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

Tutors Answer Your Questions about Evaluation Word Problems (FREE)

Question 451520: How many milliliters of water must be added to 10 milliliters of a 30% sulfuric acid solution to make a 15% sulfuric solution?
Click here to see answer by nerdybill(7384)

Question 451519: Becky has 20 coins; some are quarters and the rest are dimes. The total vaue of the coins is $3.65. Find the number of each kind of coin.
Click here to see answer by solver91311(24713)

Question 451516: Christie's mother gave her $9.00 to buy 10 cent and 15 cent stamps. Christie returned with $1.75 in change and a total of 60 stamps. How many of each kind of stamp did she buy?
Click here to see answer by rwm(914)

Question 451513: Sandy has a total of 41 quarters and nickels. The value of her money is $7.05. How many of each coin does she have?
Click here to see answer by pedjajov(51)

Question 451927: The owner of a home decorating shop wants to mix dried corn for $6lb., dried cranberries selling for $5/1b. and flour selling for $3 lb. to get 10 pounds of a mixture that would sell for $3.80/lb. he wants to use twice as many pounds of dries corn as drive cranberries. how many pounds of each of the 3 ingredients should he use?
Click here to see answer by stanbon(75887)

Question 451896: The bases in a baseball diamond are 90 ft apart. A player picks up a ground ball 11 ft from third base, along the line from second base to third base. Determine the angle that is formed between first base, the player's present position, and home base.
I'm not sure as to where to start with this question. Please clarify by showing all steps.
Click here to see answer by ankor@dixie-net.com(22740)

Question 452151: If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 452283: Any "x" which satisfies ___ also satisfies 1- |x+1| <0.
a) x< -2
b) x> -1
c) x< 0
d) x<1
Click here to see answer by stanbon(75887)

Question 452282: In the sequence 4, 8, 64,..., each term after the first is the product of all the positive integer factors of the previous term. What is the fourth term of this sequence?
a) 2^36
b) 2^21
c) 2^12
d) 2^11
Click here to see answer by stanbon(75887)

Question 452378: The sum of a student's three scores is 228. If the first is 21 points more than the second, and the sum
of the first two is 3 more than twice the third, what was the first score?
Click here to see answer by ankor@dixie-net.com(22740)

Question 452748: what value of x will make the rational expression x-3/x+7 undefined?
Click here to see answer by ilana(307)

Question 452714: x+4/2+x+2/3=x+1/1
Click here to see answer by rfer(16322)

Question 452837: Use a half-angle identity to find the exact value of the expression. sin 112.5 degrees
Click here to see answer by robertb(5830)

Question 453381: linda is going to visit a freind who lives in san luis obispo, which is 300 miles away. on the return trip, she was able to average 20 mi/hr faster, and it took her one hour and a quarter less time. what was her average speed on the way down, and what was her average speed on the way back.
Thanks alot!
Click here to see answer by pedjajov(51)

Question 452689: As x approaches infinity, find limit of (x + sin(exp^x))
Click here to see answer by robertb(5830)

Question 453423: Can someone please help with this question?
Multiply
(6+4i)(8-2i)
Click here to see answer by ptaylor(2198)

Question 453499: Determine a value of b for which b^(1/6) is interger
Click here to see answer by stanbon(75887)

Question 453653: Scenario #2: The mortgage department of the company is selling two model homes that are located on the same block. The square footage, as well as the type of model, determines the cost of these homes.
e) The second home has 200 square feet more than the square footage of the first home. Write an equation that illustrates this situation using x and y to denote home #1 (x) and home #2 (y), respectively.
f) Together, both homes have 5,000 square feet. Write an equation that illustrates this situation using the same variables you used in part e.

g) Use substitution to determine the square footage of each house. Demonstrate the process you used to arrive at your answer

Click here to see answer by CassieWax(3)

Question 453956: Determine if the sequence could be arithmetic. If so, identify the common difference.
3, 8, 13, 18,...
Click here to see answer by solver91311(24713)

Question 453960: Determine if the sequence could be geometric. If so, identify the common ratio.
6, -2, 2/3, -2/9

answer choices:

a) yes; −1/3
b) yes; 1/3
c) yes; 3
d) no

Click here to see answer by solver91311(24713)

Question 453961: Identify the 9th term in the geometric sequence.
972, 324, 108, 36,...

answers:
a) 1/27
b) 4/27
c) 1/81
d) 4/81

Click here to see answer by htmentor(1343)

Question 453961: Identify the 9th term in the geometric sequence.
972, 324, 108, 36,...

answers:
a) 1/27
b) 4/27
c) 1/81
d) 4/81

Click here to see answer by solver91311(24713)

Question 453978: Identify a function that is linear.
answer choices:
a) f(x) = 5x − 9
b) f(x) = 2x^2 + 3
c) f(x) = -4/(x+1)
d) f(x) = (x^5) − 9
Click here to see answer by solver91311(24713)

Question 453978: Identify a function that is linear.
answer choices:
a) f(x) = 5x − 9
b) f(x) = 2x^2 + 3
c) f(x) = -4/(x+1)
d) f(x) = (x^5) − 9
Click here to see answer by richwmiller(17219)

Question 453975: Identify the next three terms in the sequence, using the simplest rule you can find.
1, 2, 1, 4, 1, 6, 1,...

