Recent questions tagged linear-equations

For any number $a$ and $b$ , if $a+b$ is defined as $(a^2+b^2)+(a+b)$ what is the value of $5+7$ ?

asked May 7, 2019 by meena.clay6

1 answer

For any number a and b , $a+b$ be defined to in $(a^2+b^2)+(a+b)$ what is the value of $5+7$

asked May 7, 2019 by meena.clay6

0 answers

If $x+y=18$ and $2x+by=6$ what can be the value of $b$ so that system has an unique solution

asked May 7, 2019 by meena.clay6

1 answer

$(x^3-7x+12) \div (x-3)(x-5)=$

asked May 3, 2019 by meena.clay6

1 answer

Reena rides her bike to and from school. It takes more than 5 minutes and less than seven minutes to bike the first three blocks to school, and she is able to get to school in less than 20 minutes . If x represents the number of minutes it takes Reena to ride the first three blocks to school and y the remaining distance, which of the following system of inequalities models the word problem

asked May 3, 2019 by meena.clay6

1 answer

The coordinates of $\Delta ABC$ are $A(0,0), \;B(8,0)$ and $C(3,5)$. What is the sum of the slopes of the three sides of the triangle ?

asked Apr 30, 2019 by priyanka.clay6

1 answer

In the given figure what is the area of the $\Delta PQR$ ?

asked Apr 29, 2019 by priyanka.clay6

1 answer

The sum of two numbers is 18 and their difference is 4. what is their product ?

asked Apr 29, 2019 by meena.clay6

1 answer

$\large\frac{2x+5}{33}=\frac{x-5}{11}$ what is the value of x ?

asked Apr 29, 2019 by meena.clay6

1 answer

In the $xy$ plane, the point $(a,b)$ lies on the line with the equation $y = x+c$ where $c$ is a constant. The point with coordinate $(3a,2b)$ lies on the line with equation $y=3x+c$. If $a \neq 0$. What is the value of $\frac{b}{a}$ ?

asked Apr 29, 2019 by priyanka.clay6

1 answer

What is the greatest value of $x$ that is the solution of the following equation ?

asked Apr 29, 2019 by priyanka.clay6

1 answer

$\large\frac{1}{10}$th of the total ducks are swimming in a pond and $\large\frac{1}{5}$th of the total ducks are moving on the grass surrounding the pond. If the count of ducks outside the pond and grass are $28$, what is the total number of ducks ?

asked Apr 29, 2019 by meena.clay6

1 answer

Liza is a math teacher. She wrote three consecutive even numbers on the board. She then multiplied the first by 2, the second by 3 and the third by four. Finally she added all the numbers and got the sum as 394. What was the smallest number she wrote ?

asked Apr 28, 2019 by priyanka.clay6

1 answer

If $3 (\sqrt{x} + 1) = \sqrt{x} + 23$, then $x=$

asked Apr 28, 2019 by priyanka.clay6

1 answer

In the xy-plane, the graph of which of the following equation, is a line with slope 3 ?

asked Apr 27, 2019 by priyanka.clay6

1 answer

An airplane flies at a constant altitude of 40,000 feet above sea level. As it starts to land, it descends at a rate of $x$ feet per minute. At what altitude is the plane $y$ minutes after it begins to descend ?

asked Apr 27, 2019 by priyanka.clay6

1 answer

Equation for finding the value of a cone is given by $v = \frac{1}{3} \pi r^2h$, where $v$ is the volume, $r$ is the radius and $h$ is the vertical height of the cone. Give the equation to find its radius in term of $v$ and $h$.

asked Apr 27, 2019 by priyanka.clay6

1 answer

What is the y-intercept of the line containing the points (2, -7) and (3, 6) ?

asked Apr 24, 2019 by priyanka.clay6

1 answer

If 6 gricks are equivalent to 5 merts, then 2 merts are equivalent to how many gricks?

asked Apr 24, 2019 by priyanka.clay6

1 answer

The area of a rectangle whose length is $x$ and width $y$ is 36. What is the least possible value of its perimeter ?

