Questions on Algebra: Average answered by real tutors!

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Question 87540: The speed of a hiker averages 2 km per hour uphill and 6 km per hour downhill.What is his average speed for the entire trip?
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Question 88839: adam tried tocompute the average of his 7 test scores. He mistakenly divide the correct sum of all of his test scores by 6 wich yielded 84. What is adams correct average test score?
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Question 88840: A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?
Click here to see answer by jim_thompson5910(13794) About Me 

Question 89814: A student wrote 69 as the average of the data: 70,59,72,35,67,78,68,81,80,and 76. By how much was the answer incorrect?
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Question 89814: A student wrote 69 as the average of the data: 70,59,72,35,67,78,68,81,80,and 76. By how much was the answer incorrect?
Click here to see answer by tutorcecilia(2042) About Me 

Question 90048: If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
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Question 77769This question is from textbook
: 1.The average of the numbers 5,9,10,13 and a equals 11. Find the value of a.
2. Express the following in the form a+bi, where a and b are real numbers
3+i/1+2i
This question is from textbook

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Question 91482: José rode his trail bike for 10 miles. Two-thirds of the distance was over
a mountain trail. How long is the mountain trail?

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Question 91479: Statistics. In a weekend baseball tournament, Joel had 4 hits in 13 times at bat.
That is, he hit safely of the time. Write the decimal equivalent for Joel’s hitting,
rounding to three decimal places. (That number is Joel’s batting average.)

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Question 91609: Hi! I was wondering if you can help me solve this problem please:
A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70 What was the average score for all 50 students who took the test?

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Question 92637: If the average (arithmetic mean) of x and y is k, which of the following is the average of x, y, and z?
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Question 93548: Need to find the average of a percentage based on other variables:
I have 1 cup of apple juice that is 50% apple juice.
I want to add 2 more cups of apple juice to the 1 cup, but it is 75% apple juice.
What is the average percent of apple juice when I add it to the 1 cup
a=1 cup
(a's percentage) a1=50%
b=3 cups
(b's percentage) b1=75%
IF a=b then you would add a1 + b1 then divide by 2 (62.5%)
if a1=b1 then the percent of apple juice would be the same

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Question 93779: After a test, a teacher worked out the average mark for her class of 10 pupils. It was 81%
One of the pupils scored only 27%, which was much less than any of the other marks.
The teacher decided to work out a new average, leaving out the lowest mark. What was the new average?

Click here to see answer by Nate(3495) About Me 
Question 93779: After a test, a teacher worked out the average mark for her class of 10 pupils. It was 81%
One of the pupils scored only 27%, which was much less than any of the other marks.
The teacher decided to work out a new average, leaving out the lowest mark. What was the new average?

Click here to see answer by jim_thompson5910(13794) About Me 

Question 94405: I am so lost and really need help with this problem
m8n6/m4n2

Click here to see answer by praseenakos@yahoo.com(417) About Me 

Question 94409: Having issues with this problem, can you help?


The sum of two numbers is 112. The second is 7 more than 4 times the first. What are the two numbers?

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Question 94412: This one is driving me up a wall?


The difference of two numbers is 33. The second is 7 less than 3 times the first. What are the two numbers?

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Question 94507: I am lost

Solve the system by substitution.
3x – y = –7
x + y = –9

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Question 94506: Not sure on this word problem
Adult tickets for a play cost $20 and child tickets cost $16. If there were 27 people at a performance and the theater collected $464 from ticket sales, how many adults and how many children attended the play?

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Question 94505: I need help?
The sum of two numbers is 33. Their difference is 11. What are the two numbers?

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Question 94504: Solve the system by addition.
2x + 4y = 3
4x – 2y = 1


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Question 94512: I am loosing it over this one
Solve the following system of linear inequalities by graphing.
x – y < 3
x + 2y < 6

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Question 94509: I am just lost on this one

HElp
A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders requare that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities.

