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Recent problems solved by 'jojo14344'

jojo14344 answered: 1512 problems
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Functions/156201: let (f) represent the number of feet. which algebraic expression represents the number of inches in (f)
1 solutions

Answer 115402 by jojo14344(1512) on 2008-09-12 15:44:19 (Show Source):

You can put this solution on YOUR website!
Let

= # of inches
Being

represents no. of feet. Then
i%2F12=f

--------> no. of inches in feet
thank you,
Jojo

Proportions/156410: how could you solve this question:
a rock climber burns 60 calories for every 5 minutes of rock climbing.
write a proportion on the lines below to determine how many calories a rock climber would burn in 7 minutes.

thanks if you answer this but can you try to get it answered by the morning of september 12,2008 thanks
1 solutions

Answer 115203 by jojo14344(1512) on 2008-09-11 16:04:53 (Show Source):

You can put this solution on YOUR website!
60calories%2F5minutes

cross%2860%2912calories%2Fcross%285%291minute

, he can burn 12 calories in 1 minute.
In 7 minutes let's see:
%2812calories%2Fcross%28minute%29%29%287cross%28minutes%29%29=84calories

amount he'll burn in 7 minutes
Thank you,
Jojo

Travel_Word_Problems/156279: One car travels 60mph and another one travels 45mph. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 50 miles ahead of the slower car?
1 solutions

Answer 115114 by jojo14344(1512) on 2008-09-11 00:16:10 (Show Source):

You can put this solution on YOUR website!
Let
Car%5B1%5D=C%5B1%5D=60miles%2Fhour

-----------------> faster car
Car%5B2%5D=C%5B2%5D=45miles%2Fhour

---------------------> slower car
Remember the situation, that C%5B1%5D

is ahead of 50miles

at a certain highlight%28TIME%29

that we're looking for. Putting that into equation, we need to add 50miles%2Ftime

to cover the gap of C%5B1%5D

C%5B1%5D=C%5B2%5D%2B%2850miles%2Ftime%29

60%28mi%2Fhr%29=45%28mi%2Fhr%29%2B%2850mi%2Ftime%29

60%28mi%2Fhr%29-45%28mi%2Fhr%29=50%28mi%2Ftime%29

, cross multiply
15%28mi%29%28time%29=50%28mi%29%28hr%29

, divide both side by 15 to solve "time":

---> time=3 hours & 20mins
After highlight%283hours%29

and

will be 50 miles ahead of C%5B2%5D

. In doubt? Let' see:
DISTANCE OF C%5B1%5D

AFTER 3 hours & 20 minutes:
60%28miles%2Fcross%28hr%29%29%2A%283.3333333cross%28hours%29%29=200+miles

DISTANCE OF C%5B2%5D

AFTER 3 hours & 20 minutes:
45%28miles%2Fcross%28hr%29%29%2A%283.3333333cross%28hours%29%29=150miles

Thank you,
Jojo

Parallelograms/156296: How do you find the area of a parallelogram?
1 solutions

Answer 115113 by jojo14344(1512) on 2008-09-10 23:46:12 (Show Source):

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Get the Height

that is perpendicular to the base

and multiplied by the base= _____ sq units Area%5Bp%5D

In getting the Height

you can resort to Pyth. Theorem since that perpendicular line to the base

will form a Right

triangle.
Thank you,
Jojo

Finance/156314: 9x-9=5
1 solutions

Answer 115112 by jojo14344(1512) on 2008-09-10 23:39:03 (Show Source):

You can put this solution on YOUR website!
9x-9=5

Thank you,
Jojo

Exponents/156317: 6(6)divided by (2 times 9)
1 solutions

Answer 115111 by jojo14344(1512) on 2008-09-10 23:35:55 (Show Source):

You can put this solution on YOUR website!
%286%2A6%29%2F%282%2A9%29

------->

Thank you,
Jojo

Expressions-with-variables/156226: the minimum wage set in 1997 was $5.15 per hour.evaluate the expression 40h where h=$5.15 to find a worker's weekly salary.
1 solutions

