Recent questions tagged linear-equations

Charlene earns $\$150$ more per week than her roommate Kristi, who earns $\$200$ less than her other roommate Sacha. Together the three friends earn $\$2050$ per week. How much does each girl earn per week ?

asked Jul 9, 2020 by vijisuchy1963

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Which of the following ordered pairs $(x,y)$ satisfies the system of inequalities below ? $\qquad y \leq 2x+3$ $\qquad x+y>3$

asked Jan 11, 2020 by priyanka.clay6

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The $n^{th}$ term of a sequence is $7(n+5)$. Which is the first term to be larger than $100 $ ?

asked Jan 8, 2020 by priyanka.clay6

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Which of the following equation can be the perpendicular to the equation $4x+5y=8$

asked Jan 8, 2020 by priyanka.clay6

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What can be the equation for the graph given below ?

asked Jan 7, 2020 by priyanka.clay6

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If $m^2-4n^2=32$ and $m+2n=8$, what is the value of $m-2n?$

asked Jan 7, 2020 by priyanka.clay6

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The area of the triangle formed by the points $A(2,0), \;B(6, 0)$ and $C(4,6)$ is

asked Jan 7, 2020 by priyanka.clay6

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asked Jan 6, 2020 by priyanka.clay6

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Line $m$ has the equation $y=3x+5$ and line $n$ has the equation $y=2x+(k-1).$ If these two lines intersect t the point $(0,1)$. What is the value of $k$ ?

asked Jan 6, 2020 by priyanka.clay6

1 answer

Tim wants to rent a car. The rental cost for the car is $\$ 40$ per day and he has to pay for the immance which costs $\$5$. Tim wants to spend no more than $\$280$ for car and the immance. If the car rental is available only for a whole number of days. What is the maximum number of days for which Tim can rent the car ?

asked Jan 6, 2020 by priyanka.clay6

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If $\large\frac{1}{2} (3x+y)=\large\frac{15}{2}$ and $y = 3x$, what is the value of $x$?

asked Jan 6, 2020 by priyanka.clay6

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If $3x+2 \leq 9 \leq x+3$, which of the following graphs represent this inequality.

asked Jan 3, 2020 by priyanka.clay6

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Given $f(x)=x^3-3$ and $g(x)=x+2.$ What is $f(g(2))?$

asked Jan 3, 2020 by priyanka.clay6

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If $x=\frac{3}{2}y$ and $y=6$, what is the value of $3x-2?$

asked Jan 3, 2020 by priyanka.clay6

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Salim has two kinds of food nutrients to add to a health drink. Nutrient A has $60\%$ filler materials by weight and Nutrient B has $40\%$ filler materials by weight. When added together, they had 240 pounds. Which equation models this relationship, where $x$ is the number of pounds of nutrient $A$ and $y$ is the number of pounds of nutrient $B$ ?

asked Jan 3, 2020 by priyanka.clay6

1 answer

Christy rented a car. She has to pay $\$ x$ for the first 10 miles and thereafter $\$2.50$ for every mile. If she had travelled $y$ miles. What would be the total cost she has to pay ?

asked Jan 3, 2020 by priyanka.clay6

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Simplify : $\large(\frac{3x}{2}) \div (\frac{x^3}{5})$

asked Dec 22, 2019 by priyanka.clay6

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Two functions are given as $f(x)=x^2-3x$ and $g(x)=1-2x$. Then $f(g(x)) =$

asked Dec 22, 2019 by priyanka.clay6

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Equation of a line is given by $y=ax+b,$ if a line is drawn parallel to this line,which of the following can be its equation.

asked Dec 19, 2019 by priyanka.clay6

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Which of the following ordered pairs $(x,y)$ satisfies the inequality $5x-3y<4 ?$ $\qquad (i) (1,1) \qquad (ii) (2,5) \qquad (iii) (3,2)$

asked Dec 19, 2019 by priyanka.clay6

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Which of this is equivalent to the one given below ? $\qquad(4x^3+3x^2-2) - (2x^2-x+1)$

asked Dec 19, 2019 by priyanka.clay6

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A rental taxi in a city charges $\$10$ for first mile and adds $\$4 $ per mile for subsequent distance covered which of the following graph represents this ?

asked Dec 19, 2019 by priyanka.clay6

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The linear equation that converts Farenheit (F) to Celcius (C) is given by the relation $ \qquad \qquad C = \large\frac{5F-160}{9}$ If the temperature is $35^{\circ}C$, what is the temperature in Farenheit ?

asked Dec 18, 2019 by priyanka.clay6

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If $7x+9y=42$ and $9x+7y=22$, then find the value of $x+y$

asked Dec 18, 2019 by priyanka.clay6

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If the lines $3x+2y+7=0$ and $4x+ky+18=0$ intersect at a point, then the values of $k$ is

asked Dec 17, 2019 by priyanka.clay6

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$\large\frac{2x+5}{(x-2)^2} = \frac{t}{(x-2)}$, where $t$ is a constant and $x \neq 2.$ What is the value of $t$?

asked Dec 17, 2019 by priyanka.clay6

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$x+y=9$ and $x+2y=-25$, find the value of $x$

asked Dec 16, 2019 by priyanka.clay6

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At what point does the graph of the linear equation $2x+3y=9$ meet a line which is parallel to the $y$-axis, at a distance of 4 units from the origin and on the right of $y$-axis ?

asked Dec 16, 2019 by priyanka.clay6

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Patrick wants to construct a wall and he uses the formula $n=8lh$ to estimate the number of bricks $'n'$ needed to build a wall, $l$ is the length of the wall and $h$ is the height. Which of the following correctly expresses $l$ in terms of $n$ and $h$.

asked Dec 16, 2019 by priyanka.clay6

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Given a function $h(x) =3x^2+2x-4,$ what can be the value of $h(-2)$ ?

asked Dec 16, 2019 by priyanka.clay6

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Which of the following is the graph of the equation $y = 3x-6$ in the xy plane ?

asked Dec 16, 2019 by priyanka.clay6

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Which of the following is equivalent to $(256)^{3/4}$

asked Dec 13, 2019 by priyanka.clay6

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Antony wants to purchase tickets from a vendor to watch a foot ball match. The vendor charge a one time service fee for processing the purchase of the tickets. The equation $T=12n+15,$ represents the total amount $T$ in dollars, he will pay for $n$ tickets. What does 15 represents ?

asked Dec 13, 2019 by priyanka.clay6

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What is the remainder when $3x^3-6x^2+4x -3$ is divided by $3x-1$ ?

asked Dec 13, 2019 by priyanka.clay6

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Line $m$ has the equation $y=3x+5$ and line $n$ has the equation $y=2x+(k-1).$ If these two lines intersect t the point $(0,1)$. What is the value of $k$ ?

asked Dec 13, 2019 by priyanka.clay6

1 answer

$\large\frac{4}{x-2} = \large\frac{8}{y}, $ where $x \neq 2$ and $y \neq 0$. What is $y$ in terms of $x$ ?

asked Dec 12, 2019 by priyanka.clay6

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If $x=\large\frac{1}{3}(x-y)$, what is expression of $x$ in terms of $y$?

asked Dec 11, 2019 by priyanka.clay6

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If $f(x) = x+6,$ for what value of $x$ does $f(4x)=f(x+4)?$

asked Dec 11, 2019 by priyanka.clay6

1 answer