Questions on test answered by real tutors!

Tutors Answer Your Questions about test (FREE)

Question 205644: plz help me find this answer.
A car travels a 750 km journey at an average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by ankor@dixie-net.com(15647)

Question 205642: A plan of a shopping complex is drawn to a scale of 1 cm to 5 m. Express the scale of the plan in the form 1: n . Find the perimeter and area of a rectangular shop space which measures 2.4cm by 4cm on the plan.
Click here to see answer by Alan3354(30993)

Question 205696: There is a cross section of a clear spherical container with some fruit juice in it. The radius of the sphere is 18cm and the perpendicular distance from the centre of the sphere to the surface of the fruit juice is 9cm, calculate the diameter of the surface of the fruit juice in the sphere.
Click here to see answer by RAY100(1637)

Question 205691: Do you know how to factor out this equation (s + q)^2 - 64 =?

Click here to see answer by RAY100(1637)

Question 205697: After spending 5/8 of her money on marketing a lady has $ 10.50 left. How much had she at first?
Click here to see answer by rfer(12657)

Question 205692: A manufacturer sells to a wholesaler at a profit of 20%, the wholesale price to a shopkeeper is at profit of 10% and the shopkeeper retails his goods at a profit of 12.5%. Find
i) The wholesale price of goods which cost the manufacturer $90.
ii) The cost to the manufacturer for goods sold in the shop for $1485.

Click here to see answer by rfer(12657)

Question 205688: John, Bala and Hamid shared a sum of money in the ratio 2 : 3 : 11.
i) If Bala received $ 2.50 more than John, how much is the sum of money?
ii) Hamid gave $5 to John. Find the ratio of Johns share to Bala’s share.

Click here to see answer by stanbon(57290)

Question 205684: A car travels a 750 km journey at average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by RAY100(1637)

Question 205870: The equation of the line L is 3y - x=9. Find
a) The coordinates of the point where l intersects the y- axis.
b) The equation of the line which is parallel to l and which passes through the point (0, -5)

Click here to see answer by Alan3354(30993)

Question 205869: A straight line L passes though the point (0, -1) and is parallel to the straight line y=3x+1.
i. Write down the equation of the straight line L.
ii. Given that L passes through the point (2,b) find the value of b.

Click here to see answer by Alan3354(30993)

Question 205871: A car travels a 750 km journey at average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by RAY100(1637)

Question 205868: PQRS is a trapezium where PQ // SR. Given that PQR = SPR= 90˚, PQ = 8.5cm and PR = 12.3 cm. Calculate (a) QR (b) PS (c) The area of the trapezium PQRS.
Click here to see answer by Edwin McCravy(8904)

Question 205892: A cyclist travels 80km from Paris to Louvre at an average speed of x km/h. Find the time taken in term of x. On his return journey from Louvre to Paris, he decreases his average speed by 3km/h. Find the time taken on the return journey in terms of x. If the difference between the times is one hour 20 minutes, find the value of x.
Click here to see answer by Alan3354(30993)

Question 205893: PQRS is a trapezium where PQ // SR. Given that PQR = SPR= 90˚, PQ = 8.5cm and PR = 12.3 cm. Calculate (a) QR (b) PS (c) The area of the trapezium PQRS.

Click here to see answer by Edwin McCravy(8904)

Question 205973: Given that 4x/5 – 1/10 ≤ x –2/5, state the smallest value of x when:
i) x is an integer
ii) x is a prime number
iii) x is a rational number

Click here to see answer by RAY100(1637)

Question 205971: A cyclist travels 80km from Paris to Louvre at an average speed of x km/h. Find the time taken in term of x. On his return journey from Louvre to Paris, he decreases his average speed by 3km/h. Find the time taken on the return journey in terms of x. If the difference between the times is one hour 20 minutes, find the value of x.
Click here to see answer by ankor@dixie-net.com(15647)

Question 205972: Make x the subject of the following:
y = 2 - x² / 2x² + 3
y = √2x- 3y (the sign before 2x is of square root)
1/a + 1/√x = y

Click here to see answer by stanbon(57290)

Question 206033: Make x the subject of the following:
y = 2 - x² / 2x² + 3
y = √2x- 3y (the sign before 2x is of square root)
1/a + 1/√x = y

Click here to see answer by Alan3354(30993)

Question 206321: Please me me with this word problem!
Joe walked to the edge of the jungle in 3 hours. He ran back to camp in 1 hour. How far away was the edge of the jumgle if Joe ran 8 miles per hour faster than he walked? Thank you! : )
Click here to see answer by ankor@dixie-net.com(15647)

