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Question 1135721: Find the four numbers in A.P. whose sum is 50 and in which the greatest number is 4 times the least.
Click here to see answer by ikleyn(52747)

Question 1135721: Find the four numbers in A.P. whose sum is 50 and in which the greatest number is 4 times the least.
Click here to see answer by greenestamps(13195)

Question 1135719: Out of the 95 travellers interviewed, 7 travelled by bus and train only, 3
by train and car only and 8 travelled by all three means of transport. The
number, x, of travellers who travelled by bus only equal to the number who
travelled by bus and car only. If 47 people travelled by bus and 30 by
train.
(i) represent this information in a Venn diagram;
(ii) calculate the
I. value of x;
II. number who travelled by at least two means.
Click here to see answer by josmiceli(19441)

Question 1135805: Jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book?
Click here to see answer by ikleyn(52747)

Question 1135901: integers whose squares are less than 200 but greater than 40

Click here to see answer by Boreal(15235)

Question 1135901: integers whose squares are less than 200 but greater than 40

Click here to see answer by greenestamps(13195)

Question 1135942: what is the smallest positive integer of k such that the equation sqrt(x - 127) + sqrt(k - x) = 13 has at least one real solution for x?
Click here to see answer by Edwin McCravy(20054)

Question 1135967: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)
Click here to see answer by Edwin McCravy(20054)

Question 1135968: A rectangular grid whose side lengths are integers greater than 1 is given. Smaller rectangles with area equal to an odd integer and length of each side equal to an integer greater than 1 are cut out one by one. Finally one single unit is left. Find the least possible area of the grid before the cuttings.
Click here to see answer by ikleyn(52747)

Question 1136024: I repair crew needs to mark off the area of the sidewalk they are working on the end of using 26 yards of netting to create a rectangular work zone around the repair side if the work zone is 4 yards wide how long is the work site
Click here to see answer by josgarithmetic(39613)

Question 1136162: The probability that a man and his wife will be alive in 20 years time are 0.6 and 0.7 respectively. What is the probability that one of them will not be alive in 20 years time.
Click here to see answer by VFBundy(438)

Question 1136155: A cup of beans cost ₦8, how much would a similar tin, three times the height and diameter, full of beans cost.
Click here to see answer by VFBundy(438)

Question 1136174: If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers
Click here to see answer by ikleyn(52747)

Question 1136156: A trophy of height 30cm and its copies of height 7.5cm, can holds 100ml. What is the capacity of the trophy.
Click here to see answer by ikleyn(52747)

Question 1136231: Prove that (sin³A + cos³A)/(sinA + cosA) + (sin³A - cos³A)/(sinA - cosA) = 2
Click here to see answer by MathLover1(20849)

Question 1136245: Expand and simplify
(6 - 5x)(7 - y)(3x + 2xy)
Click here to see answer by Alan3354(69443)

Question 1136285: In the formula t/(ry - 3) = r/y, what is y in terms of r and t.
Click here to see answer by josgarithmetic(39613)

Question 1136284: Given that 3x + 2y = 5a + b and 4x - 3y = a + 7b, solve for x in terms of a and b.
Click here to see answer by ikleyn(52747)

Question 1136287: Prove that
tanA/(1 - cotA) + cotA/(1 - tanA) = (secAcosecA + 1)

Click here to see answer by MathLover1(20849)

Question 1136301: An arithmetic series has the following properties
(i) the sum of the fourth and ninth terms is 58.
(ii) the sum of the first 26 terms is 390.
(a) Find the first term and the common difference.
(b) Find the smallest integer value of n for which the sum to n terms of the series is negative.
Click here to see answer by greenestamps(13195)

Question 1136299: For the geometric series:
v1 + v2 + v3 + ... + vn
it is known that:
v3 - v2 = 5 and v4 - v3 = 6
Prove that the common ratio is 6/5 and find the first term. Hence find the sum of the first 4 terms of the series.
Click here to see answer by greenestamps(13195)

Question 1136370: calculate the missing length of the right triangle. Solve for C using Pythagorean theorem. 8in 6in
Click here to see answer by ikleyn(52747)

Question 1136370: calculate the missing length of the right triangle. Solve for C using Pythagorean theorem. 8in 6in
Click here to see answer by Alan3354(69443)

Question 1136303: An arithmetic series has the following properties
(i) the sum of the fourth and ninth terms is 58.
(ii) the sum of the first 26 terms is 390.
(a) Find the first term and the common difference.
(b) Find the smallest integer value of n for which the sum to n terms of the series is negative.
Click here to see answer by rk2019(3)

Question 1136411: √(x² + 21) - 2 = x + 1
Click here to see answer by josmiceli(19441)