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Question 94503: I am lost


Find x for the following set of numbers:
-1/5,2/5,-3/5,3/5,4/5,1


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Question 94832: If the average (arithmetic mean), of 6, 6, 12, 16, and x is equal to x, what is the value of x?
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Question 94916: The mean of 21 test score is 78. What mean score must three additional students acheive so that the mean for all 24 students is 80.
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Question 94916: The mean of 21 test score is 78. What mean score must three additional students acheive so that the mean for all 24 students is 80.
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Question 95683: explain why there is no value of x for which the expressions x + 3 and x + 4 are equal?
My 7th grade son has this question on one of his worksheets and sadly I am unable to help him.
Thanks so much in advance for your help

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Question 95683: explain why there is no value of x for which the expressions x + 3 and x + 4 are equal?
My 7th grade son has this question on one of his worksheets and sadly I am unable to help him.
Thanks so much in advance for your help

Click here to see answer by Edwin McCravy(2922) About Me 

Question 95704: To qualify for the semi-finals in a bowling tournament, a bowler must have at least a 160 average for five games. Suppose the scores for your first four games were 172, 150, 148, and 162. What is the lowest score you can bowl in the fifth game and still qualify for the semifinals?
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Question 95704: To qualify for the semi-finals in a bowling tournament, a bowler must have at least a 160 average for five games. Suppose the scores for your first four games were 172, 150, 148, and 162. What is the lowest score you can bowl in the fifth game and still qualify for the semifinals?
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Question 96230: Two teams work in a factory making couches. Team A can make a couch in 3 hours less than team B. Working together, they canmake a couch in 2 hours. How long does it take each team working alone to make a couch?
Team A:_____________ Team B:___________

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Question 96242: A farmer has chickens and rabbits on his farm - There are 22 heads and 72 feet - how many chickens and how many rabbits are there
Rabbits = X Chickens = Y
4 X + 2Y = 72
-2 (x) + -2 (Y) = 22
-2 =44
72-44= 28
2X = 28
x= 14
Y= 8
Thankn You

Click here to see answer by stanbon(26297) About Me 

Question 96371: What is the rule for finding the number of boxes in a pyramid display that has 100 boxes in the base? The boxes are stacked somewhat like this:
x
xx
xxx
xxxx

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Question 96371: What is the rule for finding the number of boxes in a pyramid display that has 100 boxes in the base? The boxes are stacked somewhat like this:
x
xx
xxx
xxxx

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Question 96871: I need an answer to this please:
Generate ordered pairs for y=x-4 using x= 2,3,4,5 and 6
graph the ordered pairs and describe the pattern.
the graph shows:
input output ordered pairs
x y (x,y)

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Question 96869: I need an explanation to this:
Genaerate ordered pairs fo y= x-4 using x= 2,3,4,5 and 6. Graph the ordered pairs and describe the pattern.
After that it shows a graph
input output ordered pair

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Question 97432: The average of four numbers is 98. If three of the numbers are 86, 87, and 91, what is the fourth number?
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Question 97599: What 2 digit is equal to three times the product of its digits?
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Question 98242: A jet flew atan average speed of 540 mi/h on a 4 2/3h flight. What was the distance flown?
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Question 98429: I need a refresher on how to solve by completeing the square x^2+8x+12=0. It has been 24 years and I'm stuck. Thanks please show me how to set up and solve
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Question 98870: A student has grades on three test from the MAT 101 course. The grades are 76, 80, and 72. What must he earn on test 4 to have an average of at least 80?
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Question 99021: Please help me solve this problem:
Four test scores are between 0 and 100 inclusive.
The mean of these scores is 92. What is the smallest
any one of the scores can be?

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Question 99349: Solve: 4x=75
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Question 98137: I HAVE A PROBLEM THIS IS THE QUESTION:
HOW MANY CARS ARE PRODUCED ON AVERAGE BY BOTHS COMPANIES IN 20 YEARS?
COMPANY X = 1250 CARS PER YEAR.
COMPANY Y = 2500 CARS PER YEAR.
ANSWERS:
A: 3750
B: 12500
C: 25000
D: 37500

Click here to see answer by scottnascar(12) About Me 

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