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# Recent problems solved by 'checkley77'

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 Triangles/331030: in the right triangle, the ratio of the measures of the two acute angles is 4:1. what is the measure in degrees, of the larger acute angle?1 solutions Answer 237326 by checkley77(12569)   on 2010-08-11 19:58:36 (Show Source): You can put this solution on YOUR website!4N+1N=5N 5N=90 N=90/5 N=18 DEGREES. 4N=4*18=72 DEGREES ANS. PROOF 18+72+90=180 180=180
 Polynomials-and-rational-expressions/331032: How do i factor 4x squared minus 91 solutions Answer 237323 by checkley77(12569)   on 2010-08-11 19:53:01 (Show Source): You can put this solution on YOUR website!4x^2-9 Take the square root of the 2 terms & separate them with a + & a - sign. (2x+3)(2x-3) ans.
 Rational-functions/331038: if i have the problem -3xsquared+5 how do i solve this equation?I mean how do i ever start the problem?1 solutions Answer 237320 by checkley77(12569)   on 2010-08-11 19:49:38 (Show Source): You can put this solution on YOUR website!-3x^2+5 If this is a line. Then: y=-3x+5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x +5). ---------------------------------------------------------------- IF this is: -3x+5=0. Then: -3x=-5 x=-5/-3 x=5/3 or 1.667 ans.
 Geometry_Word_Problems/331040: A sphere of radius 2 ft is dropped into a rectangular tank that is 10 ft long and 8 ft wide. To the nearest tenth, how much does this raised the level of water in the tank?1 solutions Answer 237315 by checkley77(12569)   on 2010-08-11 19:44:02 (Show Source): You can put this solution on YOUR website!V=4/3PIR^3 V=4/3*3.14*2^3 V=4/3*3.14*8 V=4/3*25.12 V=100.48/3 V=33.49 FT^3 10*8=80 FT^2 IS THE SURFACE AREA OF THE TANK. 33.49/80=.42 FT. OR 5 INCHES IS THE RISE IN WATER LEVEL (ASSUMING THE SPHERE SINKS BELOW THE SURFACE..
 Number-Line/331041: find the slope of y=5x-21 solutions Answer 237313 by checkley77(12569)   on 2010-08-11 19:34:56 (Show Source): You can put this solution on YOUR website!Y=mX+b This is the line formula where m=slope & b=the Y intercept. y=5x-2 slope=5 ans.
 Money_Word_Problems/330537: An investor has 300,000 to invest. If part is invested at 5% and the rest at 9% how much should be invested at 5% to yield 8% on the total amount?1 solutions Answer 237045 by checkley77(12569)   on 2010-08-10 16:34:05 (Show Source): You can put this solution on YOUR website!.09X+.05(300,000-X)=.08*300,000 .09X+15,000,000-.05X=24,000 .04X=24,000-15,000 .04X=9,000 X=9,000/.04 X=\$225,000 AMOUNT INVESTED @ 9%. 300,000-225,000=\$75,000 AMOUNT INVESTED @ 5%.
 Average/330545: 1 solutions Answer 237043 by checkley77(12569)   on 2010-08-10 16:26:48 (Show Source): You can put this solution on YOUR website!WHERE'S THE PROBLEM?
 Exponential-and-logarithmic-functions/330549: At a town with a large convention center, the cost of a hotel room has increased 5.1% annually. If the average hotel room cost \$48.00 in 1980 and this growth continues, what will an average hotel room cost in 2012? Use y= a(1 + r)^t and round to the nearest cent.1 solutions Answer 237042 by checkley77(12569)   on 2010-08-10 16:25:18 (Show Source): You can put this solution on YOUR website!32=48(1+.051)^32 32=48(1.051)^32 32=48*4.9123=\$235.79 cost of a hotel room in 2012
 test/330555: Please help me solve the following. Solve -15<4x-2<1 The solution is {x|___ Thanks a bunch. :o)1 solutions Answer 237032 by checkley77(12569)   on 2010-08-10 16:10:47 (Show Source): You can put this solution on YOUR website!-15<4x-2<1 add 2. -15+2<4x<1+2 combine digits. -13<4x<3 divide by 4. -13/4
 Rational-functions/330566: How can I make it easier for myself to understand steps to solving rational equations like this one... x-5/x-8 = x-1/x-51 solutions Answer 237030 by checkley77(12569)   on 2010-08-10 16:05:50 (Show Source): You can put this solution on YOUR website!(x-5)/(x-8)=(x-1)/(x-5) if this is what you mean THEN: Cross multiply. (x-8)(x-1)=(x-5)(x-5) x^2-9x+8=x^2-10x+25 cancel out thw x^2 terms & combine like terms. -9x+10x=25-8 x=17 ans. Proof: (17-5)/(17-8)=(17-1)/(17-5) 12/9=16/12 9*16=12*12 144=144
 test/330579: Hypatia could row 90 miles downstream in 6 hours but required 8 hours to row 72 miles upstream. What was her speed in still water and what was the speed of the current?1 solutions Answer 237025 by checkley77(12569)   on 2010-08-10 15:54:48 (Show Source): You can put this solution on YOUR website!D=RT 90=R*6 R=90/6 R=15 MPH. 72=R*8 R=72/8 R=9 MPH. (15+9)/2=24/2=12 MPH. IS THE RATE OF BOAT IN STILL WATER. (15-9)/2=6/2=3 MPH. IS THE RATE OF THE STREAM. PROOF: 90=(12+3)*6 90=15*6 90=90 72=(12-3)*8 72=9*8 72=72
 Percentage-and-ratio-word-problems/330591: a bookstore has a 40% markup. if the selling price of the book is \$42, find the price that the book store pays for the book1 solutions Answer 237014 by checkley77(12569)   on 2010-08-10 15:43:45 (Show Source): You can put this solution on YOUR website!1.4X=42 X=42/1.4 X=\$30 IS THE PRICE THE STORE PAID FOR THE BOOK.
