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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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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 9 1 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-2 1 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-5 1 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 book 1 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 power 1 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 answer 1 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 5 1 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 you 1 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 much 1 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)) thanks 1 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) thanks 1 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)) thanks 1 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 answer 1 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