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How many ordered sets of positive integer triples (a,b,c) are there such that a+b*c=100
3 answers
asked by
Mary
462 views
The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7, such that no two vertices are labeled with the same
1 answer
asked by
Mary
382 views
Suppose Z=a+bi , where a and b are integers and i is the imaginary unit. We are given that |1+iZ| = |1-iZ| and |Z-(13+15i)|<17 .
1 answer
asked by
Mary
304 views
Find the value of x: (2x-1)/(x+1)=2x/(x-1)-(5/x)
3 answers
asked by
Seth
248 views
The dimensions of rectangle B are twice the dimensions of rectangle A. The area of rectangle B is 200 cm2.
What is the area of
3 answers
asked by
Sanya
523 views
How many ordered quadruples of distinct positive integers (a,b,c,d) are there such that 1/a+1/b+1/c+1/d=1?
2 answers
asked by
Ayush
466 views
Using the exact trigonometric ratios of 45 degree,30 degree and 60 degree,evaluate the following,leaving where necessary your
2 answers
asked by
Shane
613 views
An aeroplane flies due north for 200 km and then turns due east and flies for a further distance of 325km. Find the bearing,to
2 answers
asked by
Shane
757 views
How many ordered quadruples of distinct positive integers (a,b,c,d) are there such that 1/a+1/b+1/c+1/d=1?
1 answer
asked by
Ayush
435 views
Find all the values of theta between 0 degree and 360 degree, and state the quadrants in which they exist. (a)cos theta=-0.71
2 answers
asked by
Shane
687 views
What is the sum of all real solutions to the equation x−6/4=−2/x?
1 answer
asked by
Oian
352 views
Suppose z=a+bi, where a and b are integers and i is the imaginary unit. We are given that |1+iz|=|1−iz| and |z−(13+15i)|<17.
1 answer
asked by
Oian
344 views
Let f(x)=2x^2+40x+25. Given that f(x) leaves the same remainder when divided by x−a as when divided by x+2a for a positive
1 answer
asked by
Oian
356 views
A 40m deep well with radius 3.5m is dug and the earth taken out is evenly spread to form a platform of dimensions 28m by
1 answer
asked by
Anonymous
436 views
A 40m deep well with radius 3.5m is dug and the earth taken out is evenly spread to form a platform of dimensions 28m by
1 answer
asked by
Anonymous
429 views
A 40m deep well with radius 3.5m is dug and the earth taken out is evenly spread to form a platform of dimensions 28m by
5 answers
asked by
Anonymous
498 views
Two players each flip a fair coin. The probability that they get the same result can be expressed as ab where a and b are
3 answers
asked by
Ian
425 views
If two six-sided dice are rolled, the probability that they both show the same number can be expressed as ab where a and b are
2 answers
asked by
Ian
528 views
Triangle ABC has lengths AB=14, AC=18 and also a given angle of ∠BAC=30∘. What is the area of triangle ABC?
1 answer
asked by
Ian
450 views
In triangle ABC, D is the midpoint of AC and E is the midpoint of AB. BD and CE are perpendicular to each other and intersect at
4 answers
asked by
Ian
2,357 views
Let N=1!⋅2!⋅3!⋅4!…9!⋅10!. Let 2^k be the largest power of 2 that divides N. What is the value of k?
1 answer
asked by
Ian
340 views
Two players each flip a fair coin. The probability that they get the same result can be expressed as ab where a and b are
5 answers
asked by
Ian
417 views
Find the number of positive integers <1000 that can be expressed as 2^k−2^m, where k and m are non-negative integers.
3 answers
asked by
Ian
436 views
Solve for the value of x: 6log(x^2+1)-x=0
1 answer
asked by
Seth
342 views
The perimeter of a rectangular wall is 56m, there are 4 circular windows with a circumference of 7,54m each, the wall has 2
1 answer
asked by
Lubeth
387 views
How many integer values x satisfy the inequality 2<3x−1/6<5?
