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

Tutors Answer Your Questions about Evaluation Word Problems (FREE)

Question 570943: What quantity of a 55% acid solution must be mixed with a 25% solution to produce 400 mL of a 40% solution?
Click here to see answer by Maths68(1140)

Question 570943: What quantity of a 55% acid solution must be mixed with a 25% solution to produce 400 mL of a 40% solution?
Click here to see answer by Alan3354(21554)

Question 570535: Could someone please help me with this problem? The average of the first three numbers was 42. The average of the next seven numbers was only 12. What was the average of all the numbers?
Click here to see answer by Earlsdon(6098)

Question 570179: The tolerance of the resistors used in electronics is given as a percent. Use your calculator for this exercise.
Find the lower and upper limits of a 17,000-ohm resistor with a 8% tolerance.
lower limit . ohms
upper limit . ohms
Click here to see answer by josmiceli(6777)

Question 570174: The sum of two numbers is twelve. Four less than three times the smaller is equal to the larger. find the smallest and largest number?
Click here to see answer by stanbon(48516)

Question 569414: I am a sophomore in high school and am taking Algebra II. Right now we are reviewing Algebra I stuff and I honestly don't remember much about word problems and I have never been good at them. For this problem I have to solve by writing systems of equations.. I just don't know how to get equations out of word problems..
please help?
"For a mathematics project, 26 students were divided into four groups. Two groups had the same number of student. The other two groups each had one more studen than the smaller groups. How many students were in the smaller group?"

also..
"When she graduated fom college, Regina was offered two jobs. One paid a starting salary of $30,000 annually, plus guaranteed increases of $2,000 per year. The other paid a starting salary of $25,000 annually, plus guaranteed increases of $3,000 per year. After how many year would the salaries be equal?"

Im not looking for the answers I am just looking for someone to explain how to set up the system of equations for these problems I can answer them after I get the equations!!!(:
please and thank you!!!
~J
Click here to see answer by stanbon(48516)

Question 568981: suppose x = t^2 + t and y = t^3 + t^2. if x = 2 what are the two possible values of y.
Click here to see answer by htmentor(580)

Question 567923: One cubic centimeter of aluminum weighs 2.7 grams. If a piece of aluminum foil weighs 5.4 grams, find the volume of the aluminum foil.
Click here to see answer by Alan3354(21554)

Question 567776: The peremiter of a rectangle is 66m the length is 1 m more than three times the width find the dimensions of the rectangle
Click here to see answer by stanbon(48516)

Question 566224: at-c= bt-d for t. i need to know the steps to solve the problem thanks
Click here to see answer by jim_thompson5910(21667)

Question 565091: The product of two numbers is 42. The difference of the same two numbers is 11. What are the two numbers
Click here to see answer by Alan3354(21554)

Question 565032: It's basically my sister's homework for school.
I want her to get an "A" on it.
Question
14) Twenty-four people pooled their money and bought lottery tickets. One ticket won a prize of $8,808,000. Find how hany dollars each person received.
Click here to see answer by ad_alta(170)

Question 564412: suppose a ball is thrown vertically up in the air so that the height of the ball after t seconds is s(t)=80t-16t^2. What is the height of the ball after 1 second?
Click here to see answer by Alan3354(21554)

Question 563514: I have a problem that is 20 + .32x = 35 + .20x I don't understand how to solve this.
Click here to see answer by fcabanski(385)

Question 561917: on a trivia game show, a contestant will answer 21 questions. A maximum of 200 points can be earned. Some questions are worth 10 points and some are worth 8 points. How many of each point-value question must the contestant answer to earn the maximum number of points?
please help my on this word problem? i have to show work to.
Click here to see answer by solver91311(12118)

Question 560346: Hi. I'm reviewing for my upcoming test in math and I am not really sure how to answer this one. It's an equation that has to do with real-world situations.
"The dimensions of a building are 100 times as large as the dimensions of its model. If a floor on the model is x cm long, how long is the floor on the building?"
Thanks for your time
Click here to see answer by subudear(55)

Question 346959: Wow. This should be easier...
AB * CD = DDD
What's D? There should be two answers, but I'm dumbfounded helping my daughter with her homework! :) Help
Click here to see answer by nn-i(2)

Question 557949: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative
ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger ability:
verbal or quantitative? Explain your answer to a person who has never had a
course in statistics.
Click here to see answer by Theo(2967)

Question 557950: You are conducting a survey at a college with 800 students, 50 faculty members,
and 150 administrators. Each of these 1,000 individuals has a single listing in
the campus phone directory. Suppose you were to cut up the directory and pull
out one listing at random to contact. What is the probability it would be (a) a student,
(b) a faculty member, (c) an administrator, (d) a faculty member or administrator,
and (e) anyone except an administrator? (f) Explain your answers to
someone who has never had a course in statistics.
Click here to see answer by Theo(2967)

Question 557907: A child's raincoat is on sale for $18.00 after a 40% markdown. What is the raincoat's original price?
Click here to see answer by rfer(10417)

Question 557297: On three consecutives passes, a football team gains 5 yards, loses 10 yards and gains 45 yards. What number represents the total net yardage? The answer I got was 5-10+45=50
- Solve by using the substitution method. 8x+3y=-42 and x=8-7y
-What is the domain of (p) p(x)=x 2(to the second power) -2x+1
y=6/5x+5
Determine if (-1,6)is a solution for 6x-6y=1
10x--90
-6+4x<38
Find the slope for (3,9) and (7-10)
Find the slope and the y-intercept for f(x) -2x-3
Solve 7x not equal to 35