Answer 115093 by jojo14344(1512) on 2008-09-10 20:32:12 (Show Source):

You can put this solution on YOUR website!
If you work 40Hours

per week at a wage of $5.15/hour:
%2840cross%28hours%29%2Fweek%29%285.15%2Fcross%28hour%29%29

$206/week
Thank you,
Jojo

Unit_Conversion_Word_Problems/156256: how many cubed centimeters are in 1.00 mililiters?
1 solutions

Answer 115090 by jojo14344(1512) on 2008-09-10 20:26:35 (Show Source):

You can put this solution on YOUR website!
Remember:
1cm%5E3=1milliliter

Thank you,
Jojo

Polynomials-and-rational-expressions/156215: (20+12)/(4+4)
1 solutions

Answer 115081 by jojo14344(1512) on 2008-09-10 17:43:56 (Show Source):

You can put this solution on YOUR website!
(20+12)/(4+4)
= 32%2F8

Thank you,
Jojo

Numbers_Word_Problems/156070: Torry took 6 tests, she had an average 97. First 5 tests had the same score. The last test had 12 points less. What was her last test score?
1 solutions

Answer 114938 by jojo14344(1512) on 2008-09-10 07:27:03 (Show Source):

You can put this solution on YOUR website!
If Torry has an Average

of 97 for

, so his total will be 6%2A97=highlight%28582%29points

Now, let the score for each test be

. SO,

T%5B1%5D=T%5B2%5D=T%5B3%5D=T%5B4%5D=T%5B5%5D=X

. And the condition that the last Test, T%5B6%5D

is 12 less, so the score is X-12

. Therefore adding the 6 Tests' score will total to highlight%28582%29

. To show:
T%5B1%5D%2BT%5B2%5D%2BT%5B3%5D%2BT%5B4%5D%2BT%5B5%5D%2BT%5B6%5D=582

---->

cross%286%29X%2Fcross%286%29=cross%28594%2999%2Fcross%286%29

--------------------------> SCORE for the 1st 5 tests T%5B1%5D-T%5B5%5D

---------------------> SCORE on the last test T%5B6%5D

In doubt? Let's add the total tests & the should equal to highlight%28582%29

Thank you,
Jojo

Mixture_Word_Problems/155935: If each side of a square is increased by 5 meters, the area becomes 121 square meters. Find the length of a side of the original square.
1 solutions

Answer 114869 by jojo14344(1512) on 2008-09-09 18:05:01 (Show Source):

You can put this solution on YOUR website!
We based the measurement on the NEW dimensions:
sides=s%2B5

-----------> each side increased by 5 meters
Area=121m%5E2

---------> NEW Area
So,
A=%28s%2B5%29%5E2

Factor (perfect square):
%28s%2B16%29%28s-6%29=0

2values:

----------> DON'T USE
s=6m

---------------------> USE, side of ORIGINAL SQUARE
In doubt? Use the side for the new AREA.
121m%5E2=%286%2B5%29%5E2

Thank you,
Jojo

Linear-systems/155887: Adult tickets for a play cost $25 each and children's tickets cost $15each. The total receipts were $7200 and the total attendance was 400. How many adults and how many children attended?
1 solutions

Answer 114841 by jojo14344(1512) on 2008-09-09 15:16:32 (Show Source):

You can put this solution on YOUR website!
Remember:
Adult=A=25.00

Total attendance =400, so A%2BC=400

----------------------> eqn 1
Total receipts = $7200.00:
25.00A%2B15.00C=7200

--------------------------------------> eqn 2
In eqn 1 we get, C=400-A

--> substitute in eqn 2:
25A%2B15%28400-A%29=7200

----->

cross%2810%29A%2Fcross%2810%29=cross%281200%29120%2Fcross%2810%29

--------------------> no. of Adults attended
For Children, go back eqn 1:
120%2BC=400

------------> no. of Children attended
In doubt? go back eqn 2:
25%2A120-15%2A280=7200