Question 1136448:
Click here to see answer by ikleyn(52747)

Question 1136491: If d is the H.C.F of 45 and 27, find x, y satisfying d = 45x + 27y
Click here to see answer by ikleyn(52747)

Question 1136424: An engineer invests some money at 5% and $3000 more than twice as much at 8%. The total annual income from the investments is $1710. Find the amount invested at 5%. Use elimination method.
Click here to see answer by greenestamps(13195)

Question 1136573: Recursive equations can be very handy for modeling complicated situations for which explicit equations would be hard to interpret. As an example, consider a lake in which 2000 fish currently reside. The fish population grows by 10% each year, but every year 100 fish are harvested from the lake by people fishing.
a. Write a recursive equation for the number of fish in the lake after n years.
b. Calculate the population after 1 and 2 years. Does the population appear to be increasing or decreasing?
c. What is the maximum number of fish that could be harvested each year without causing the fish population to decrease in the long run?
Click here to see answer by ikleyn(52747)

Question 1136565: OPQR is a quadrilateral. A, B, C and D are the midpoints of OP, PQ, QR and RO, respectively. If OP = p, OR = q and OQ = r,
a)Express in terms of p, q and r (i) RQ (ii) CD (iii) OC and (iv) DA.
b)Show that ABCD is a parallelogram.

Click here to see answer by ikleyn(52747)

Question 1136656: Your city council has decided to build a cone shaped reservoir. The plan that was given to the building contractor indicated that the top diameter of the reservoir must be 50m. The depth of the reservoir is indicated at 30m
Click here to see answer by ikleyn(52747)

Question 1136785: (x + 3)^(1/3) = (x - 1)^(1/2), find the value of x.
Click here to see answer by rothauserc(4718)

Question 1136785: (x + 3)^(1/3) = (x - 1)^(1/2), find the value of x.
Click here to see answer by Alan3354(69443)

Question 1136824: Sam is 1.5m tall when took a snap shot of him, if the scale factor of the picture is 1:10, what is his height in the photograph?
Click here to see answer by josgarithmetic(39613)

Question 1136874:
Click here to see answer by rothauserc(4718)

Question 1136874:
Click here to see answer by ikleyn(52747)

Question 1136963: Applications of Polynomial Multiplication or Division:
1.Find a polynomial that represents the area of the triangle pictured.
The triangle has a height of 4x inch and the base 3x-2 inches
The area is___ in^2 or inches to the power of 2

Click here to see answer by josgarithmetic(39613)

Question 1136957: An example in Chemistry is Avogadro’s number, which tells how many atoms, or molecules make up one mole of a substance. (A mole is just a unit of measurement like a gallon). Write this number in standard form to see why Scientific Notation is preferred in this case.

The standard form is
Click here to see answer by josgarithmetic(39613)

Question 1136959: The moon is about 240,000 miles from Earth.
a) Write this number in scientific notation.
b) If a rocket traveled at 4×10^4
miles per hour, how long would it take for it to reach the moon? Use scientific notation and exponents rules to find the answer.
It would take ____ hours.
Click here to see answer by josgarithmetic(39613)

Question 1136964: Applications of Polynomial Multiplication or Division
The trowel shown is in the shape of an isosceles triangle.Find the polynomial that represents its height if the area of the trowel is represented by the polynomial 6+18t+t^2+3t^3 square inches. (6+18t+t to the power of 2+ 3t to the power of 3)
The height is blank but the base is t^2+6 that what the picture shows. (t to the power of 2 + 6)
The height is ____ in.

Click here to see answer by josgarithmetic(39613)

Question 1136965: Applications of Polynomial Multiplication or Division:

Find a polynomial that represents the volume of a cubicle shaped prisim with length of y+1, width of 2y,and height of y−1 meters.
The volume is ___ m^3. (or m to the power of 3)

Click here to see answer by josgarithmetic(39613)

Question 1136981: Applications of Polynomial Multiplication or Division
The trowel shown is in the shape of an isosceles triangle.Find the polynomial that represents its height if the area of the trowel is represented by the polynomial 6+18t+t^2+3t^3 square inches.
The height is blank but the base is t^2+6 that what the picture shows.
The height is ____ in.
Click here to see answer by MathLover1(20849)

Question 1136960: Given the following polynomial fill in the requested information:3x^2y-2xy+x-1
List each of the following as they appear in the polynomial:
a) Term:___,____,_____,_____
b) Coefficient:____,____,_____,____
c) Degree of each term:___,____,_____,_____
d) Degree of the polynomial:____
Click here to see answer by Edwin McCravy(20054)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650