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Question 428185: 1. If s is directly proportional to t, and s = 40 when t = 15, find t when s =
64.
t = 0.025 t = 24
t = 170.67 t = 40
2. If a varies directly as b, and a = 75 when b = 40, find a when b = 12.
a = 6.4 a = 0.4
a = 22.5 a = 2.25
3. If y is directly proportional to the square root of x, and y = 25 when x = 3,
find x when y = 100.
x = 3Ö 3 x = 48
x = 100 x = 12
4. If w varies directly as 2x - 1, and w = 9 when x = 2, find x when w = 15.
x = 2 x = 36
x = 5 x = 3
5. If a, b, and c are positive, and a divided by b is equal to b divided by c,
then b is called the mean proportion, or geometric mean, between a and c. Find
the mean proportion between the pair of numbers: 3 and 27.
b = 9 b = 81
b = 27 b = 18
6. If a, b, and c are positive, and a divided by b is equal to b divided by c,
then b is called the mean proportion, or geometric mean, between a and c. Find
the mean proportion between the pair of numbers: 5 and 15.
5Ö 3 b = 3
b = 75 3Ö 5
7. The acceleration of an object varies directly as the force acting on it. If a
force of 240 newtons causes an acceleration of 150 m/s², what force will cause
an acceleration of 100 m/s2?
160 newtons 16 newtons
62.5 newtons 62 newtons
8. At the grocery mart, a 575g can of green beans cost $0.39. How much will an
810 g can of green beans cost?
$0.52 $0.50
$0.55 $0.53
9. A public opinion poll found that out of a sample of 450 voters, 252 favored a
school bond issue. If 20,000 people voted, how many are likely to vote for the
bond measure?
15,714 11,200
1,120 10,100
10. The speed of an object falling from rest in a vacuum is directly
proportional to the time it has fallen. After an object has fallen for 1.5
seconds, its speed is 14.7 m/s. What is the speed after it has fallen 5 seconds?
20 m/s 51 m/s
49 m/s 50 m/s
11. Newton's law of cooling states that the rate at which an object cools varies
directly as the difference between its temperature and the temperature of the
surrounding air. At the moment a steel plate at 270 degrees Celsius is placed in
air that is at 20 degrees Celsius, its rate of cooling is 50 degrees Celsius per
minute. How fast is it cooling when the plate temperature is 100 degrees
Celsius?
24 degrees C/min 16 degrees C/min
14 degrees C/min 20 degrees C/min
Click here to see answer by richard1234(5390)

Question 428439: X+32=5x-12 what is x
Click here to see answer by rfer(12646)

Question 428435: What's are the steps to deriving a quadratic formula, and can you explain how you did each step?
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Question 428382: What is 5 over 12 plus 1 2 over 7
Click here to see answer by rfer(12646)

Question 428421: Why is it important to understand the rules for multiplying and dividing terms with exponents when multiplying rational expressions? Demonstrate why with an example.
need to be 3 lines long and at least 75 words.

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Question 428497: 100=5(2x+9) what is x
Click here to see answer by maykim14(1)

Question 428497: 100=5(2x+9) what is x
Click here to see answer by shree840(260)

Question 428503: 4(3x-8)=2x+21 what is x
Click here to see answer by algebrahouse.com(1079)

Question 428539: solve for each system
3x-4y=-6
-5x+3y=-1
Click here to see answer by mananth(12270)

Question 428529: find the distance between the points (12,8) and (4,2)
1. 100 units
2. 14 units
3. 10 units
4. -10 units
Find the midpoint of the points (3,1) and (7,-5)
1. (1,6)
2. (2,1)
3. (2,-3)
4. (5, -2)

Click here to see answer by mananth(12270)

Question 428624: (1 + cos theta)(1 - cos theta) is that like a difference of squares? So how is it simplified?
Click here to see answer by stanbon(57224)

Question 428624: (1 + cos theta)(1 - cos theta) is that like a difference of squares? So how is it simplified?
Click here to see answer by Theo(3458)

Question 428624: (1 + cos theta)(1 - cos theta) is that like a difference of squares? So how is it simplified?
Click here to see answer by solver91311(16868)

Question 428622: How to simplify: tan^2 theta/sin^2 theta...do I plug in the sin/cos for tan and csc for sin? Help! Thanks.
Click here to see answer by stanbon(57224)

Question 428622: How to simplify: tan^2 theta/sin^2 theta...do I plug in the sin/cos for tan and csc for sin? Help! Thanks.
Click here to see answer by solver91311(16868)

Question 428642: Solve system of equations by graphing.
x+y=4
y-x=4
Click here to see answer by solver91311(16868)

Question 428642: Solve system of equations by graphing.
x+y=4
y-x=4
Click here to see answer by ewatrrr(10682)

Question 428721: Solve the following system of equations by graphing.
x + 2y = 8
x + 2y = -4
What is the solution?
Click here to see answer by richard1234(5390)

Question 428723: Can you explain the basis of Algebra to me.If you would please.thankyou
Click here to see answer by richard1234(5390)

