Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399, >>Next

Coordinate-system/130447: how would i graph y=3x and y=x-4? 1 solutions Answer 95284 by checkley71(8403)   on 2008-03-04 19:32:59 (Show Source): You can put this solution on YOUR website! Y=3X (RED LINE) Y=X-4 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x and x-4). ------------------------------------------------------------- SOLUTION=(-2,-6)

Quadratic_Equations/130454: Can someone assist me? Thank You Find and label the vertex f(x)=(x+3)^2 1 solutions Answer 95283 by checkley71(8403)   on 2008-03-04 19:29:02 (Show Source): You can put this solution on YOUR website! F(X)=(X+3)^2 F(X)=X^2+6X+9 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 +6x +9) THE VERTEX =(-3,0).

Quadratic_Equations/130455: Can someone assist me. Thank You f(x)=x^2-2x-6 1 solutions Answer 95282 by checkley71(8403)   on 2008-03-04 19:25:19 (Show Source): You can put this solution on YOUR website! F(X)=X^2-2X-6 IF YOU NEED TO SOLVE THIS EQUATION YOU NEED TO USES THE QUADRATIC EQUATION: ANSWERS=3.6 & -1.6 --------------------------------------------------------------------- NORMALLY THERE ARE VALUES OF X GIVEN AND YOU'RE ASKED TO SOLVE THIS EQUATION. GIVEN A VALUE FOR X JUST REPLACE X BY THE NUMBER AND SOLVE THE EQUATION.

Equations/130449: This question is from textbook (3,2) Y=3X+4 1 solutions Answer 95280 by checkley71(8403)   on 2008-03-04 19:19:47 (Show Source): You can put this solution on YOUR website! Y=3X+4 (RED LINE) IF THESE POINTS (3,2) ARE ON A PARALLEL LINE THEN: 2=3*3+b 2=9+b b=2-9 b=-7 Y INTERCEPT. Y=3X-7 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10,of TWO functions 3x +4 and 3x -7).

Percentage-and-ratio-word-problems/130450: Five eighths of the 4960 voters supported Mayor Rios. answer:3100 a.) How many voters did not support Mayor Rios? answer: 1860 b.) What was the ratio of voters who supported the mayor to those who did not support the mayor? answer: I keep getting 155/93, but it's incorrect. Can you tell me what I am doing wrong? Thank you! Megan 1 solutions Answer 95276 by checkley71(8403)   on 2008-03-04 19:11:51 (Show Source): You can put this solution on YOUR website! REDUCING YOUR FRACTION BY DIVIDING EACH TERM BY 31 YOU GET 5/3. 5/8:3/8=40/24=5/3 IS THE RATION OF VOTERS FOR MAYOR RIOS TO THOSE WHO DID NOT VOTE FOR HIM.

Linear_Algebra/130441: if -6(2x+1)=-4x+10, then x = 1 solutions Answer 95268 by checkley71(8403)   on 2008-03-04 18:20:04 (Show Source): You can put this solution on YOUR website! -6(2X+1)=-4X+10 -12X-6=-4X+10 -12X+4X=10+6 -8X=16 X=16/-8 X=-2 ANSWER.

Probability-and-statistics/130429: This question is from textbook Statistics A 35 year old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life toable for the U.S. government, the probablity that she will survive the year is is 0.999057. Find the expected value of the policy for the insurance company. 1 solutions Answer 95265 by checkley71(8403)   on 2008-03-04 18:07:23 (Show Source): You can put this solution on YOUR website! 1-.999057=.000943*100,000=$94.3 DOLLARS IS THE EXPECTED PAYOUT FOR EACH OF THE INSURED IN A GIVEN YEAR. THUS THEIR PROFIT IS $360-$94.3=$265.7 FOR THE FIRST YEAR.

