If 7 kg onions cost 140 rupees, how much cost would we pay for 12 kg onions.
7 kg onions cost 140 rupees. 1 kg onions cost = 140 / 7 = Rs. 20 The cost of... View Article
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If we add 7 to twice a number, we get 49. Find the number.
Let the number be x. 2x + 7 = 49 2x = 49 – 7 2x = 42 x =... View Article
Using the formula, find the value of x in x2 + 7x + 12 = 0.
By using the quadratic formula, \(\begin{array}{l}\mathrm{x}=\frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^{2}-\mathbf{4 a c}}}{\mathbf{2 a}}\\ {a}={1}, {b}={7}, {c}={1 2}\\ \mathrm{x}=\frac{-\mathbf{7} \pm \sqrt{\mathbf{7}^{2}-\mathbf{4} \times \mathbf{1}... View Article
Differentiate the following w.r.t. x: cos2 x3.
Take \(\begin{array}{l}y=\cos ^{2} x^{3}\text \ and \ u=x^{3}\\ y=\cos ^{2} u\\ \text \ Let \ v=\cos u \ and \... View Article
Write the following decimal in expanded form 67.83.
67.83 = 60 + 7 + (8 / 10) + (3 / 100)
The additive inverse of – 3 / 5 is
The additive inverse of – 3 / 5 is 3 / 5.
Write the cartesian and vector equation of the z-axis.
The cartesian and vector equation of the z-axis are \(\begin{array}{l}\frac{\mathbf{x}-\mathbf{0}}{\mathbf{0}}=\frac{\mathbf{y}-\mathbf{0}}{\mathbf{0}}=\frac{\mathbf{z}-\mathbf{0}}{\mathbf{1}}, \overrightarrow{\mathbf{r}}=\lambda \hat{\mathbf{k}}\end{array} \)
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What per cent of his total score did he make by running between the wickets?
Number of runs made by running = 110 – (3 x 4 + 8 x 6) = 110 – (60)... View Article
The expected number of failures preceding the first success in an infinite series of independent trials with constant probability p is
The required probability is calculated as follows. \(\begin{array}{l}\text { The probability of success in } 1^ \text { st, }... View Article
A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number. The picnic site is 55 km from the school and the transport company is charging at the rate of Rs 12 per km. The total cost of refreshments will be Rs 4280. Find 1. The ratio of the number of girls to the number of boys in the class? 2. The cost per head if two teachers are also going with the class? 3. If their first stop is at a place 22 km from the school, what per cent of the total distance of 55 km is this? What per cent of the distance is left to be covered?
Let the total students be x. (60 / 100) × x = 18 x = 30 Boys = 30 –... View Article
Find the measure of each interior angle of a 10 sided regular polygon.
It is a 10 sided regular polygon. \(\begin{array}{l}\text { Each interior angle of a polygon }=\left(\frac{2 n-4}{n}\right) \times 90^{\circ}\\ {n}={1... View Article
PQRS is a trapezium in which SP || RQ, find the measures of ∠P and ∠R. Give reasons.
PQRS is a trapezium. \(\begin{array}{l}{S P} || {R Q} \quad[\text { Given }]\\ \text { The sum of two angles... View Article
Find the roots of the quadratic equation 3x2 – 5x – 12 = 0 by using the quadratic formula.
The given equation is \(\begin{array}{l}3 x^{2}-5 x-12=0 \\ x=\frac{5 \pm \sqrt{(-5)^{2}-(4)(3)(-12)}}{2(3)} \\ x=\frac{5 \pm \sqrt{25+144}}{6} \\ x=\frac{5 \pm \sqrt{169}}{6} \\... View Article
Find the number of parallelograms formed if 10 parallel lines in a plane are intersected by a family of 12 parallel lines.
The number of parallelograms formed = \(\begin{array}{l}={ }^{10} \mathrm{C}_{2} \times{ }^{12} \mathbf{C}_{2}\\ =\frac{10 !}{2 ! 8 !} \times \frac{12 !}{2... View Article
Let E = {1, 2, 3, 4} and F {1, 2}. Then the number of onto functions from E to F is
Total number of functions are 24 = 16. Find the difference between the total number of functions and the functions... View Article
An α – Particle Is Accelerated Through A Potential Difference Of V Volts From Rest. The De-Broglie Wavelength Associated With It Is (In Angstrom):
Kinetic Energy gained by the α-particle by potential difference V is, \(\begin{array}{l} \frac{P^{2}}{2m_{\alpha}} = q_{\alpha}V = 2eV \\ \Rightarrow m_{\alpha}... View Article
What Is 50 Percent Of A Number Whose 200 Percent Is 20
Let the number X Given that 200 per cent of X = 20 ⇒ \(\begin{array}{l} \frac{200}{100} * x = 20\end{array}... View Article
Fill The Appropriate Article For Blank (1) He Was Late By ____ Hour For The Meeting.(2) She Is ____ Honorary Secretary Of The Club.
(1) He Was Late By _An_ Hour For The Meeting (2) She Is An Honorary Secretary Of The Club. Explore more... View Article
Write The Balanced Chemical Equations Of The Following Word Equation: Potassium Dichromate + Sulphuric Acid → Potassium Sulphate + Chromium Sulphate + Water + Oxygen
Potassium Dichromate + Sulphuric Acid → Potassium Sulphate + Chromium Sulphate + Water + Oxygen The Balanced Chemical Equations is... View Article
The Presence Of A Cluster Of Polar Flagella Is Termed As_____
Lophotrichous Lophotrichous are cluster of polar flagella at one end or both ends of the body of bacterium. Explore more... View Article
