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Problem solving and Data Analysis
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 ?
cl108565
sat
math
linear-equations
answered
Jul 9
by
vijisuchy1963
1
answer
At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age $m$ of all the combined group of male and female primates of the primate reserve ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jun 1
by
pkwasi1
2
answers
If $\overline{PQ} \cong \overline{AB}$ and $\overline{AB} \cong \overline{CD}$, then $\overline{PQ} \cong \overline{CD}$. Which of the properties below does the lines signify ?
sat
math
lines-angles-and-triangles
answered
May 20
by
meena.clay6
1
answer
$d$ and $m$ are the parallel tangent at $A$ and $B$. The tangent at $C$ makes an intercept $DE$ between $d$ and $m$. Hence $\angle{DFE}$ = ________
sat
math
circles
answered
May 16
by
pady_1
1
answer
A line intersects the $y$ axis and $x$ axis at the points $P$ and $Q$ respectively. If $(2,-5)$ is the mid point of $PQ$, then the coordinates of $P$ and $Q$ are
sat
math
linear-equations
calculator
answered
Apr 18
by
pkiran3639
2
answers
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.
sat
math
quadratic-equations
calculator
answered
Apr 11
by
arpit157.15
2
answers
The vertex of the parabola in the $x-y$ plane above is $(0,c)$. Which of the following is true about the parabola with the equation $y=a(x-b)^2+c ?$
sat
math
quadratic-equations
no calculator
answered
Mar 30
by
wynso.nonoz
2
answers
In a Rhombus $PQRS$, if $PQ=PR$, then $\angle{PQR} =$
sat
math
lines-angles-and-triangles
no calculator
answered
Feb 20
by
shrishtimehta1
2
answers
Evaluate : $\large\frac{10+2i}{(3+i)(3-i)}\qquad (i=\sqrt{-1})$
sat
math
trigonometry
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, $14\%$ are parents of the students, $48\%$ are teachers from the current high school, $28\%$ are school and district administrators and the remaining $8$ individuals are students. How many more teachers were invited to join the committee than school and district administrators ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
A circle with centre $'O'$ lies on the point $(3, -6)$ and has centre $(0,0)$. What can be its radius ?
sat
math
circles
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
A tank can be filled by one tap in 4 hours and another tap in 6 hours. How long will it take to fill the tank if both taps are opened together ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
What values of a would make the given quadrilateral a parallelogram in the figure given below ?
sat
math
lines-angles-and-triangles
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
A godown measures : $40\; ft \times 25 \;ft \times 15\;ft$. What can be the maximum number of wooden crates each measuring $1.5 \;ft \times 1.25 \;ft \times 0.5 \;ft$ that can be stored in godown ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
Simplify : $(5\sqrt{2})^2 - (6\sqrt{3})^2$
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
If the $xy$ plane, the graph of $y=x^2-16$ intersects the graph $y=2x$ at the points $(0,0)$ and $(x,y)$. What are the values of $x$ and $y$?
sat
math
quadratic-equations
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
Which of the following ordered pairs $(x,y)$ satisfies the system of inequalities below ? <br> $\qquad y \leq 2x+3$ <br> $\qquad x+y>3$
sat
math
linear-equations
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
The total area of a city in Michigan is $102.1$ square miles of which $13.1$ square miles is water. If the city had a population of $621,000$ people in the year $2012,$ which of the following is closest to the population density in people per square mile of land area, of the city at that time ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 11
by
priyanka.clay6
1
answer
During performing the experiment to find out the Latent heat of fusion ice, in a laboratory, when ice began to melt, the temperature remains at $0^{\circ}C$ the liquid water that is formed with latent heat of fusion is also at $0^{\circ}C$. Which of the following graph represents this latent heat of fusion ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
$\large\frac{y^2-5y-24}{9y^2-10y+16}=$
sat
math
quadratic-equations
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
Given: $f(x)=2x^2-3x+5$, determine $f(-3)$
sat
math
quadratic-equations
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
The factors of $x^4+2x^2+9$ are ?
sat
math
quadratic-equations
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
If the sides of a rectangular field are $80$ and $18\; ft$ respectively, what will be the length of its diagonal ?
