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Two complimentary angles are in the ratio 2:3. Find the angles

Which of the following is a linear expression?

If the length of a rectangle is 5 cm and its breadth is 2 cm, then the ratio of length to breadth is ________.

Question 21

Which of the following is not true?
(a)$3^2>2^3$
(b)$4^3=2^6$
(c)$3^3=9$
(d)$2^5>5^2$

The value of $({\left(32{)}^{-1}\right)}^{-2}$ is

The marked price of a watch is Rs 1250 and the shopkeeper allows 6% of discount on it. Find the selling price of watch.
[2 MARKS]

Which of the following is a variable?

$5,x,3.14,\frac{3x}{2x}$

Question 7

Only one of the four options is correct. Write the correct one.

On a shelf, books with green cover and that with brown cover are in the ratio 2 : 3. If there are 18 books with green cover, then the number of books with brown cover is

a) 12

b) 24

c) 27

d) 36

Fill in the blanks:
$1$ m =........... km

Question 79

Change the statement, converting expression into statement in ordinary language:

John planted t plants last year. His friend Jay planted 2t + 10 plants that year.

The point V(4, -6) is reflected over the x-axis. What are the coordinates of the resulting point V′?

Question 93 (ii)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^2-3x+2$

${\left(\frac{3}{4}\right)}^5÷{\left(\frac{3}{5}\right)}^5$ is equal to

The present age of Pratik and Arjun are in the ratio 2:3. After 4 years, the ratio of their ages will be 4:5. Pratik's present age is _____ years.

How long will it take to drive 500 km if you are driving at a speed of 50 km per hour?

The lines represented by the equation $9x^2+24xy+16y^2+21x+28y+6=0$ are

Solve $9^{4x}÷3^{2x}=2187$ and find the value of x.

A parallelogram of area $48c{m}^2$ is divided into two congruent triangles. If the height of the triangle is 4 cm, find the length of base of the triangle.

What is the quotient, when a non-zero rational number is divided by its additive inverse?

Match the following:

$\begin{array}{cc}\text{a. Co.interior angles on the same side of the transversal}& \text{(i)}1–5,2–6,3–7and4–8\\ \text{b. Alternate exterior angles}& \text{(ii)}4–6,3–5\\ \text{c. Corresponding angles}& \text{(iii)}1–7,2–8\\ \text{d. Alternate interior angles}& \text{(iv)}3–6,4-5\end{array}$

$65÷(-13)=$___ .

Number of terms in the expression $a^2+bc\times d$ is __.

If $\sqrt{1369}+\sqrt{0.0615+x}=37.25$, find the value of $x$?

$2\frac{1}{4}\text{of}2\frac{2}{3}$ = ____

Question 91
State whether the statement is True or False.
The solid shapes are of 2-dimensional.

The following pictures show different types of what?

Let A = {1, 3, 5, 7, 9} and B = {2, 4, 6, 8}. An element (a, b) of their Cartesian product $A\times B$ is chosen at random. The probability that a + b = 9, is

The binding energy of deutron ${}_1{H}^2$ is $1.112MeV$ per nucleon and an alpha particle ${}_{2}H{e}^4$ has a binding energy of $7.047MeV$ per nucleon. Then, in the fusion rection

${}_1{H}^2{+}_1{H}^2{\to }_{2}H{e}^4+Q$, the energy $Q$ released is

(take mass of ${}_1{H}^2=2.01478u$;

mass of ${}_{2}H{e}^4=4.00338u$)

Two trains each of length 150 m are moving in opposite direction at 36 km/hr and 72 km/hr respectively. Time taken by them to just cross each other completely is

What is 427/198

Question 84

Express $\frac{1}{100}$ as a per cent.

The reciprocal of $\frac{1}{3}$ is ___ [Enter a numerical value]

Question 4(iv)

Give expressions for the following cases.

p divided by 7.