4 answers
asked by
Ian
995 views
A bag contains 10 red marbles, 10 green marbles, 10 yellow marbles and 10 blue marbles. You reach into the bag and grab a
4 answers
asked by
Ian
1,161 views
A tower T is observed from two points A and B which are 240 metres apart. The angle TAB is found to be 57degree and the angle
4 answers
asked by
Shane
521 views
Iam stuck.Please anyone help me. P and Q are two trees 490m apart beside a river. F is a flagpole on the other side of the
1 answer
asked by
Shane
388 views
Please help me. P and Q are two gun placements 1250m apart. T is a target. The angles TPQ and TQP are 73 degree 24' and 68
3 answers
asked by
Shane
314 views
Find the number of solutions to the equation
1/a+1/b+1/c+1/d=1 where a, b, c, d are positive integers and a≤b≤c≤d
2 answers
asked by
OIan
630 views
x,y and z are positive integers such that x<y,x+y=201,z−x=200. What is the maximum value of x+y+z?
1 answer
asked by
OIan
270 views
Let A,B and C be matrices such that
A=(1 2 3 1 2 3) , B=(1 2 2 4 2 3) and C=AB. What is the sum of all the elements (entries) of
1 answer
asked by
OIan
437 views
The function f(x)=x^4−15(x^3)+81(x^2)−201x+182 has four complex roots, one of which is 3−2i. What is the sum of all real
2 answers
asked by
OIan
917 views
There is a one in three chance that if Yasmin misses the 7:00 a.m train, she will get a seat on the 8:00 a.m train. Using a
1 answer
asked by
Avril
325 views
There is a one in three chance that if Yasmin misses the 7:00 a.m train, she will get a seat on the 8:00 a.m train. Using a
1 answer
asked by
Avril
324 views
There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a
7 answers
asked by
Mathsfreak
507 views
Find the values of x when,
x raised to the power root x = x raised to the power x whole under root.
2 answers
asked by
Bryan
765 views
If the quadratic kx^2−14x+1 is a perfect square polynomial, what is the value of k
1 answer
asked by
A
429 views
There are two complex roots to the quadratic equation z^2 +(1−16i)z+(−80+10i)=0 .
What is the value of the larger of the two
1 answer
asked by
Tony
419 views
Given that on average, an atom of gold weighs 3.27×10^−22grams, how much
does an Avagadro’s number of gold atoms weigh (take
2 answers
asked by
Katie
700 views
For how many odd positive integers n<1000 does the number of positive divisors of n divide n?
1 answer
asked by
OIan
400 views
a and b are consecutive, positive integers such that a^2−b^2>22. What is the minimum possible value of a+b?
1 answer
asked by
OIan
271 views
Five red cards numbered 1,2,3,4,5 and two black cards both numbered 5 are randomly ordered face-down into a pile. The cards are
3 answers
asked by
OIan
476 views
Sketch the graph of f(x)=x^3-3x+3
1 answer
asked by
Ayabulela
284 views
3m=12
1 answer
asked by
Anonymous
192 views
the figure below shows 3 similar circles that just touch one another.A,Band C are the centres of the circles.If the perimeter of
3 answers
asked by
Jeannie
528 views
John has some sweets to give to his friends. If he gives 4 sweets to his friends, he will need 2 more sweets. If he gives 7
2 answers
asked by
Lynn
472 views
If A and B are two friends and sold tickets for Rs. 3800. If A sold 11/8 times as that by B, how much did each of them sell.
1 answer
asked by
Neelam
330 views
a and b are consecutive, positive integers such that (a+b)*(a-b)>22. What is the minimum possible value of a+b?
