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Recent questions tagged sat

A farmer ha a corn field which is 40 acres in measure. 4 men can reap 40 acres in 30 days. How many acres of land will 18 men reap in 12 days ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

Find the value of $x$ and $y$.

asked Nov 25, 2019 by priyanka.clay6

1 answer

Alex and Jim start from their home and move in perpendicular directions as shown in the figure. The co-ordinates of their mid points is $(4,-3)$, what can be the co-ordinate of Alex and Jim ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

Jack shot 100m from the hole during his golf ****. But he wanted the ball to land 5 m in front of the hole, so that it can role to the hole. A 20 m tree is between his ball and the hole, 40 m from the hole and 60m from his ball. With the base of the tree as the origin, write an algebraic expression to model the height of the ball if it just clears the top of the tree.

asked Nov 25, 2019 by priyanka.clay6

1 answer

Cathy walked to school at an average speed of 2.5 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. If her total travelling time was 1.5 hours, what was the total number of miles in the round trip ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

If $w=\dfrac{1}{8} $ then which of the following is equal to $w^{\large\frac{2}{3}} ?$

asked Nov 25, 2019 by priyanka.clay6

1 answer

A rectangular swimming pool has a depth of 10 feet, a width of 26 feet. Water flows into the pool at the rate of 75 feet per hour. How long will it take to fill half its capacity ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION : Determine the domain and range of the function in this situation.

asked Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION: If the path of the tools height were graphed, where would the axis of symmetry be ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. <br><br> QUESTION: How high above the ground is the window ?

asked Nov 24, 2019 by priyanka.clay6

1 answer

A school tornado has enough food to last 20 children for 6 days. If 24 children ended up taking shelter together, for how many fewer days will the food last ?

asked Nov 24, 2019 by priyanka.clay6

1 answer

Jim, and Shane work at a widget factory. The table below shows for a given day, the number of hours they each spent at the factory, the number of widgets they produced, and the number of 15-minute breaks they took while they were in the factory. Each man works at a constant rate. <br> Jim and are each assigned an equal number of widgets. Neither will take breaks in order to complete this assignment as quickly as possible. Jim offers to do a certain percentage of 's assignment so that they both finish at the same time. What percentage of original assignment of does Jim do ?

asked Nov 24, 2019 by priyanka.clay6

1 answer

Which of the following is not a solution of the inequality $3x-5 \geq 4x-3$

asked Nov 24, 2019 by priyanka.clay6

1 answer

Which of the following equation is equivalent to ? <br> $\qquad \frac{2t+1}{2t^2-14t+24}+\frac{5t}{4t^2-8t-12}$

asked Nov 24, 2019 by priyanka.clay6

1 answer

The value of the expression $\frac{2^3.4 -(-3)^2}{(-3)^2+4.5}$ is

asked Nov 23, 2019 by priyanka.clay6

1 answer

In a right triangle with sides $x$ and $y$ and hypotenuse $z$, the altitude drawn on the hypotenuse is $a$, then,

asked Nov 23, 2019 by priyanka.clay6

1 answer

If $a=3\sqrt{2}$ and $4a=\sqrt{2}x$, what is the value of $x$ ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

An object has mass $m=\frac{p+1}{3p+1}$ and density $\rho = \frac{p^2-1}{9p^2+6p+1}$. Determine the volume $v$ where $\rho = \frac{m}{v}$. Also state the restrictions on any variables.

asked Nov 23, 2019 by priyanka.clay6

2 answers

The cross section of a canal is a trapezoid in shape. If its width is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is $675\;m^2$, what can be the length of the canal ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

Siara has designed a pond in the shape of a right triangle with its hypotenuse 3m longer than its leg. Sum of the hypotenuse and its leg is 11 m. What is the length of the third side ( beside hypotenuse and the leg ) ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

A solid cylinder is melted and cast into a cone of same radius. Find the ratio of their heights ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

A sphere is just enclosed inside a cube of volume $24 cm^3$. Find the volume of the sphere.

asked Nov 23, 2019 by priyanka.clay6

1 answer

The radii of two circles are 4 cm and 3 cm respectively. Find the radius of a circle having area equal to the sum of the areas of the circle.