Miscellaneous_Word_Problems/130436: The owner of a go cart track was counting the money from one days ticket sales He knew that a total of 168 tickets were sold. Adult tickets cost 7.50 each and childrens tickets cost 4.75 each. The total receipts for the day was 996.00 how many of each type of ticket was sold. 1 solutions Answer 95264 by checkley71(8403)   on 2008-03-04 17:54:57 (Show Source): You can put this solution on YOUR website! A+C=168 OR A=168-C 7.50A+4.75C=996 7.50(168-C)+4.75C=996 1260-7.5C+4.75C=996 -2.75C=996-1260 -2.75C=-264 C=-264/-2.75 C=96 THE NUMBER OF CHILDREN'S TICKETS SOLD. 168-96=72 ADULT TICKETS SOLD. PROOF: 7.50*72+4.75*96=996 540+456=996 996=996

Probability-and-statistics/130388: The daily double at most race tracks consists of selecting the winning horse in both the first and second races. If the first race has 8 entries and the second race has 9 entries, how many daily double tickets must be purchased to guarantee a win? 1 solutions Answer 95263 by checkley71(8403)   on 2008-03-04 17:47:42 (Show Source): You can put this solution on YOUR website! 8*9=72 DAILY DOUBLE TICKETS ARE REQUIRED.

Percentage-and-ratio-word-problems/130431: The school production of "Our town" was a big success. For opening night, 323 tickets were sold. Students paid $2.50 each while non students paid $4.50 each. If a total of $1009.50 was collected, how many students and how many non students attended? 1 solutions Answer 95262 by checkley71(8403)   on 2008-03-04 17:43:56 (Show Source): You can put this solution on YOUR website! S+NS=323 OR S=323-NS 2.50S+4.50NS=1009.50 2.50(323-NS)+4.50NS=1009.50 807.5-2.50NS+4.50NS=1009.50 2NS=1009.50-807.50 2NS=202 NS=202/2 NS=101 NUMBER OF NON STUDENT TICKETS SOLD. 323-101=222 STUDENT TICKETS SOLD. PROOF: 2.50*222+4.50*101=1009.50 555+454.5=1009.5 1009.5=1009.5

Pythagorean-theorem/130433: what is a=9, b=?,c=41 1 solutions Answer 95261 by checkley71(8403)   on 2008-03-04 17:33:27 (Show Source): You can put this solution on YOUR website! 9^2+B^2=41^2 81+B^2=1681 B^2=1681-81 B^2=1600 B=SQRT1600 B=40 ANSWER.

Probability-and-statistics/130387: Two dice are rolled. Find the indicated probability. What is the probability that the sum is even if the first die is 4? 1 solutions Answer 95258 by checkley71(8403)   on 2008-03-04 17:12:05 (Show Source): You can put this solution on YOUR website! 4+2=6 EVEN 4+4=8 EVEN 4+6=10 EVEN ANSWER IS 3/6=.5 OR 50%

Mixture_Word_Problems/130391: I have a world problem, not sure if I came up with the right answer. Could I have some help on this, thanks. The good seed flower shop sells its own brand of fertilizer. It mixes one brand of fertilizer that contains 7% nitrogen with another that contains 8% nitrogen. The resulting mixture contains 7.7% nitrogen. How many pounds of the 8% fertilizer must be used to make 200 pounds of the 7.7% mixture? I have 98.6 Could you let me know if it is correct. Thank you, I appreciate the help. 1 solutions Answer 95257 by checkley71(8403)   on 2008-03-04 17:09:12 (Show Source): You can put this solution on YOUR website! .08X+.07(200-X)=.077*200 .08X+14-.07X=15.4 .01X=15.4-14 .01X=1.4 X=1.4/.01 X=140 POUNDS OF 8% FERTILIZER IS NEEDED. 200-140=60 POUNDS OF 7% IS NEEDED. PROOF: .08*140+.07*60=.077*200 11.2+4.2=15.4 15.4=15.4

percentage/130395: Last month a factory produced 800 television sets. This month, The same factory produced 1,064 television sets. The increase in production from last month to this month is? 1 solutions Answer 95256 by checkley71(8403)   on 2008-03-04 17:02:54 (Show Source): You can put this solution on YOUR website! 1064/800=1.33 OR A 33% INCREASE IN PRODUCTION.

