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Question 1174146: The following are equivalent in boolean algebra
a + b = b
a * b = a
Prove the equivalence of 1 and 2
Click here to see answer by Alan3354(69443)

Question 1174157: Mary uses a secret code to write messages. First she translates each letter of the alphabet into a number based on its position in the alphabet, so that A = 1, B = 2, C = 3, and so on. Then she multiplies this number by her favorite number and adds her mother's favorite number. Using her secret code, F becomes 41 and T becomes 83.
Find what number M becomes.
What are Mary's favorite number and her mother's favorite number?
Click here to see answer by htmentor(1343)

Question 1174263: I= (square root) a/p - 1
A/P is the only thing under the square root ****
Solve for P
Click here to see answer by ewatrrr(24785)

Question 1174283: In one day Jan received 13 packages. Fed Exp delivered three times as many as UPS, while UPS delivered two more than Pony Exp. How many packages did each service deliver to Jan?
Click here to see answer by greenestamps(13198)

Question 1174322: The hypotenuse of a right triangle measures 13 cm. One leg of the triangle measures 12 cm. Find the length of the other leg of the triangle.
Click here to see answer by Alan3354(69443)

Question 1174320: Round to the nearest hundredth.
The two legs of a right triangle measure 6 in. and 2 in. Find the length of the hypotenuse.
Click here to see answer by Alan3354(69443)

Question 1174320: Round to the nearest hundredth.
The two legs of a right triangle measure 6 in. and 2 in. Find the length of the hypotenuse.
Click here to see answer by ewatrrr(24785)

Question 1174316: The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 8 cm. Find the length of the other leg of the triangle.
Click here to see answer by ewatrrr(24785)

Question 1174321: The diagonal of a rectangle is a line drawn from one vertex to the opposite vertex. 5 mi and 10 mi
Find the length of the diagonal in the rectangle. Round to the nearest tenth.
Click here to see answer by ewatrrr(24785)

Question 1174319: A stone is dropped into a mine shaft and hits the bottom 4.25 s later. How deep is the mine shaft? The equation for the distance an object falls in T seconds is T =sqrt(d/16), where d is the distance in feet.
Click here to see answer by ikleyn(52776)

Question 1174317: A formula used in the study of shallow-water wave motion is C=sqrt(32H),
where C is the wave velocity in feet per second and H is the depth in feet. Use this formula to find the depth of the water when the wave velocity is 20 ft/s.
Click here to see answer by ikleyn(52776)

Question 1174347: Hello! I need some help with this equation.
Solve y = 2x^2 + 1 when x = -2.
I got y= -7, but am unsure if it is the correct answer. Any assistance would be greatly appreciated!
Click here to see answer by math_tutor2020(3816)

Question 1174357: Solve y = 2x2 + 1 when x = -1.
I got y = -1, but I am second guessing myself! If you can help I will be very grateful.
Click here to see answer by ikleyn(52776)

Question 1174413: -3x -5y =6 y=-3

Click here to see answer by ikleyn(52776)

Question 1174500: Solve the following limit:
lim x→4
(x^2 − 4x/ x^ 2 − 16)
Click here to see answer by math_tutor2020(3816)

Question 1174511: The sum of three numbers is 7. One of the numbers is one more than the sum of the other two numbers. It is also four times the difference between the other two numbers. What is the smallest of the three numbers?

Click here to see answer by josgarithmetic(39616)

Question 1174586: Make a the subject of the formula in s=n\2[2a+(n-1)d]

Click here to see answer by Boreal(15235)

Question 1174640: You are in the band room when a shipment of new trumpets and trombones arrives. Your music teacher asks you to make sure the order is right. All the boxes are about the same size, so you find the number of boxes in the shipment. There are 27 total boxes. The bill shows the school paid $10,950. In the catalog, the price of a new trumpet is $350 and the price of a new trombone is $475. 1. Write an equation representing the total number of instruments. 2. Write an equation representing the total cost. 3. Using your equations from Exercises 1 and 2, write and solve the linear system. 4. Choose a different method from the method you used in Exercise 3 to check your results. 5. How many trumpets did your school receive? How many trombones?
This is what I have so far,
x+y=24
and
350x+475y=10,950
I keep trying the combination method and I keep getting y=20.4 but when I plug it back into the original question I get 1.17647058824. Can you please help me on what I'm doing wrong.
Click here to see answer by greenestamps(13198)

Question 1174790: The weekly videotape rentals at a video store vary directly with their advertising budget and inversely with the daily rental price. When their advertising budget is $400 and the rental price is $2 per day, they rent 4600 tapes per week. How many tapes would they rent per week if they increased their advertising budget to $500 and raised their rental price to $2.50?
Click here to see answer by Boreal(15235)