1 answer
asked by
Anonymous
294 views
Consider all 3-term geometric sequences with first term 1 and with common ratio the square of an integer between 1 and 1000. How
6 answers
asked by
ianian
589 views
Please I need help.Iam stuck with this question.Using sine and cosine rule: A rocket launced vertically from L is observed from
2 answers
asked by
Shane
934 views
An aircraft which is maintaining a constant altitude of 1000 metre is travelling directly away from an observer. At a particular
1 answer
asked by
Shane
393 views
Find the area of the triangle with sides 8.6 cm, 9.1cm and 9.7cm. First find the size of one of the angles.
1 answer
asked by
Shane
329 views
Correct each of the following incorrect statements:
1)The inverse of the function defined by y= 5/x +1 is defined by y= 5/x - 1.
1 answer
asked by
Zinhle
457 views
write down the domain and the range of the following:
1)g(x)=-(x-1)^2 + 3 2)f(x)=1/x+2 - 5
1 answer
asked by
Zinhle
278 views
A and B are two balloons at the same height and 1000 metre apart. O is a ground observation position. Angle AOX is 45 degree 15'
1 answer
asked by
Shane
349 views
An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a
1 answer
asked by
MAths lover Please Helppppp
767 views
We are given that log102<0.302. How many digits are there in the decimal representation of 5^500?
1 answer
asked by
MAths lover Please Helppppp
263 views
We are given that log10 2<0.302. How many digits are there in the decimal representation of 5^500?
1 answer
asked by
MAths lover Please Helppppp
302 views
AB is a 12 metre flagpole on top of a building. Given angle QPB=56 degree 37' and angle QPA=43 degree 19',find the distance of
1 answer
asked by
Shane
404 views
What is the sum of all possible real values of x that satisfies the equation 25[x(log5 x)]=x^3.
1 answer
asked by
ianian
403 views
Estimate the following questions
(A) 4013 divided by 22 (B) 182x18 divided by 0.46 (C) 382x43 divided by 0.24 WITH WORKINGS
1 answer
asked by
Estimate 4013 divided by 22
440 views
There are 4 students in a class. A teacher wants them to each secretly choose a partner for a group project. If everyone
1 answer
asked by
Maths lover Please Help...
463 views
G is a circle with chord AB. P is a point outside of G such that PA is tangent to G and ?BPA=90°. If AB=48 and PB=8, what is
1 answer
asked by
Maths lover Please Help...
954 views
An equilateral triangle with side length 33 is divided into 33^2 smaller unit equilateral triangles each with side 1, forming a
3 answers
asked by
Maths lover Please Help...
546 views
1) Simplification (trigonometric ratios of allied angles)?
Simplify : i) [cos^2 (2x180-A). tan^2 (180+A). sec^2 (180-A)] / [
2 answers
asked by
Roy
823 views
A+B+B=35.
B+B+c=25. A+B+B+B+c=55 What is the value of B?
1 answer
asked by
Help
239 views
168 children went to a them park. If 1/3 of the girls is equal to 4/9 of the boys, how many boys went to the theme park?
1 answer
asked by
Alex
383 views
Please help me.Iam stuck. Find all the possible values of theta between 0 degree and 360 degree for the following quadratic
1 answer
asked by
Shane
382 views
Please help me.Iam stuck. Find all the possible values of theta between 0 degree and 360 degree for the following quadratic
1 answer
asked by
Shane
406 views
The number 1000 can be written in several ways as a sum of one or more consecutive positive integers, for instance, 1000=1000
2 answers
asked by
HELP!!
958 views
Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x3−ax2+a2b3x+9a2b2 has
4 answers
asked by
HELP!!
486 views
How many 3 digit numbers can be formed from the integers1,2,3,4,5 if digits can be repeated?
1 answer
asked by
Tangcy
290 views
Find the sum to infinity of the geometric series n=1 ,3/10n =3/10+3/1000+....................
1 answer
asked by
Zanele
396 views
Find the amount when princple is 29200,rate is 6%.time is 4 year and 3 months?