asked Nov 23, 2019 by priyanka.clay6

1 answer

If each side of an equilateral triangle is increased by $2\; cm$ then its area increases by $3\sqrt{3} cm^2$. Find the length of each side.

asked Nov 23, 2019 by priyanka.clay6

1 answer

If O is center of a circle and AO and OB are radius of the circle, and AP and PB are tangents, then what is the angle $\angle{AOB}$ ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

The factors of $18x^2-50$ are

asked Nov 23, 2019 by priyanka.clay6

1 answer

Suppose a $3 \times 3 \times 3$ cube is painted red and then divided into twenty seven $1 \times 1 \times 1$ cubes, how many of the $27$ smaller cubes are colored red color on two faces ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

John invested an amount of $\$1500$ at the rate of $6\%$ simple interest for 5 years. After how many years will the amount be same, if he invested $\$1700$ at the rate of $5\%$ ?

asked Nov 22, 2019 by priyanka.clay6

1 answer

If each of the number in the following sum is increased by $t$, the new sum would be $5.32$. What is the value of $t$ ? <br> 0.63 +0.82 +0.39 +0.85 = 2.69

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. <br> United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. <br> United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. <br> United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

A farmer has 450 m of fencing to enclose a rectangular area and divide it into two sections as shown. Write an equation to express the total area enclosed as a function of the width.

asked Nov 21, 2019 by priyanka.clay6

1 answer

What can be the possible values of $v$, if $12v^2+4v-3=0$

asked Nov 20, 2019 by priyanka.clay6

1 answer

What is the value of $\begin{align}\frac{3^{90} \times 27^{90}}{9^{30}} \end{align}$

asked Nov 20, 2019 by priyanka.clay6

1 answer

Of all houses in a neighborhood, $80\%$ have garages. Of those houses with garages, $60\%$ have two car garages. If there are 64 houses with garages, that are not two car garages, how many houses are there in the neighborhood ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Volume of a cone is $\dfrac{1}{3} \pi r^2h$. What will be its height in terms of $v$ and $r$ ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

The combined gas law formula $\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$ gives the relationship between volume, temperature and pressure of two fixed amounts of gas. Which of the following gives $P_2$ in terms of the other variables?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Which of the following is equivalent $(27 x^9 y^6z^3)^{^{1/3}}$ ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Max invest $\$P$ in a bank where amount compounds annually at the rate of $r\%$. If he plans to invest for $t$ years, the amount he will get after $t$ years is $\begin{align} A = P \begin{pmatrix}1+\frac{r}{100}\end{pmatrix}^t \end{align}$. In how many years will his amount double ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Which of the following number lines represent the solutions to the inequality ? <br>

asked Nov 20, 2019 by priyanka.clay6

1 answer

If $f(x)= \sqrt{4x-3}$, what is the smallest positive value of $f(x) $ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

The graph of a line $'l'$ in the $xy$-plane passes through the points $(-3,5)$ and $(1,2)$. The graph of the line $'m'$ has a slope of $-2$ and an $x$ intercept $3$. If the point $(x,y)$ is the point of intersection of lines $l$ and $m$, what is the value of $y$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

In the figure given $\tan a = x$. What is the value of $\cos b$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

The circle shown in the figure has an area 20. BC is tangent to the circle with centre A at point B. If $AC = 2AB$, then what is the area of the shaded region ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

If $(8)^{-1} = (2)^{-(x+2)}$, what is the value of $x$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

If $g$ is a function defined over the set of all real numbers, and $g(x-2)=2x^2+3x-4$ then which of the following defines $g(x)$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

In a leading retail store, the sale of clothes of different material during winter is as shown in the pie chart : The ratio of the sales of wollen clothes to that of leather is $3:2$, what is the percentage of sales of leather ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

Which of the following is equivalent to $x^3+2x^2-x-2$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

If $i=\sqrt{-1}$, what is the value of $(i+3)(i-\frac{1}{2})?$

asked Nov 18, 2019 by priyanka.clay6

1 answer

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