Linear_Algebra/130396: if -6(2x+1)=-4x+10, then x = 1 solutions Answer 95255 by checkley71(8403)   on 2008-03-04 17:01:06 (Show Source): You can put this solution on YOUR website! -6(2X+1)=-4X+10 -12X-6=-4X+10 -12X+4X=10+6 -8X=16 X=16/-8 X=-2 ANSWER. PROOF: -6(2*-2+1)=-4*-2+10 -6(-4+1)=8+10 -6*-3=18 18=18

Geometry_Word_Problems/130399: This question is from textbook a problem solving approach to mathmatics for elementary school teachers a tank contains 15,360 L of water. At the end of each day, half of the water is removed and not replaced. How much water is left in the tank after 10 days? The answer is 15 L, but I don't know why the answer is 15 L I have tried several different ways to work this out, and can't figure it out. Can you show me how this is worked out? 1 solutions Answer 95253 by checkley71(8403)   on 2008-03-04 16:55:38 (Show Source): You can put this solution on YOUR website! 15,360(1-.5)^10 15,360(.5)^10 15,360*.000976562=15 ANSWER.

Numeric_Fractions/130421: 1/4n=2and 2/3 1 solutions Answer 95249 by checkley71(8403)   on 2008-03-04 16:35:25 (Show Source): You can put this solution on YOUR website! N/4=2 2/3 N/4=(2*3+2)/3 N/4=(6+2)/3 N/4=8/3 NOW CROSS MULTIPLY 3N=32 N=32/3 ANSWER.

Linear-equations/130403: how do you find the area of a parallelogram? how do you find the area of a triangle? 1 solutions Answer 95248 by checkley71(8403)   on 2008-03-04 16:32:53 (Show Source): You can put this solution on YOUR website! AREA OF A PARALLELOGRAM=BASE*HEIGHT. AREA OF A TRIANGLE=(BASE*HEIGHT)/2.

Numbers_Word_Problems/130404: A mystery number less then 20 has factors. Three of its factors are consecutive odd number. What is the number? 1 solutions Answer 95247 by checkley71(8403)   on 2008-03-04 16:30:50 (Show Source): You can put this solution on YOUR website! 1*3*5=15 WHICH HAS THREE CONSECUTIVE ODD FACTORS.

Age_Word_Problems/130419: natasha is 5 years older than juan.The sum of their ages is 27. how old are natasha and juan? 1 solutions Answer 95245 by checkley71(8403)   on 2008-03-04 16:27:20 (Show Source): You can put this solution on YOUR website! N=J+5 N+J=27 (J+5)+J=27 2J+5=27 2J=27-5 2J=22 J=22/2 J=11 IS THE AGE OF JUAN N=11+5=16 IS THE AGE OF NATASHA PROOF 11+16=27 27=27

Linear_Algebra/130415: I am having problems with this problem: Find f(1) for f(x)= x^3 + x^2 - 1 1 solutions Answer 95243 by checkley71(8403)   on 2008-03-04 16:24:37 (Show Source): You can put this solution on YOUR website! HERE YOU NEED TO REPLACE X WITH THE VALUE (1) AND SOLVE THE EQUATION. F(X)=X^3+X^2-1 F(1)=1^3+1^2-1 F(1)=1+1-1 F(1)=1 ANSWER.

Linear_Algebra/130416: I am stumped with the following problem: A function gives the value of "c" as 2 x (22/7) x r. Find "c" when r=14 cm and r=70 cm. Please help if able. 1 solutions Answer 95242 by checkley71(8403)   on 2008-03-04 16:21:01 (Show Source): You can put this solution on YOUR website! THIS IS THE CIRCUMFERENCE FORMULA. C=2*PI*R WHERE PI=3.14 OR 22/7 C=2(22/7)R C=44/7*14 C=748/7 C=106.857 IS THE ANSWER.

Linear-equations/130405: Given the line with equation 6x+5y=3 What is the slope of this line? 1 solutions Answer 95241 by checkley71(8403)   on 2008-03-04 16:16:34 (Show Source): You can put this solution on YOUR website! 6X+5Y=3 5Y=-6X+3 Y=-6X/5+3/5 THUS THE SLOPE=-6/5.