1 answer
asked by
Aman singh
421 views
The second term in the expansion of (1-x)(1+2x)Λn is 19x. Find the value of n
2 answers
asked by
Natasha
747 views
Thanks Mr Reiny
1 answer
asked by
Gibbs
257 views
If sin 23=p,write the following in terms of p cos 113,cos 23,tan 23
3 answers
asked by
Dineo
1,122 views
Two angles of triangle are pie/6 and 2pie/3 radians. What is the measure of the third angle in degrees?
2 answers
asked by
Lisha
885 views
For a set of numbers T, we say that T has distinct subset sums if all distinct subsets of T have distinct sums. How many subsets
1 answer
asked by
Mathslover
433 views
Find the area of the sectors in a circle of radius 10cm where the angles at the centre are; 60 degrees
3 answers
asked by
Lisha
486 views
Find the largest possible value of n, such that there exists n real numbers x1,...,xn which satisfy |xi−xj|>1/100(1+xixj) for
1 answer
asked by
Sambaran G.
870 views
Vincenzo makes a sandwich using four kinds of Italian lunch meat: Genoa, prosciutto, Calabrese and capicola and two kinds of
2 answers
asked by
Sambaran G.
513 views
ABCD is a parallelogram with side lengths AB=15,BC=10 and ∠ADC=75∘. A point P in the interior of the parallelogram is chosen
1 answer
asked by
Anonymous
389 views
Lim (10x - cosx + 1)/(sinx + x)
(x->0)
5 answers
asked by
Lamblia
390 views
f(x)=x*3 - 9x*2 + 15x + 2
find function maximum
1 answer
asked by
Lamblia
362 views
f(x) = x*3 - 6x*2 + 9x - 1
find max meaning of function on [0; 2] segment
1 answer
asked by
Lamblia
260 views
Find the largest possible value of n, such that there exists n real numbers x1,...,xn which satisfy |xi−xj|>1/100(1+xixj) for
2 answers
asked by
Pandey ji
489 views
How many rational numbers in the interval (0,1) , when expressed in lowest terms, have denominators less than or equal to 10
1 answer
asked by
Tony
327 views
a, b, c, A and C are real numbers that satisfy the equation
(ax^2+bx+c)^2=Ax^4+16x^3+28x^2+24x+C How many possible ordered
1 answer
asked by
Sambit
416 views
The roots of the polynomial f(x)=7x^2 +38x+c=0 are reciprocals of each other. What is the value of c ?
1 answer
asked by
Tony
332 views
A and B are real numbers such that the two quadratic equations 19x^2+3x+2=0 and Ax^2+Bx+7=0 have a common root. What is the
3 answers
asked by
Tony
347 views
A locker combination has four nonzero digits. If no digit can be repeated and the first three digits are 1-2-3, what is the
7 answers
asked by
bubbie
1,822 views
f(x)is a function differentiable at x=1 and f'(1)=1/8.
what is the value of f(x)-f(1) f'(x) denotes the derivative of f(x)
1 answer
asked by
Andy
338 views
Given circle Γ and a point P outside of Γ, 2 lines l1 and l2 are drawn such that both pass through P. l1 intersects Γ at A
1 answer
asked by
Sambit
405 views
The line passing through the points (-1,6) and (4,x) has gradient -2. Find the value of x. Show working out please.
1 answer
asked by
Yasmine
338 views
Miles has 4 Lego people in his Lego town. A Lego person consists of exactly 1 set of legs, a torso, and a head. All of these
4 answers
asked by
Someone need help~
464 views
Let A0=(−1,0), and let O be the origin (0,0). For each integer i≥1, we construct the point Ai so that |Ai−1Ai|=|Ai−1O|
1 answer
asked by
Someone need help~
323 views
Let S be a set of 31 equally spaced points on a circle centered at O, and consider a uniformly random pair of distinct points A
1 answer
asked by
Someone need help~
408 views
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