asked Apr 24, 2019 by priyanka.clay6

1 answer

If $\dfrac{4y^4}{3} = y^5$, then $y$ is equal to

asked Apr 24, 2019 by priyanka.clay6

1 answer

In the fig below, given line l is parallel to line $m$, what can be the value of $P$ ?

asked Apr 12, 2019 by meena.clay6

1 answer

The x - intercept of the graph given below is :

asked Apr 10, 2019 by meena.clay6

1 answer

The sales of laptop in a leading shop in shown in the graph below.It shows the increase and decrease of sales in different years. In which year range are sales strictly increasing and then decreasing ?

asked Apr 9, 2019 by meena.clay6

1 answer

Two points AB and CD are to be planter on a lakebed, Which is represented by a sketch below. The lengths AO,BO,OD and CD are given by 1500 ft, 1000 ft, 500 ft and 250 ft respectively. The segments AD and BC intersect at O. $\angle BAO$ and $\angle CDO$ have same measurement . What can be the value of x

asked Apr 9, 2019 by meena.clay6

1 answer

The given system of equation <br> $\qquad \qquad 3x+4y =5; \large\frac{9}{2} $$x +6y=\large\frac{15}{2}$has :

asked Apr 7, 2019 by priyanka.clay6

1 answer

Divide 36 into two parts in such a way that $\frac{1}{5}$ of one part is equal to $\frac{1}{7}$ of the other.

asked Apr 7, 2019 by priyanka.clay6

1 answer

$2(5x+8) < 100 - 4x$ implies

asked Apr 7, 2019 by priyanka.clay6

1 answer

The equation of a line that goes through the point $(-1, 3)$ and has a slope of $\frac{1}{3}$ is

asked Apr 7, 2019 by priyanka.clay6

1 answer

Allen scripts his show for 10 minutes and makes it available for downloading and streaming. He earns $ \$0.08$ each time his show is downloaded and $\$0.002$ each time it is streaming. Which of the following expression represents the amount in dollars, he earns if the show is downloaded $d$ times and streamed $s$ times?

asked Apr 6, 2019 by priyanka.clay6

1 answer

If $\begin{align}\frac{a^{x-2}}{a^{y+2}} = a^4 \end{align}$ then $x-y$ is

asked Apr 5, 2019 by priyanka.clay6

1 answer

Solve for $x : 4^{x+5} = 8^{2x+4}$

asked Apr 5, 2019 by priyanka.clay6

1 answer

The equation of line 1 is $y=3x+4$ and the equation of line 2 is $3y = 9x+12$. The relationship between the two lines is

asked Apr 5, 2019 by priyanka.clay6

1 answer

$\qquad\qquad \qquad x-y=0$ <br> $\qquad\qquad \qquad2x+3y=5$ <br> Which of the following ordered pain $(x,y)$ satisfies the above system of equation.

asked Apr 4, 2019 by priyanka.clay6

1 answer

If $4x+8=9$, what is $12x+24$ ?

asked Apr 4, 2019 by priyanka.clay6

1 answer

If $|2x+1| = 2 |K+x|$, for all values of $x$, what is the value of $|K|$ ?

asked Apr 2, 2019 by priyanka.clay6

1 answer

If $a = 50(99)^{99} + 20(99)^{99}, \; b = 99^{100} $ and $c = 90(90)^{99}$, then which of the following expresses the correct ordering of $a, \; b$ and $c$.

asked Apr 2, 2019 by priyanka.clay6

1 answer

If $\frac{2}{3}$ of the seats at a football stadium were filled in the beginning of the game, and at halftime 1000 spectators left, leaving $\frac{3}{7}$ of the seats filled, what is the total number of seats in the stadium ?

asked Apr 2, 2019 by priyanka.clay6

1 answer

If $x+8 = 11$, what is the value of $x+9$ ?

asked Apr 2, 2019 by priyanka.clay6

1 answer