Question 428738: What are the Trig identities and reciprical identities that need to be known to simplify and prove Trig identities? I know the basics like csc=1/sin, sec is 1/cos and tan is 1/cot.
Click here to see answer by stanbon(57224)

Question 428833: Solve system of equations by graphing
2x-y=4
4x-2y=8
Click here to see answer by stanbon(57224)

Question 428850: is their any tutor available to help me in algebra2 its an assessment!!!
Click here to see answer by John10(245)

Question 428832: Solve system if equations by graphing.
3x-2y=-3
-3x-y=-6
Click here to see answer by Gogonati(809)

Question 428909: please help me with these 3 questions i'm confused need this asap..! THANKS
GIVEN: Triangle ABC...AC=5,CB=a,AB=10 and Angle C= 115 degrees...
QUESTIOS:
1. Find the value of side a, rounding to the nearest tenth.
A. 5.9
B. 6.2
C. 6.8
D. 7.1

2. Find the value of angle B, rounding to the nearest tenth of a degree.
A. 26.9°
B. 29.2°
C. 33.4°
D. 38.1°

3. Find the value of angle A, rounding to the nearest tenth of a degree.
A 26.9°
B. 29.2°
C. 33.4°
D. 38.1°

Click here to see answer by solver91311(16868)

Question 428907: please help me with these..!!
GIVEN: Triangle ABC...BC=11...CA=13...BA=15
1. Find the value of angle A, rounding to the nearest tenth of a degree.
A. 45.6°
B. 52.6°
C. 57.6°
D. 63.6°

2. Find the value of angle B, rounding to the nearest tenth of a degree.
A. 45.6°
B. 52.6°
C. 57.6°
D. 63.6°
Click here to see answer by solver91311(16868)

Question 428906: GIVEN: Triangle ABC..AB=c..AC=b...BC=20...Angle A = 120 degrees.. Angle B= 40 degrees

1. Find the value of side b, rounding to the nearest tenth.
A. 6.5
B. 7.9
C. 14.8
D. 15.3

2. Find the value of side c, rounding to the nearest tenth.
A. 6.5
B. 7.9
C. 14.8
D. 15.3
Click here to see answer by solver91311(16868)

Question 428827: Caleb is observing what happens when a negative number is squared. He concludes that the square of any negative number is positive. What type of reasoning is Caleb using?
Click here to see answer by robertb(4012)

Question 428902: How is cos theta csc theta simplified to cot theta? Please explain thanks!
Click here to see answer by richard1234(5390)

Question 428967: you need to rent a moving truck for a day. You have identified two companies that rent trucks. company a charges $50 per day plus$0.15 per mile. company B charges $45 per day plus $0.25 per mile. For how many miles will the cost of renting be the same?
Click here to see answer by jorel1380(2518)

Question 428908: What is tan^2 theta/sin^2 theta?
Click here to see answer by robertb(4012)

Question 429090: Okay. So my name is glen and I need help with stating the excluded values and simplifying rational expressions, like this one; 60x^3/12x
Click here to see answer by ewatrrr(10682)

Question 429098: Please help by showing steps for 12x2+20x=0
Click here to see answer by jorel1380(2518)

Question 429134: How do you solve z^2-5z-6=0 using the quadratic formula?
Click here to see answer by ewatrrr(10682)

Question 429180: 2 5/2 - 2 3/2=
Click here to see answer by ewatrrr(10682)

Question 429273: 8 times a number,x,decreased by y
Click here to see answer by rfer(12646)

Question 429452: (2x^2+y^2)^2
Click here to see answer by IWork4Dessert(60)

Question 429402: solve system of equations by graphing. Show work.
x+y=4
y-x=4
Click here to see answer by edjones(7569)

Question 429590: What I the answer to 3y-5y+10=36
Click here to see answer by Gogonati(809)

Question 429590: What I the answer to 3y-5y+10=36
Click here to see answer by Alan3354(30968)

Question 429627: Solve system of equations by graphing.
3x-2y=-3
-3x-y=-6
Click here to see answer by ewatrrr(10682)

Question 429781: How can I solve this equation: 4x-2=3y-1 ?
Click here to see answer by josmiceli(9652)

Question 429781: How can I solve this equation: 4x-2=3y-1 ?
Click here to see answer by mananth(12270)

Question 429819: 27.3=3/4 why
Click here to see answer by Alan3354(30968)

Question 429835: Hi the problem is N over three -15 equals 25
Click here to see answer by rfer(12646)

Question 429841: I need help in solving this problem, I tried it out but it isnt giving me the right answer, please write down the step by step and what equation i should use. Thank you :)
Bacteria X has a relative growth rate of 180 % (under ideal conditions). Some bacteria X are accidentally introduced into some twirly macaroni salad. Three hours after contamination, there were 20,000 bacteria X in the twirly macaroni salad.
Find the initial number of bacteria X introduced into the twirly macaroni salad:

Click here to see answer by jorel1380(2518)

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