Question 204562: Hi there, I have an exam today and I was doing a practise exam where I came across this Polynomial and rational functions question and was unable to solve it. Could one of the tutors please help me with it, I'd be more than grateful!!!!
Find the remainder:(x^4 - 2x^2 + 5 - 2)/(x - 3). (2 marks)
Click here to see answer by mickclns(59)

Question 207010: A car gets 30 miles to the gallon of gas on the highway and 20 miles to the gallon for local driving. In the first week of October, the car was driven 180 miles on the highway, if the car's average gas mileage for that week was 26 miles to the gallon how many miles of local driving was the car used for that week?
Click here to see answer by checkley77(12569)

Question 207112: Please help me out with the answer to the word problem :)
joe has 105 books left in his store. if he originally had 300 books, what percent of the original number of books remain?
Thank you!
Click here to see answer by Theo(3458)

Question 207167: Hi i have a question how do you solve 4n+5=6n+7 ?? When i did it on the simpiflyer i still got it wrong
Click here to see answer by Theo(3458)

Question 207395: what's the limit:
lim f(x) as x approaches 2 from the right
Click here to see answer by solver91311(16877)

Question 205699: The equation of the line L is 3y - x=9. Find
a) The coordinates of the point where l intersects the y- axis.
b) The equation of the line which is parallel to l and which passes through the point (0, -5)

Click here to see answer by tutor_paul(490)

Question 207751: really struggling on this
use composite rule to differentiate the function
f(x)=exp (2/3 sin x)
Click here to see answer by stanbon(57290)

Question 207751: really struggling on this
use composite rule to differentiate the function
f(x)=exp (2/3 sin x)
Click here to see answer by Alan3354(30993)

Question 207703: okay i have one question that i'm not sure how to set up.
1. The lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimeter is less that 54 cm.
Click here to see answer by rfer(12657)

Question 207778: alexi throws a pebble into a unused well. the distance D,the pebble falls after t seconds is given by the equation d=16tsquared + 56T, where d is measured in feet. if the water in the well is 240 feet below ground level,how many secconds will it take for the pebble to hit the water?
Click here to see answer by stanbon(57290)

Question 207798: Please help me with this problem:
Write and solve an equation to find the value of x.
4.8, 1.6, 5.2, x; mean 3.7
Thanks!
Click here to see answer by vleith(2825)

Question 207825: A plane leaves the airport heading east at an airspeed of 250 miles per hour, then turns back and returns at an airspeed of 220 miles per hour. If the plane can stay in the air 9 hours, how far can it travel?
Click here to see answer by Alan3354(30993)

Question 207952: Please solve this formula for the given variable.
P=F/A
Solve for A. Then, Solve for F.
Thanks!
Click here to see answer by checkley77(12569)

Question 208075: The width of a rectangle is one-half of the length. The perimeter of the rectangle is 90. What are the dimensions of the rectangle?
Click here to see answer by checkley77(12569)

Question 207964: Please solve this formula for the given variable.
b+3/e=f/2
solve for e
Please show your work.
Thanks!
Click here to see answer by checkley77(12569)

Question 208744: (4a^3b^3)(4ab^2)^2
Click here to see answer by RAY100(1637)

Question 208806: Find the distance between the two points.

M(1,-3),N(3,5)

thank you
Click here to see answer by Alan3354(30993)

Question 209180: Suppose M is between L and N. Use the segment addition postulate to solve for this variable. Then find the lengths of LM MN and LN

LM 7y+9

MN= 3y+4

LN = 143

thank you
Click here to see answer by nyc_function(2733)

Question 208814: Use the distance formulas to decide whether line JKL approximately equals line KL.

J (3,-5)

K (-1,2)

L (-5,-5)

thank you
Click here to see answer by Alan3354(30993)

Question 209883: A living room is 20 ft by 21 ft. What is its perimeter?
Click here to see answer by solver91311(16877)

Question 210331: Well it's about physics. The topic is ENERGY. Can you please help me answer this problem?
A 15 kg child sits in a swing that is attached to ropes 1.6 m long. Find the potential energy of the child relative to his lowest position when the ropes (a) are horizontal, (b) are vertical, and (c) make 30 degrees with the horizontal.
Thank you very much..
Click here to see answer by scott8148(6628)

Question 210422: if 18 is subtracted from six times a certain number, the result is 96. Find the number.
Click here to see answer by tutor_paul(490)

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