 Travel_Word_Problems/330593: james drives 5 miles per hour slower than ken. If James travels 100 miles in the same time that ken travels 110 miles, find each rate. solution?1 solutions Answer 237010 by checkley77(12569)   on 2010-08-10 15:38:47 (Show Source): You can put this solution on YOUR website!D=RT 100=(R-5)T OR T=100/(R-5) FOR JAMES 110=RT OR T=110/R FOR KEN SET THESE 2 EQUATIONS EQUAL & SOLVE FOR R. 100/(R-5)=110/R CROSS MULTIPLY, 110(R-5)=100R 110R-550=100R 100R-100R=550 10R=550 R=550/10 R=55 MPH FOR KEN. 55-5=50 MPH IS THE RATE FOR JAMES. 110=55*T T=110/55 T=2 HOURS. PROOF: 100=50*2 100=100
 Pythagorean-theorem/330602: A 14 meter ladder is leaning against a building. The bottom of the ladder is 7 meters from the building. How high is the top of the ladder?1 solutions Answer 237003 by checkley77(12569)   on 2010-08-10 15:30:31 (Show Source): You can put this solution on YOUR website!7^2+x^2=14^2 49+x^2=196 x^2=196-49 x^2=147 x=sqrt147 x=12.124 meters is the height of the ladder against the wall.
 Pythagorean-theorem/330604: A regulation soccer field is 50 yd wide and 100 yd long. Find the length of the diagonal of the field.1 solutions Answer 236999 by checkley77(12569)   on 2010-08-10 15:26:18 (Show Source): You can put this solution on YOUR website!50^2+100^2=c^2 2,500+10,000=c^2 12,500=c^2 c=sqrt12,500 c=111.8 yds. ans, for the length of the diagonal.
 Miscellaneous_Word_Problems/330607: A company has a fixed cost of \$2300 when it is producing. Each item that it makes has its own cost of \$50. How much will it cost the company to produce 2500 of these items?1 solutions Answer 236995 by checkley77(12569)   on 2010-08-10 15:22:26 (Show Source): You can put this solution on YOUR website!2,300+50*2,500=2,300+125,000=\$127,300 total cost.
 Volume/330611: Find the volume of water in a fish tank that is 6 m long 4.5 m wide, and 71 cm deep. The volume is ? m3 1 solutions Answer 236994 by checkley77(12569)   on 2010-08-10 15:17:18 (Show Source): You can put this solution on YOUR website!6*4.5*.71=19.17 m^3 ans.
 Exponential-and-logarithmic-functions/330024: 4.5 times 10 to the 7th power times 3.2 times 10 to the 5th power1 solutions Answer 236479 by checkley77(12569)   on 2010-08-08 20:14:04 (Show Source): You can put this solution on YOUR website!4.5*10^7*3.2*10^5 45,000,000*320,000 1.44*10^13
 Triangles/329950: does the measurements 7 inches, 8 inches, and 13 inches for a triange?1 solutions Answer 236477 by checkley77(12569)   on 2010-08-08 20:09:37 (Show Source): You can put this solution on YOUR website!YES. The longest side must be less than the sum of the 2 shorter sides for any triangle. 13 is less than 7+8=15.
 percentage/329979: The first quarter earnings was 25% and the second quarter earning was at 15%. If the earnings in the second quarter were \$117,000, what were the earnings for the first quarter? 1 solutions Answer 236476 by checkley77(12569)   on 2010-08-08 20:02:36 (Show Source): You can put this solution on YOUR website!.15/117,000=.25/x cross multiply. .15x=.25*117,000 .15x=29,250 x=29,250/.15 x=\$195,000 is the 25% quarterly earnings.