Click here to see answer by stanbon(48516)

Question 556613: there are cows and chickens on the barnyard and there are 24 legs. how many cows? how many chickens? how do you know?
Click here to see answer by Alan3354(21554)

Question 555266: Please help solv. A digital photgraph is 30 pixel longer than it is wide and has a total area of 4000 pixels. Find the dimensions of this photograph.
Click here to see answer by nerdybill(5403)

Question 554812: Estimate the product.Write a number model to show how you estimated.
a.48*21
b.98*72
Click here to see answer by rfer(10417)

Question 554064: My dad and I are trying to figure out this problem:
"The difference between two numbers is 10.The greater number is 4 more then twice the lesser number.Find the two numbers"
Click here to see answer by Alan3354(21554)

Question 553695: the table below shows the number of male and female students enrolled in nursing at a university for a recent semester. fine the specified probability
Nm Nnm total

males 203 1305 1508
Females 841 1498 2339
Total 1044 2803 3847
3. the student is male or a non-nursing major.
4. the student is female or a nursing major.
5. a student is not male or a nursing major.
6. the student is male or a nursing major.
7. are the events "being male" and "being a nursing major" mutually exclusive?

Click here to see answer by stanbon(48516)

Question 553472: Soybean meal is 16% protein; cornmeal is 8% protein.?
How many lbs of each should be mixed together in order to get 320-lb mixture that is 13% protein.

Click here to see answer by mananth(10541)

Question 553261: Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for 11 people cost a total of $228.00. Write and solve a system of equations to find how many children and how many adults were in the group
Click here to see answer by mananth(10541)

Question 552895: The sum of the digits of a two-digit number is 15. If the digits are reversed, the number is increased by 9. What is the original number?
Click here to see answer by mananth(10541)

Question 477771: The beginning tennis class has twice as many students as the advanced class. The intermediate class has three more students than the advanced class. How many students are in the advanced class if the total enrollment for the three tennis classes is 39?
Click here to see answer by hibbertsr(1)

Question 550998: Graph the line with a slope of 2/3 that contains the point (3, –7).
Click here to see answer by mananth(10541)

Question 550994: The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. Write an equation that represents the water level, w, after d days. Identify the slope and y-intercept and describe their meanings. In how many days will the water level be 26 feet?
Click here to see answer by TutorDelphia(189)

Question 550968: Together, Lake Superior and Lake
Michigan cover 54 thousand square miles. Lake
Superior is approximately 10 thousand square miles
larger than Lake Michigan. Find the size of each lake.
Divide 54 into 2= 27, then subtract 5 from one side and then add it to the other side x=32 y=22 22+32=54, I understand but how do I put this in a formula?

I know the answer but I'm not too sure how I would present it on paper?
Click here to see answer by josmiceli(6777)

Question 550963: At a summer camp there is one counselor for every 8 campers. Write a direct variation equation for the number of campers, y, that there are for x counselors.
Click here to see answer by stanbon(48516)

Question 550804: A motor boat travels at the rate of 50kph down the river. If the current of the river is 5kph, how far can it travel up the river in 2 hours?

Click here to see answer by ankor@dixie-net.com(12684)

Question 550838: Tony had an equal number of cranberry bars and walnut bars. He gave away 66 cranberry bars. He then had 4 times as many walnut bars as cranberry bars left. How many bars did he have at first?
Click here to see answer by richwmiller(7655)

Question 550086: Michael Phelps has 6 gold medals to place on an empty, three-shelf display case. The six medals are individual medals 1, 2, 3, and relay medals 4, 5, 6. The three shelves of the display case are labeled A, B, C (top to bottom). Any of the shelves may remain empty. The placement of the medals must obey the following rules:
i) 4 & 6 may not be on the same shelf
ii) 1 must be on the shelf directly above the shelf 6 is on
iii) No shelf may hold all three individual medals
iv) Medal 5 may not be on shelf B
If medal 4 is on shelf B, what other medal must also be on the same shelf?
Click here to see answer by Edwin McCravy(6931)

Question 549910: Use the Remainder Theorem to find P (-1/7) if P(X)=
Click here to see answer by prateekagrawal(47)

Question 549759: To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken both contain 410 millilters. How much liquid is in the pot?
Click here to see answer by mathie123(175)

Question 549675: If a stone is tossed from the top of a 190 meter building, the height of the stone as a function of time is given by h(t) = -9.8t^2 -10t +190, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
Click here to see answer by josmiceli(6777)

Question 549302: A theatre sells 200 tickets one day. The tickets are sold for $33. and $18. The total dollar amount collected for the one day is $4,800.
How do a write the equation for this problem and steps to solve?
x= $33. tickets
y= $18. tickets
x + y = 200 tickets
33x + 18y = 4,800.
I do not know how to continue
Thank you,
Karen
Click here to see answer by stanbon(48516)

Question 549265: Eduardo's school is selling tickets to a choral performance. On the first day of the ticket sales the school sold 9 senior citizen tickets and 2 student tickets for a total of $69. The school took in $128 on the second day by selling 14 senior citizen tickets and 10 student tickets. What is the price of each of one senior citizen ticket and one student ticket?
Click here to see answer by mananth(10541)

Question 548715: "The sides of one square have a length 2ft more than the sides of another square. If the area of the larger square is subtracted from three times the area of the smaller square the result would be 12 sq. feet. Find the lengths of sides of the smaller square."
My equation: (x+2)(x+2)-3x^2= 12

My problem is I plugged it into quadratic formula and only ended up with no real solutions. Please and Thank you.
Click here to see answer by jim_thompson5910(21667)

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