Questions on Word Problems: Evaluation, Substitution answered by real tutors!

Tutors Answer Your Questions about Evaluation Word Problems (FREE)

Question 447492: Find the number of combinations.
10C6
12C8
14C10
Click here to see answer by ewatrrr(10682)

Question 447489: Find the number of permutations.
9P6
14P7
12P12
Click here to see answer by ewatrrr(10682)

Question 447490: Find the number of distinguishable permutations of the letters in the word.
MATH
SOUTH
BALL
I am having a hard time figuring this out, and help would be awesome!

Click here to see answer by ewatrrr(10682)

Question 447750: 1) Charles spent $3.70 for 22 stamps. If he only bought $0.15 stamps and $0.20 stamps, how many of each kind did he buy?
2) A group of people went to a movie together. They spent $24.75 for 8 tickets. If adult tickets cost $4.50 and children's tickets cost $2.25, how many of each kind of ticket were bought?
Click here to see answer by jorel1380(2518)

Question 447754: The lengths of the sides of a rectangle are consecutive odd integers. If the perimeter of the rectangle is 128 cm, what are the dimensions of the rectangle?
Click here to see answer by jorel1380(2518)

Question 447753: 1) Together, Max and Raoul sold 137 tickets for a benefit baseball game. If Max sold 10 fewer than twice as many as Raoul, how many tickets did each boy sell?
2) Mary and Anthony are driving 1780 miles from New York to Denver. If their car gets 25 mil/gal and gasoline averages about $1.03/gal, how much money will they pay for gas on their trip?
Click here to see answer by jorel1380(2518)

Question 447088: A survey of 1000 American adults was taken to analyze their investments. Of those surveyed, 650 had invested in stocks, 550 in bonds, and 400 in both stocks and b9onds. Of those surveyed
How many invested in only stocks
How many invested in stocks or bonds
How many did not invest in either stocks or bonds
Click here to see answer by jorel1380(2518)

Question 442909: The current in a stream moves at a speed of 4mi/h. A boat travels 4 mi upstream and 12 mi downstream in a total time of 2 hours. What is the speed of the boat in still water?
Click here to see answer by jorel1380(2518)

Question 447751: 1) Find two numbers such that 5 times the larger number plus 3 times the smaller number is 47, and 4 times the larger number minus twice the smaller number is 20.
2) Mary has 15 coins with a total value of $1.75. If the coins are nickels and quarters, how many of each kind are there?

Click here to see answer by jorel1380(2518)

Question 442916: The speed of a boat in still water is 10 km/h. The boat travels 12 km upstream and 28 km downstream in a total time of 4 hours. What is the speed of the stream?
Click here to see answer by jorel1380(2518)

Question 442936: Find the side of a square whose diagonal is 3 cm longer than a side.
Click here to see answer by jorel1380(2518)

Question 443453: Your rectangular pool is 25feet long and 10 feet wide. You decide to build a fence that surrounds the pool. The fence is 2feet from all sides of the pool, find the total length of the fence around the pool. Be sure to explain your reasoning And draw a diagram.
Click here to see answer by jorel1380(2518)

Question 448000: Divide
(42b^3+96b^2+48b+33)/(6b+3)
Click here to see answer by rwm(914)

Question 448041: The sum of two numbers is 36. Find the numbers such that their product is a maximum.
Click here to see answer by stanbon(57940)

Question 448133: 1)The sum of the digits is 6. The number is 6 times its units digit.
2) The sum of the digits is 6. Reversing the digits gives a new number that is 18 less than the original.
Click here to see answer by solver91311(17059)

Question 448137: 5) The units digit exceeds the tens digit by 6. The number is 10 more than 9 times the tens digit.
6) The sum of the digits is 12. The number is 1 more than 8 times its units digit.
Click here to see answer by solver91311(17059)

Question 448136: 3) The units digit is 3 times more the tens digit. When the digits are reversed, the new number is 54 more than the original.
4)The units digit is 3 times the tens digit. The number is 12 more than 9 times the tens digit.
Click here to see answer by solver91311(17059)

Question 448336: 9) Twice the tens digit of a number increased by the units digit is 22. If the digits are reversed, the new number is 45 less than the original.
10) Three times the units digit is 2 less than the tens digit. If the digits are reversed, the new number is 54 less than the original.
(THANK YOU)
Click here to see answer by mananth(12270)

Question 448359: The sum of the digits of a two digit numeral is 11. If the digits were reversed, the resulting number would be 45 greater than the original number. What is the original numeral?
Click here to see answer by rwm(914)

Question 448357: Two kilograms of hamburger and three kilograms of chicken cost $5.55. One kilogram of hamburger and two kilograms of chicken cost $3.37. Find the cost of one kilogram of hamburger and the cost of kilogram of chicken?
Click here to see answer by mananth(12270)

Question 448392: what is the GCF of a2(this is supposed to be square) - 3a? Thanks!