sat
math
lines-angles-and-triangles
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
Jack found a watch which was worth $\$540$ had an offer for sale at $\$450$ during Thanks giving. What percent discount is offered during the sale?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
Allen sells stationery items in his shop. Since the sales was going on in a very slow process, he decreased the prices of the products by $10\%$. There by the number of products sold increased by $30\%$. What is the increase in the total revenue ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
The circumference of a circle is $60\;cm$. An arc subtends $90^{\circ}$ at the centre. Find its length.
sat
math
circles
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is
sat
math
lines-angles-and-triangles
calculator
answered
Jan 9
by
priyanka.clay6
1
answer
The $n^{th}$ term of a sequence is $7(n+5)$. Which is the first term to be larger than $100 $ ?
sat
math
linear-equations
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The $n^{th} $ term of a sequence is $7(n+5)$. What is the $100^{th}$ term ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The $n^{th}$ term of a sequence is $7(n+5 )$ . What are the first four terms ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
Write the expression (x + 5)(x + 2) as a polynomial in standard form.
sat
math
quadratic-equations
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
In a toy company , it required 36 machines to produce a certain number of car toys in 54 days . How many machines would be required to produce the same number of car toys in 81 days ?
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The graph below represents number of families with different number of members in a locality. <br> Read the bar graph given carefully and answer the following question.
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The graph below represents number of families with different number of members in a locality. <br> Read the bar graph given carefully and answer the following question.
sat
math
problem-solving-and-data-analysis
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
In the circle given below $\angle{PQR}=100^{\circ}$, where $P, Q$ and $R$ are points on a circle with centre $O.$ Then $\angle{OPR}=$
sat
math
circles
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The centre 'O' of a circle of radius 5. If $PT$ is the tangent to the circle, whose length is $12$. What is the length of $OP$ ?
sat
math
circles
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
School of Troy decided to award prizes to the most punctual and the most obedient student. The sum of two prizes is $\$150$ and this product is $\$5600.$ Which of the following can be the equation to represent the above condition ?
sat
math
quadratic-equations
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
Which of the following equation can be the perpendicular to the equation $4x+5y=8$
sat
math
linear-equations
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
In the figure given below $DE || AC$ and $DF||AE$. Then which of the following statement is correct ?
sat
math
lines-angles-and-triangles
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
If $i=\sqrt{-1}$, what is the value of $i^{24}+i^{32}$
sat
math
trigonometry
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
If $\sin \theta - \cos \theta = \frac{1}{2},$ then the value of $\large\frac{1}{\sin \theta + \cos \theta} = $
sat
math
trigonometry
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
In the diagram below if $\dfrac{y}{x}=5$ and $\dfrac{z}{x}=4$, then the value of $x$ is
sat
math
lines-angles-and-triangles
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
The perimeter increase in the area of a triangle if its each side is doubled is
sat
math
lines-angles-and-triangles
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
If $x^2+2xy+y^2=36$ and $y-x=6$ what is the value of $x$ ?
sat
math
quadratic-equations
calculator
answered
Jan 8
by
priyanka.clay6
1
answer
What can be the equation of the line whose slope is $\frac{1}{7}$ and y intercept 6 ?
sat
math
quadratic-equations
calculator
answered
Jan 7
by
priyanka.clay6
1
answer
What can be the equation for the graph given below ?
sat
math
linear-equations
no calculator
answered
Jan 7
by
priyanka.clay6
1
answer
If $m^2-4n^2=32$ and $m+2n=8$, what is the value of $m-2n?$
sat
math
linear-equations
no calculator
answered
Jan 7
by
priyanka.clay6
1
answer
If $a=0.999,$ which of the following is less than $a$?
sat
math
problem-solving-and-data-analysis
no calculator
answered
Jan 7
by
priyanka.clay6
1
answer
For any positive integer $n,\;n!$ mean the product of all, integer from $1 $ to $n$. What is the value of $\large\frac{1}{5!} + \frac{1}{4!}$
sat
math
problem-solving-and-data-analysis
no calculator
answered
Jan 7
by
priyanka.clay6
1
answer
A circle with centre $O(-3,-4)$ has a radius of 13 units. Which of the following can be its equation
sat
math
circles
calculator
answered
Jan 7
by
priyanka.clay6
1
answer
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