answers:

a) 1, 8, 1
b) 1, 1, 8
c) 1, 10, 1
d) 8, 1, 10

Click here to see answer by richard1234(7193)

Question 453989: The total surface area of a cylinder of height 9.5 cm is estimated using the function f(r) = 6r2 + 60r, where r is the radius of the cylinder. If the radius of the cylinder is 5 cm, what is its total surface area?

answers:

a) 1200 cm(squared)
b) 450 cm(squared)
c) 187.5 cm(squared)
d) 60 cm(squared)

Click here to see answer by stanbon(75887)

Question 453963: Determine if the sequence could be geometric. If so, identify the common ratio.
450, 150, 75, 25, �

answers:

a) yes; 0.5
b) yes; 1.5
c) yes; 2.5
d) no
Click here to see answer by htmentor(1343)

Question 453965: Use first and second differences to identify the next three terms in the following sequence: 12, 25, 44, 69, 100, 137, 180,...
answers:
a) 180, 229, 284
b) 180, 274, 335
c) 229, 284, 345
d) 229, 345, 412
Click here to see answer by solver91311(24713)

Question 454003: Which of the following relationships is NOT an inverse variation?

answers:
a)
x: 2,5,6,8,9
y: 180,72,60,45,40
b)
x: 2,3,5,6,8
y: 60,40,24,20,15
c)
x: 2,3,5,6,8
y: 120,80,48,40,30
d)
x: 2,5,6,8,9
y: 22,25,26,28,29
Click here to see answer by solver91311(24713)

Question 454007: Use first and second differences to identify the next three terms in the following sequence: 12, 25, 44, 69, 100, 137, 180,...

answers:

a) 180, 229, 284
b) 180, 274, 335
c) 229, 284, 345
d) 229, 345, 412

Click here to see answer by solver91311(24713)

Question 453990: Which of the following relationships is an inverse variation?

answer choices:
a)
x: 2,3,4,6,8,16
y: 72,48,36,24,18,9
b)
x: 2,3,4,6,8,16
y: 4,6,8,12,16,32
c)
x: 2,3,4,6,8,16
y: 6,9,12,18,24,48
d)
x: 2,3,4,6,8,16
y: 7,8,9,11,13,21
Click here to see answer by solver91311(24713)

Question 453838: A scientist wants to go to a small island 5km south of the coastline and
13km from the town. From town, he drives his small truck east along the
waterfront, towing his boat. Then he parks his truck, and travels straight to
the island by boat.

(a) The truck travels at 50km/h. The boat travels at 20km/h. How far east
of town should he park his truck and start his boat journey to minimize
the travel time?
(b) The truck uses $1 of diesel per km travelled, while the boat uses 60c of
diesel per km. What should the scientist do if he wants to minimize the
cost?

Click here to see answer by ankor@dixie-net.com(22740)

Question 454074: shane wants to attend 3 concerts.
She has a coice of 7.How many concert combinations are their?
Click here to see answer by stanbon(75887)

Question 454364: I need to find a weight that will keep a body mass index between 18 and 33,
the man is 76 inches tall
Click here to see answer by solver91311(24713)

Question 454004: Find the 67th term in the arithmetic sequence.
a1 = 4.5, d = −0.5

answers:

a) −28.5
b) −29
c) 28.5
d) 37.5

Click here to see answer by robertb(5830)

Question 454716: Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
5 red cards.
4 spades and 1 card that is not a spade.
3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.
I am having a difficult time figuring these out. Any help would be appreciated! :)

Click here to see answer by stanbon(75887)

Question 454905: When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 13. What is the original number?
A sailboat travels 20 miles downstream in 4 hours. It returns in 5 hours. Find the speed of the sailboat in still water and the rate of the current.

Thank you. :)
Click here to see answer by ankor@dixie-net.com(22740)

Question 454956: A convex decagon has six side equal angles .Two angles are 20 degree more than one of six angles.Two more triangle are 40 degrees more than one of the six angles.Find the measure of each angle.
Click here to see answer by stanbon(75887)

Question 455012: Write the slope intercept form
equation for the line with the
given sloe that contains the
given points.
m=1/3; (6,3)
Click here to see answer by nerdybill(7384)

Question 455045: help please,
Solve by completing the square
2^x +2x=14
Click here to see answer by Alan3354(69443)

Question 455151: please help
The height of a building is 1038 ft. How long would it take an object to fall to the ground from the top. Use the formula S= 16ft^2, where S is the distance, in feet traveled by an object falling freely from rest in T seconds.
Click here to see answer by stanbon(75887)

Question 455245: Two numbers add to 20 and multiply to 96. Find the numbers.
Click here to see answer by rfer(16322)

Question 455247: Two numbers have a difference of 5. They mulitply to 84. Find the numbers.
Click here to see answer by rfer(16322)

Question 455317: Find the mean
Find the median
Find the mode
Find the upper and lower quartiles
Find the range
Find the variance
Find the standard deviation
79.6,94.8,94.2,86,83.6,82,89.4,76.4,85,92.9,95.6,90.6,91.7,87.9,85.7,91.7,68,88,78.9,98.2,86.3,96
I am really having a hard time figuring this out, any help would be greatly appreciated!
THanks!
Click here to see answer by oberobic(2304)

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, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915