.04= \] \( \qquad \) \[ 0.004= \] \( \qquad \) \( 333^{1} \) \( \qquad \) b) \( 0.9= \) \( \qquad \) \( 0.09= \) \( \qquad \) \[ 0.009= \] \( \qquad \) c) \( 1.5= \) \( \qquad \) \( 0.15= \) \( \qquad \) \[ 0.015= \] \( \qquad \) Creative Section draction Creative Section \( \begin{array}{l}\text { 4. Convert the following fractions into decimals. } \\ \text { 4 } 6 \\ 6 \\ \text { b) } \frac{47}{40}, \frac{47}{100}, \frac{47}{1000}\end{array} \) c) 0 , for three a) \( \frac{6}{10} \cdot \frac{6}{100}, \frac{6}{1000} \) b) \( \frac{47}{10}, \frac{47}{100}, \frac{47}{1000} \) c) \( \frac{256}{10}, \frac{256}{100}, \frac{256}{1000} \) \( \qquad \) d) \( \frac{1}{100}, \frac{12}{100}, \frac{123}{100} \) e) \( \frac{5}{10000}, \frac{55}{1000}, \frac{555}{100} \) f) \( \frac{3}{10000}, \frac{34}{1000}, \frac{345}{100}, \frac{3456}{10} \) 5. Let's convert the following fractions into decimals. decimal a) \( \frac{1}{2} \) b) \( \frac{1}{4} \) c) \( \frac{1}{5} \) d) \( \frac{3}{4} \) e) \( \frac{3}{5} \) f) \( \frac{3}{20} \) point! g) \( \frac{9}{25} \) h) \( \frac{27}{50} \) j) \( 2 \frac{3}{4} \) k) \( 4 \frac{2}{5} \) l) \( 7 \frac{2}{3} \) 6. Zonvert the following lecimals into fractions and reduce them to their lowest terms or express in mixed numbers wherever necessary.
Aritmética Jan 20, 2025
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