Thank you,
Jojo

Radicals/155714: Reduce the given expression to lowest terms
-v - 1/ -7
??? is it v + 1/ 7
1 solutions

Answer 114773 by jojo14344(1512) on 2008-09-08 23:59:16 (Show Source):

You can put this solution on YOUR website!
-v - 1/ -7
Let's isolate %281%29%2F%28-7%29

right?
so, -v-%28-1%2F7%29

----------> -v%2B1%2F7

Thank you,
Jojo

Angles/155738: An angle measures 12 degress less than three times its supplement. Find the measures of the angle.
1 solutions

Answer 114772 by jojo14344(1512) on 2008-09-08 23:50:25 (Show Source):

You can put this solution on YOUR website!
A%2BB=180

---------------> working eqn

is a supplement of

where

---->

, 3 times its supplement less 12deg.
So go back wworking eqn:
3B-12%2BB=180

---->

cross%284%29B%2Fcross%284%29=cross%28192%2948%2Fcross%284%29

go back working eqn to get

;

In doubt? go back to the highlight%28condition%29

Thank you,
Jojo

Human-and-algebraic-language/155788: This question is from textbook
You are making a rectangular rug. You want the rug to be twice as long as it is wide. Let w represent the width (in feet) of the rug. a.write an expression in terms of w for the perimeter of the rug.b.write an expression in terms of w for the area of the rug.
1 solutions

Answer 114770 by jojo14344(1512) on 2008-09-08 23:10:24 (Show Source):

You can put this solution on YOUR website!
Remember: L=2W

, twice as Long as the Width
So, P=2%28L%2BW%29

-----------------> P=2%282W%2BW%29

Also,

---------------> A=2W%2AW=2W%5E2

Thank you,
Jojo

Miscellaneous_Word_Problems/155811: This question is from textbook elementary and intermediate algebra
Cansomeone help me with this? #44. Fast food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
Thank you
1 solutions

Answer 114769 by jojo14344(1512) on 2008-09-08 23:05:25 (Show Source):

You can put this solution on YOUR website!
If 4%2F5=0.80%2A100

or 80% of doctors prefer fast food, then at convention of 445 doctors, 80% of which prefer that OR, 445%2A0.80=356doctors

.
Thank you,
Jojo

Parallelograms/155799: Find the length of one base of a trapezoid if the area of the trapezoid is 46cm squared, the height is 4 cm and the length of the other base is 6cm.
1 solutions

Answer 114768 by jojo14344(1512) on 2008-09-08 23:01:43 (Show Source):

You can put this solution on YOUR website!
Area%5BT%5D=%281%2F2%29height%28b%5B1%5D%2Bb%5B2%5D%29

Given:

, &

Substitution:
46cm%5E2=%281%2Fcross%282%29%29%28cross%284%292cm%29%286cm%2Bb%5B2%5D%29

---->

cross%2834%2917%2Fcross%282%29=cross%282%29b%5B2%5D%2Fcross%282%29

------------------------------> length of the other base
Thank you,
Jojo

Signed-numbers/155809: Find the error, then correct it. After driving 50 miles an hour for n hours the distance traveled was 50 n miles.
1 solutions

Answer 114767 by jojo14344(1512) on 2008-09-08 22:50:17 (Show Source):

You can put this solution on YOUR website!
remember: Speed=distance%2Ftime

Let' see, given: S=50miles%2Fhour

So,

, cross multiply
d=50%28miles%2Fcross%28hour%29%29%28n%2Across%28hours%29%29

---------> the distance is CORRECT
Thank you,
Jojo

Equations/155803: 4X+3=-3+2X+14-3
1 solutions

Answer 114765 by jojo14344(1512) on 2008-09-08 22:43:59 (Show Source):

You can put this solution on YOUR website!
4X%2B3=-3%2B2X%2B14-3

, combine similar terms
2x=5

thank you,
Jojo

Mixture_Word_Problems/155666: How many liters of a 10% alcohol solution must be mixed with 70 liters of a 90% solution to get a 30% solution?
Thanks in advance for your help!
1 solutions

