# Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Question 387863: can you help me with this question please? If mike's total loan amount is 16,200 and 5% of his loan came from perkins and 4% of his loan came from stafford, mike accrued \$715.00 in interest the first year, so how much was each loan? Thank you Shelly Click here to see answer by ankor@dixie-net.com(15652)

 Question 388568: solve the linear system by using substituion 6x-y=-35 5x-2y=-35 Click here to see answer by mananth(12270)

 Question 388646: I've been having some problems acquiring a formula for finding how much of an object is submerged in water. I have an object that is 10 cm wide, 10 cm, and 4 cm high. Its density is 1.000 g/cm3. It is being placed in salt water, which has a density of 1.025 g/cm3. So I guess what I'm asking is for a formula that will solve for s. I know that if I use a number substituting s, for example .50 (%50 submerged) that that will give me a buoyancy force of 205g. I'm trying to figure out how far the object will be submerged before the buoyancy force is equal to mass of the object. B = pfVos Where B is buoyancy force. pf is the density of the liquid the object is being placed in. Vo is the volume of the object. s is the percent of the object submerged in the liquid. pf = 1.025 g/cm3 Vo = 400 cm3 Click here to see answer by stanbon(57347)
 Question 388646: I've been having some problems acquiring a formula for finding how much of an object is submerged in water. I have an object that is 10 cm wide, 10 cm, and 4 cm high. Its density is 1.000 g/cm3. It is being placed in salt water, which has a density of 1.025 g/cm3. So I guess what I'm asking is for a formula that will solve for s. I know that if I use a number substituting s, for example .50 (%50 submerged) that that will give me a buoyancy force of 205g. I'm trying to figure out how far the object will be submerged before the buoyancy force is equal to mass of the object. B = pfVos Where B is buoyancy force. pf is the density of the liquid the object is being placed in. Vo is the volume of the object. s is the percent of the object submerged in the liquid. pf = 1.025 g/cm3 Vo = 400 cm3 Click here to see answer by Alan3354(30993)

 Question 388674: I need your help to write a formula for this question: A single taxpayer uses a tax rate schedule to calculate the amount of tax to pay on a federal income tax return. If the tax payer has an adjusted income over \$23,350, then the taxpayer must pay \$3,502 plus 28% of any amount over \$23,350. If the amount of adjusted income written as A and the tax if T, write the formula to find the tax. Thank you for your help I really appreciate it! Click here to see answer by jim_thompson5910(28595)
 Question 388674: I need your help to write a formula for this question: A single taxpayer uses a tax rate schedule to calculate the amount of tax to pay on a federal income tax return. If the tax payer has an adjusted income over \$23,350, then the taxpayer must pay \$3,502 plus 28% of any amount over \$23,350. If the amount of adjusted income written as A and the tax if T, write the formula to find the tax. Thank you for your help I really appreciate it! Click here to see answer by mananth(12270)

 Question 388843: Let a and b be any real numbers. Define a*b to be 2a+b. Which of the following is the largest? 1*(2*(3*4)) ((1*2)*3)*4 (1*(2*3))*4 They are equal Click here to see answer by stanbon(57347)

 Question 389129: In this subtraction problem, find the number represented by the answer xy. (each time a letter appears it represents the same digit. Different letters represent different digits.) x y z - z z _____ x y Click here to see answer by edjones(7569)

 Question 389128: I need an expression for the following ordered pairs: (1,1), (2,3). (3,6), (4,10), (5,15), ... Click here to see answer by richard1234(5390)

 Question 389434: X/3 + x+x+5= 40 PLease explain how to solve this, It would be a great hepl Thankyou Click here to see answer by Alan3354(30993)

 Question 389491: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks) Click here to see answer by MathLover1(6632)
 Question 389491: The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction. (Need a complete solution for this. Thanks) Click here to see answer by ptaylor(2048)