 Rectangles/330003: Ricardo wants to replace the wooden door on his flat. The wooden door will be shaped like a rectangular solid and will measure 76 2/3 inches long and 44 1/4 inches wide; and will be 1 3/8 inch thick. How many cubic inches of wood will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer1 solutions Answer 236474 by checkley77(12569)   on 2010-08-08 19:55:49 (Show Source): You can put this solution on YOUR website!(76 2/3)(44 1/4)(1 3/8) (228+2)/3*(176+1)/4*(8+3)/8 230/3*177/4*11/8 230*177*11/3*4*8 447,810/96 74,635/16 4664 11/16 ans.
 Numeric_Fractions/330004: solve 2x+4 when x is 51 solutions Answer 236468 by checkley77(12569)   on 2010-08-08 19:19:11 (Show Source): You can put this solution on YOUR website!2x+4 when x is 5 2*5+4=10+4=14 ans.
 percentage/329937: what is the product of 45 1 solutions Answer 236467 by checkley77(12569)   on 2010-08-08 19:17:20 (Show Source): You can put this solution on YOUR website!Incomplete information.
 Exponential-and-logarithmic-functions/329933: Please help me factor this completely: x^12-y^24 thank you1 solutions Answer 236466 by checkley77(12569)   on 2010-08-08 19:08:40 (Show Source): You can put this solution on YOUR website!x^12-y^24 (x^6+y^12)(x^6-y^12) (x^6+y^12)(x^3+y^6)(x^3-y^6) ans.
 Exponential-and-logarithmic-functions/329939: Please help me factor this completely: b^2-y^2-2yp-p^2 thanks u very much1 solutions Answer 236465 by checkley77(12569)   on 2010-08-08 19:02:00 (Show Source): You can put this solution on YOUR website!b^2-y^2-2yp-p^2 (b+y)(b-y)-p(2y+p) ans.
 Expressions-with-variables/329940: Solve 4-x+3=75 The solution is x = ___________ (simplify your answer. Type an integer or a decimal. Round to four decimal places as needed) 1 solutions Answer 236464 by checkley77(12569)   on 2010-08-08 18:59:01 (Show Source): You can put this solution on YOUR website!4-x+3=75 -x=75-4-3 -x=68 x=-68 ans.
 Functions/329944: Please help me find the value of each in the space provided, showing all steps. Given: f(x)=3x-7 G(x)=x^2+3 task 3: Find f(f(x)) thanks1 solutions Answer 236463 by checkley77(12569)   on 2010-08-08 18:55:57 (Show Source): You can put this solution on YOUR website!Find f(g(2)) f(x)=3x-7 g(x)=x^2+3 g(2)=2^2+3=4+3=7 f(g(2)=f(7) f(7)=3*7-7=21-7=14 ans.
 Functions/329945: Please help me find the value of each in the space provided, showing all steps. Given: f(x)=3x-7 G(x)=x^2+3 task 4: Find G(x+2)-g(x) thanks1 solutions Answer 236461 by checkley77(12569)   on 2010-08-08 18:55:17 (Show Source): You can put this solution on YOUR website!Find f(g(2)) f(x)=3x-7 g(x)=x^2+3 g(2)=2^2+3=4+3=7 f(g(2)=f(7) f(7)=3*7-7=21-7=14 ans.
 Functions/329946: Please help me find the value of each in the space provided, showing all steps. Given: f(x)=3x-7 G(x)=x^2+3 task 5: Find f(g(2)) thanks1 solutions Answer 236458 by checkley77(12569)   on 2010-08-08 18:46:29 (Show Source): You can put this solution on YOUR website!Find f(g(2)) f(x)=3x-7 g(x)=x^2+3 g(2)=2^2+3=4+3=7 f(g(2)=f(7) f(7)=3*7-7=21-7=14 ans.
 Expressions-with-variables/329947: (-a^3)(2b^2)^3 i need help on getting this answer1 solutions Answer 236453 by checkley77(12569)   on 2010-08-08 18:14:35 (Show Source): You can put this solution on YOUR website!(-a^3)(2b^2)^3 (-a^3)(8b^6) -8a^3b^6 ans.
 Graphs/329953: The perimeter of a rectangle is 56inches. The length exceeds the width by 24 inches. Find the length and the width.1 solutions Answer 236452 by checkley77(12569)   on 2010-08-08 18:09:00 (Show Source): You can put this solution on YOUR website!L=W+24 P=2L+2W 56=2(W+24)+2W 56=2W+48+2W 56=4W+48 4W=56-48 4W=8 W=8/4 W=2 ANS. FOR THE WIDTH. L=2+24=26 ANS. FOR THE LENGTH. PROOF: 56=2*26+2*2 56=52+4 56=56