Mixture_Word_Problems/130412: four pencils and 2 pens cost $2.26. six pencils and five pens cost $5.17. find the cost of the pencil. find the cost of the pen 1 solutions Answer 95239 by checkley71(8403)   on 2008-03-04 16:04:09 (Show Source): You can put this solution on YOUR website! 4X+2Y=2.26 6X+5Y=5.17 NOW MULTIPLY THE FIRST EQUATON BY -3 & THE SECOND EQUATIOB BY 2 & ADD. -12X-6Y=-6.78 12X+10Y=10.34 ---------------------------------- 4Y=3.56 Y=3.56/4 Y=.89 COST OF 1 PEN. 4X+2*.89=2.26 4X+1.78=2.26 4X=2.26-1.78 4X=.48 X=.48/4 X=.12 COST OF 1 PENCIL. PROOF: 6*.12 +5*.89=5.17 .72+4.45=5.17 5.17=5.17

Coordinate-system/130378: This question is from textbook algebra Hi! How are you all Today? So I am having a bit of trouble with this question. The problem is: Find the slope of a line between the points (5,3) and (-2,-3). pLease and Thank You=) 1 solutions Answer 95213 by checkley71(8403)   on 2008-03-04 11:03:56 (Show Source): You can put this solution on YOUR website! slope=(y2-y1)/(x2-x1)=(-3-3)/(-2-5)=-6/-7=6/7 is the slope. 3=5*6/7+b 3=30/7+b b=3-30/7 b=(21-30)/7 b=-9/7 the y intercept. thus this line equation is: Y=6X/7-9/7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 6x/7 -9/7).

Linear-equations/130376: This question is from textbook Mcdougal Littell ALGEBRA 1 4x-y-7=0 1 solutions Answer 95211 by checkley71(8403)   on 2008-03-04 10:58:30 (Show Source): You can put this solution on YOUR website! 4X-Y-7=0 -Y=-4X+7 Y=4X-7 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -7).

Miscellaneous_Word_Problems/130342: Roberto invested some money at 7%, and then invested $2,000 more than twice his amount at 11%. His total annual income from the two investemnts was $3,990. How much was invested at 11%. 1 solutions Answer 95209 by checkley71(8403)   on 2008-03-04 10:55:22 (Show Source): You can put this solution on YOUR website! .07X+.11(2X+2000)=3990 .07X+.22X+220=3990 .29X=3990-220 .29X=3770 X=3770/.29 X=13,000 INVESTED @ 7%. 2*13000+2000=26000+2000=28,000 IS THE AMOUNT INVESTED @ 11%. PROOF: .07*13000+.11*28000=3990 910+3080=3990 3990=3990

Rectangles/130363: This question is not in a book. The width of a rectangle is 14 feet less than twice the length. What is the length if the perimeter is 62 feet? 1 solutions Answer 95208 by checkley71(8403)   on 2008-03-04 10:48:14 (Show Source): You can put this solution on YOUR website! W=2L-14 2(2L-14)+2L=62 4L-28+2L=62 6L=62+28 6L=90 L=90/6 L=15 IS THE LENGTH W=2*15-14 W=30-14 W=16 IS THE WIDTH. PROOF: 2*15+2*16=62 30+32=62 62=62

Linear_Algebra/130364: simplify: (3x - 5)(2x+7) thanks 1 solutions Answer 95207 by checkley71(8403)   on 2008-03-04 10:43:17 (Show Source): You can put this solution on YOUR website! (3x-5)(2x+7) 6x^2-10x+21x+35 6x^2+11x+35

Surface-area/130308: what is the total surface area of a rectangular room 6 meters by 7 meters by 4 meters high? ignore doorways and windows 1 solutions Answer 95174 by checkley71(8403)   on 2008-03-03 20:37:00 (Show Source): You can put this solution on YOUR website! 6*7*4=168 m^3 answer.

Polynomials-and-rational-expressions/130294: Please help me with this problem I am not sure how to solve it. I tried it and can't get it. Please help me. Solve the following problem involving applications of polynomials. Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers. 1 solutions Answer 95171 by checkley71(8403)   on 2008-03-03 20:18:57 (Show Source): You can put this solution on YOUR website! X, X+2, X+4 ARE THE 3 CONSECUTIVE EVEN INTEGERS. (X+4)^2=(X+2)^2+76 X^2+8X+16=X^2+4X+4+76 8X-4X=80-16 4X=64 X=64/4 X=16 ANSWER FOR THE SMALLER INTEGER. 16+2=18 THE MIDDLE INTEGER. 16+4=20 THE LARGEST INTEGER. 20^2=18^2+76 400=324+76 400=400