Answer 114702 by jojo14344(1512) on 2008-09-08 15:26:50 (Show Source):

You can put this solution on YOUR website!
There are 2 unknowns in the problem: VOLUME OF ALCOHOL ---> A%28Liters%29

? VOLUME OF OUTPUT SOLUTION---> S%5B2%5D%28Liters%29

?
We'll go to the 1st condition: 10% of Alcohol mixed with 90% of 70L of initial solution S%5B1%5D

to produce 30% of S%5B2%5D

. To show:
0.10A%2B70L%280.90%29=0.30S%5B2%5D

----------------------> eqn 1
Now, when we add the Volume of

and

, we get the volume of S%5B2%5D

. To show:
A%2BS%5B1%5D=S%5B2%5D

--------------------------------> eqn 2
Continuing, A%2B70L=S%5B2%5D

---------------------> eqn 3
Substitute eqn 3 in eqn 1:
0.10A%2B70L%280.90%29=0.30%28A%2B70L%29

----->

cross%2842L%29210L%2Fcross%280.20%29=cross%280.20%29A%2Fcross%280.20%29

-------------------> volume of Alcohol
: For Volume of S%5B2%5D

, go back eqn 2:
210L%2B70=S%5B2%5D

-------------------> volume of output solution
In doubt? go back eqn 1:
0.10%28210%29%2B70%280.90%29=0.30%28280%29

thank you
Jojo

Linear-equations/155665: This question is from textbook thinking mathematically
A bookshelf is to be constructed. the length is to be 3 times the height. If 60 feet of lumbar is available for the entire unit, find the length and height of the book case.
1 solutions

Answer 114690 by jojo14344(1512) on 2008-09-08 14:58:53 (Show Source):

You can put this solution on YOUR website!
The bookshelf is rectangular in shape with Length=3H

---> condition 1, 3 times the height
Take note Width=Height=H

Total

, total feet of lumber available.
So, P=2%28L%2BW%29

------------------------> working eqn
but, W=H

and

, then:

----->

cross%2860%297.5ft%2Fcross%288%29=cross%288%29H%2Fcross%288%29

And,

In doubt? Go back working eqn, remember W=H

Thank you,
Jojo

Reduction-of-unit-multipliers/155667: 5.7 unks=6.7 tats
47.3 unks=___________tats
1 solutions

Answer 114688 by jojo14344(1512) on 2008-09-08 14:40:49 (Show Source):

You can put this solution on YOUR website!
5.7 unks=6.7 tats
47.3 unks=___________tats
Simply,
%2847.3cross%28unks%29%29%2A%286.7tats%2F5.7cross%28unks%29%29

Thank you,
Jojo

Polynomials-and-rational-expressions/155655: Leading men. Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?
1 solutions

Answer 114684 by jojo14344(1512) on 2008-09-08 13:27:52 (Show Source):

You can put this solution on YOUR website!
Of course everyone is welcome to try this problem but see what I got:
Remember: Bob+Hope=BH

: We all know that to know your AGE

, you subtract the base year (in this case it's highlight%281951%29

) to the year you were born:
Let

----> the year HF was born
so, Y-2

---> year CG was born, 2 years before HF
Y-2%2B2

-----> year BH was born, 2 years after CG
.
So we subtract the year each person born from 1951 so we can know their ages that sum up to 144 years. Let's see:
%281951-HF%29%2B%281951-CG%29%2B%281951-BH%29=144years

%281951-HF%29%2B%281951-CG%29%2B%281951-BH%29=144years

---------------> WORKING EQN 1951-Y%2B1951-Y-2%2B1951-Y-2%2B2=144

5853-3Y-cross%282%29-2%2Bcross%282%29=144

---->

===> Y=1903 & 8 months (August)---> the date & year HF born
1903.66667-2=1901.66667

===> 1901 & 8 months (August) ----> the date & year CG was born
1903.66667-2%2B2=1903.66667