 Question 389615: if a number is multiplied by 7 amd the product is increased by 2 the result is 100, what is the number Click here to see answer by richard1234(5390)

 Question 389619: −20 = −4x − 6x Can someone please explaain in detail how to solve this it would be so helpfut thank you Click here to see answer by ankor@dixie-net.com(15652)
 Question 389619: −20 = −4x − 6x Can someone please explaain in detail how to solve this it would be so helpfut thank you Click here to see answer by josmiceli(9678)

 Question 389705: the larger of two numbers exceeds 6 times the smaller by 10. if the larger numberis 76 find the smaller number Click here to see answer by ewatrrr(10682)

 Question 389708: Dr.Cortez spent 30 minutes driving from home to the Seaview hospital. this was 12 minutes less than twice the time it took him to drive home. how long did it take him to drive home Click here to see answer by ewatrrr(10682)

 Question 389793: The height of an airplane is 7480ft at 9:06 A.M. and is 7035ft at 9:11 A.M. It's height is changing at a constant rate. A. Write an equation that gives the height of the plane(h) x minutes after 9:00 A.M. B. What is the slope? Explain its meaning(Include units). C What is the vertical intercept? Explain its meaning. Click here to see answer by mananth(12270)

 Question 389792: Joy can run an average speed of 1km every 5 minutes. Walking, she averages 1km every 12 minutes. A. After running for 45 minutes, she decided to walk the next 15 minutes. How far was she from her starting point? B. If Joy ran for R minutes and walked for W minutes and arrived at Lake Michigan 14 miles from her starting point,write and equation using R and W to express this situation. 1km=0.62 miles and 1 mile=1.61km Click here to see answer by ankor@dixie-net.com(15652)

 Question 390135: eight times a number equals 35 more than the number. find the number Click here to see answer by rfer(12660)

 Question 390344: 2(x-3)+4 Given value: -5 Please evaluate the expression for the given value of the variable. Click here to see answer by richard1234(5390)

 Question 390799: 2 (d - 3 ) - 5 d = 18 Click here to see answer by rfer(12660)

 Question 390746: The Walton Taxi company charges \$2.25 for each trip plus \$0.19 for every one-tenth mile. The Newtham Tax Company charges \$1.50 for each trip plus \$0.25 for each one-tenth mile. How much will a three-tenth mile ride cost with each company? Click here to see answer by rfer(12660)

 Question 390855: How would I solve this expression, it is from one of my classmates and I do not want to admit I am stumped! Thank you so much in advance!! Blaine 4-5x < 24 - 3x Click here to see answer by dnanos(83)

 Question 390979: Miss Baker is preparing chocolate icing for a cake. She has semi-sweet chocolate chips(25% cocoa) and baker's chocolate(65% cocoa), which she will combine to get a 16 oz. mixture of 50% cocoa. How many ounces of each type of chocolate will she use? Click here to see answer by ewatrrr(10682)

 Question 391013: An airplane flew for 8 hours at an air speed of x miles per hour, and for 7 more hours at 325 mph. if the average airspeed for the entire flight was 350 mph find x how would i do that Click here to see answer by Alan3354(30993)

 Question 391081: I have tried to work it out i just dont get it solving for y=mx+b y+6=-3x+(-3) Click here to see answer by checkley79(3050)

 Question 391101: Stephanie had a pile of dimes and quarters that had a value of \$6.75. If there were twice as many dimes as quarters, how y quarters did Stephanie have? Click here to see answer by nerdybill(6958)

 Question 390882: find two positive numbers so that twice their sum equals their product and one number is 9 times the other number Click here to see answer by ankor@dixie-net.com(15652)

 Question 391254: I am trying to figure out how to solve a problem. Its a word problem. It is--- The difference of the squares of two consecutive odd positive integers is 40. find the integers. I have tried X^2-(X^2+2)=40 but cant get it right. Am i even close? Click here to see answer by richard1234(5390)