Question 1174789: The weekly videotape rentals at a video store vary directly with their advertising budget and inversely with the daily rental price. When their advertising budget is $400 and the rental price is $2 per day, they rent 4600 tapes per week. How many tapes would they rent per week if they increased their advertising budget to $500 and raised their rental price to $2.50?
Click here to see answer by josgarithmetic(39616)

Question 1174874: The numbers 320 and 452 have remainders 14 and 10 when divided the same number.
The part i am confused here is how we start the equation. Do we Start by putting it into an algebraaic equation?
Click here to see answer by greenestamps(13198)

Question 1174896: Write an equation given the following: m = 3, y-int = -1
Click here to see answer by ikleyn(52776)

Question 1174906: Use these equations and list them from least to greatest. 65,000,000; 6.2x10^6; 3.557x10^7; 55,004,000; 6.07x10^6
Click here to see answer by josgarithmetic(39616)

Question 1174906: Use these equations and list them from least to greatest. 65,000,000; 6.2x10^6; 3.557x10^7; 55,004,000; 6.07x10^6
Click here to see answer by ikleyn(52776)

Question 1174966: Please help me solve this equation
the sum of two consecutive odd number is 32 and their product is 225. what are the two numbers?
Click here to see answer by ikleyn(52776)

Question 1174977: please help me solve this equation
Two positive integers differ by 6. their product is 616 find the integers
Click here to see answer by ikleyn(52776)

Question 1174989: 1. Given sinB=5/13 in QII and (6,-8) is on the terminal side of a ,find the exact value of sin (a+B).
Click here to see answer by math_tutor2020(3816)

Question 1175060: Among 200 patients at a Tikur Anbessa hospital. 40 of them are cardiac patients, 100 of them are cancer, patients and 60 of them are diabetic patients. The hospital wants to give free medical services to some patients.
♦A) What is the probability that 5 cardiac and 10 cancer patients are given free medical treatment?
B) What is the probability that 2 cardiac, 5 cancer patients, and 4 diabetic patients are given free medical treatment?
Click here to see answer by ikleyn(52776)

Question 1175191: solution the length of a rectangle is twice its width. if the perimeter is 24 cm, calculate its area. ni new concept mathematics for jss2
Click here to see answer by josgarithmetic(39616)

Question 1175193: Among 200 patients at a Tikur Anbessa hospital. 40 of them are cardiac patients,
100 of them are cancer, patients and 60 of them are diabetic patients. The hospital
wants to give free medical service for some patients.
A) What is the probability that 5 cardiac and 10 cancer patients are given free
medical treatment?
B) What is the probability that 2 cardiac, 5 cancer patients and 4 diabetic patients
are given free medical treatment?

Click here to see answer by ikleyn(52776)

Question 1175239: Find an equation for a line satisfying the following conditions.
Parallel to y=4 and passing through (-3/-4, 2/5)
Click here to see answer by ewatrrr(24785)

Question 1175258: write an equation of the circle with the given center and radius:
1. center (1, -4), radius = 5
2. center (-3, -3), radius = 2
3. center (0, 0), radius = 34

Click here to see answer by ewatrrr(24785)

Question 1175270: Not sure if I chose the right topic for this question. But this is a college algebra class I am taking right now.

Find g(-4) and f(g(-4)).
f(x)= x2 - x + 5
g(x)= 2x - 4

g(-4) = ?
f(g(-4)) = ?
Click here to see answer by ewatrrr(24785)

Question 1175293: I have a hard time with math word problems. Can someone please solve this for me and provide step-by-step?

Let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers.
Three times a first number decreased by a second number is 15. The first number increased by twice the second number is 12.

x= __ ?
y= __ ?
Click here to see answer by ewatrrr(24785)

Question 1175297: Find g(2) and f(g(2)).
(x)= x2-x+2
g(x) = 4x-1
g(2)= ?
f(g(2))= ?

Click here to see answer by ewatrrr(24785)

Question 1175304: Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)
Click here to see answer by josgarithmetic(39616)

Question 1175305: If a person's systolic pressure is 125.59 mm Hg, what is their age (rounded to the nearest single year)?

Click here to see answer by ikleyn(52776)

Question 1175431: 1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57

Click here to see answer by ewatrrr(24785)

Question 1175431: 1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57

Click here to see answer by greenestamps(13198)

Question 1175431: 1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57

Click here to see answer by Alan3354(69443)

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, 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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, 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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, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580