Click here to see answer by algebrahouse.com(1079)

Question 448365: A boy walked over hills at 3 kilometers per hour and on flat roads at 4 kilometers per hour. He walked 18 kilometers in five hours. How much of his trip is over hills?
Click here to see answer by ankor@dixie-net.com(15745)

Question 448567: Solve. Please show all of your work.
If James received a 9% raise and is now making $102,000 per year, what was his salary before the raise? Round your answer to the nearest dollar.

Click here to see answer by ewatrrr(10682)

Question 448568: Solve. Please show all of your work.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 137. Find both integers.

Click here to see answer by ewatrrr(10682)

Question 448572: Find the slope and y-intercept of the line in the given equation. Y=-1/5x-6
please show all you work
Thank you
Click here to see answer by stanbon(57940)

Question 448537: solve and show all work please so I can learn how to do these problems
-3(7x-6)-x=26-2(11x+4)
Thank you for your help
Click here to see answer by sudhanshu_kmr(1152)

Question 448569: Solve. Please show the algebraic inequality you used and show all of your work.
The equation y = 0.004x – 0.40 can be used to determine the approximate profit, y, in dollars, or producing x items. How many items must be produced so that profit will be at least $1402?

Click here to see answer by jorel1380(2518)

Question 448823: help pleas:
Find an equation of the variation in which y varies jointly as x and z, and y=15 when x=5 and z=3
Click here to see answer by edjones(7569)

Question 448959: I need help with writing an equation for the following problem"
Pan is 14 and her dad is 37. In how many years will Pan's dad be twice an old as she will be?
I worked it the "old fashion" way--wrote down- 14 and 37, 15 and 38, 16 and 39, etc. I KNOW the answer is 9 years--but how do I write an equation to get that answer? Thank you, Linda
Click here to see answer by Alan3354(31487)

Question 448958: if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the oder of the digit. the sum of the digits is 3. find the number ?
Click here to see answer by stanbon(57940)

Question 448947: How do you determine if a polynomial is the difference of two squares?
Please Explain
Click here to see answer by TheDoctor(14)

Question 449054: Eleven plus forty-one is divided by a number. If the result is 13. What's the number?
Click here to see answer by ewatrrr(10682)

Question 449112: At a summer camp there is one counselor for every 9 campers. Determine whether there is a direct variation between the number of campers, y, and the number of counselors, x. If so, find the equation of direct variation.

answers:
a) direct variation ; y= 9x
b) no direct variation
c) direct variation ; y= 9x + 9
d) direct variation ; x= 9y
Click here to see answer by rwm(914)

Question 449116: Tell which ordered pair is a solution of the inequality y < x + 12.
answers:

a) (−3, 5)
b) (−4, 12)
c) (−5, 8)
d) (−7, 9)

Click here to see answer by rwm(914)

Question 449107: Use the point-slope form of the equation y + 4 = 5(x + 6) to identify a point the line passes through and the slope of the line.

answer choices:

a) (−6, −4); 5
b) (−6, −4); −5
c) (6, 4); 5
d) (6, 4); −5

Click here to see answer by Leaf W.(97)

Question 449113: Identify the equation of direct variation given that y varies directly with x.
x is 84 when y is 6.

answers:
a) y = 14x
b) y = 84x
c) y = 1/14x
d) y = 1/48x
Click here to see answer by rwm(914)

Question 449122: can you give me the answer to this:

Identify the equation of direct variation given that y varies directly with x.
y is 75 when x is 5.
Click here to see answer by mananth(12270)

Question 449219: Determine if(-2/3,1) is a solution to -9x-2y=8. Please show all of your work.
Click here to see answer by stanbon(57940)

Question 449517: In Professor Tuffguy's mathematics class, 36 students took the final exam. Of the average passing grade was 78, the average failing grade was 60, and the class average was 71, how many of these 36 students passed the final?
A) 14
B) 22
C) 24
D) 29
Please explain your reasoning. Thank you.
Click here to see answer by ankor@dixie-net.com(15745)

Question 444324: Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A= 3feet
B= 3 3/4 feet
C= 3 1/2 feet
D= 3 1/4 feet
E= 2 1/2 feet
Click here to see answer by rwm(914)

Question 449756: You are in the market for a new home and are interested in a new housing community. The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write and equation that illustrates the situation.
The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation.
Use the equations from parts a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available.
Click here to see answer by jorel1380(2518)

Question 449805: A total of $41,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in the bonds is to exceed that in CDs by 5,000, how much will be invested in each type of investment?
Click here to see answer by jorel1380(2518)

Question 449827: Hi I am completley lost on this question that was asked in my math homework.
a square has its length increased by 2 inches and its width decreased by 3 inches. the resulting rectangle has an area of 14 square inches. Determine the area of the original square?
help is much appericated thank you!
Click here to see answer by mananth(12270)

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, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610