===> 1903 & 8 months (August) ---> the date & year BH was born.
In doubt? See highlight%28NOTE%29

above, let's see their ages:
HF: 1951-1903.66667=47.3333

===> 47 years & 4months
CG: 1951-1901.66667=49.3333

===> 49 years & 4months
BH: 1951-1903.66667=49.3333

===> 47 years & 4months
Going back to the condition, the SUM of their ages in 1951 is 144:
47yrs & 4months + 49yrs & 4months + 47yrs & 4months =144 years
143 years & 12 months =144 years
144 years = 144 years
thank you,
Jojo

Equations/155641: the length of arectangle is 3cm less than four times its width.if the perimeter is 38cm,what is the area of the rectangle?
1 solutions

Answer 114652 by jojo14344(1512) on 2008-09-08 07:38:50 (Show Source):

You can put this solution on YOUR website!
Given:
W=x

So,

----->

cross%2844%294.4%2Fcross%2810%29=cross%2810%29x%2Fcross%2810%29

-----------------------------------> Width
4%284.4%29-3cm=17.6-3=14.6cm

------------------> Length
Area=Length%2AWidth

Thank you,
Jojo

Word_Problems_With_Coins/155633: 600 quarters equals how many dimes?
1 solutions

Answer 114651 by jojo14344(1512) on 2008-09-08 07:10:38 (Show Source):

You can put this solution on YOUR website!
Remember:
1Quarter=2.5Dimes

-------->

So,

%28600cross%28Quarters%29%29%282.5dimes%2Fcross%28Quarter%29%29

Thank you,
Jojo

Square-cubic-other-roots/155634: square root of 64
1 solutions

Answer 114650 by jojo14344(1512) on 2008-09-08 07:06:49 (Show Source):

You can put this solution on YOUR website!
sqrt%2864%29

=8
Thank you,
Jojo

Exponential-and-logarithmic-functions/155640: Approximate the number using a calculator. Round your answer to three decimal places.
e^3.8
a. 37.672
b. 45.001
c. 44.701
d. 10.329

1 solutions

Answer 114649 by jojo14344(1512) on 2008-09-08 07:04:56 (Show Source):

You can put this solution on YOUR website!
You can easily punch in e%5E3.8

tothe calculator and get:
44.701184%3E=44.701

ANSWER: C
Thank you,
Jojo

Average/155621: How do I find the average of four numbers whose sum is 108?
1 solutions

Answer 114646 by jojo14344(1512) on 2008-09-07 22:59:03 (Show Source):

You can put this solution on YOUR website!
Average of SUM of Four numbers :
Ave=sum%2F4

Thank you,
Jojo

Finance/155586: can you show me how to solve this problem
-5(7-4)2 divideby 3-12
1 solutions

Answer 114645 by jojo14344(1512) on 2008-09-07 22:55:39 (Show Source):

You can put this solution on YOUR website!
-5(7-4)2 divideby 3-12
I assumed it's like this: -5%287-4%29%5E2%2F%283-12%29

Continuing,
Remember in solving group of equations ----> Parentheses, Exponent, Multiplication, Division,Addition, Subtraction.
%28-5%283%5E2%29%29%2F%28-9%29

%28-5%2Across%289%29%29%2F%28cross%28-9%29-1%29

---->

Thank you,
Jojo

Geometry_proofs/155452: GIVEN: AB=BC,AD=DE,BC=AD
PROVE: DE=AB
1 solutions

Answer 114639 by jojo14344(1512) on 2008-09-07 22:25:49 (Show Source):

You can put this solution on YOUR website!
Let's start with AB=BC

, but

, so:

right?
Also, AD=highlight%28DE%29

, therefore highlight%28AB=DE%29

-----------> final condition
Thank you,
Jojo

Quadratic_Equations/155598: The width of a rectangle is 2 ft less than the length. the area is 8 ft^2. Find the length and the width.
PLEASE HELP!!!
1 solutions

Answer 114634 by jojo14344(1512) on 2008-09-07 22:13:32 (Show Source):

You can put this solution on YOUR website!
Remember: For rectangle,
Area=Length%2AWidth

----------------------------> working eqn
Given:
L=unknown=x