Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

Tutors Answer Your Questions about Distributive-associative-commutative-properties (FREE)

Question 1130031: hello I am in 11th grade and I was wondering in relation to the formula y=a(x-h)2+k how can I find A .

Click here to see answer by josgarithmetic(39613)

Question 1130255: use associative property of addition
(8x+4y)+8z
Click here to see answer by Alan3354(69443)

Question 1132679: In a four digit number, the sum of the thousands and the hundreds digits is 3. The tens digit is four times the hundreds digit. The ones digit is seven more than the hundreds digit. no two digits are equal. What is the four digit number?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133013: What is the greatest possible sum that can result from
BAD+MAD+DAM if different letters represent different digits chosen from 1, 3, 8 and 9?
Click here to see answer by Theo(13342)

Question 1133067: A jeweler has five rings, each weighing 18grams, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 60%. How much silver should he add?
Click here to see answer by Boreal(15235)

Question 1133075: Elisha drives 20 miles per hour slower than Casandra. They started at the same spot, and drove in opposite directions. After 4.6hours, they were 386.4miles apart. Find each car’s speed.
Click here to see answer by ikleyn(52754)

Question 1133074: A car leaves a town at 70kilometers per hour. How long will it take a second car, travelling at 115 kilometers per hour, to catch the first car if it leaves 1hour later?
Click here to see answer by ikleyn(52754)

Question 1133066: A jeweler has five rings, each weighing 18grams, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 60%. How much silver should he add?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133076: A biologist has been observing a tree’s height. 12 months into the observation, the tree was 17.74 feet tall. 18months into the observation, the tree was 18.76 feet tall Let 𝑥be the number of months passed since the observations started, and let 𝑦be the tree’s height at that time. Use a linear equation to model the tree’s height as the number of months pass.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133123: 8x-36x+36

8x-36x+36
Click here to see answer by Alan3354(69443)

Question 1133180: Consider the function f(x) = 2x + 5 √x^2-1 (x^2-1 is all under the squareroot).
Find f(5), f(a), f(x + h).
Click here to see answer by Boreal(15235)

Question 1133186: Determine if limx→0 f(x) exists. Is the function continuous at x = 0?
f(x) =
−x + 1 if x ≤ 0
2x + 3 if x > 0
(it is a piecewise function)
Click here to see answer by greenestamps(13195)

Question 1133183: Provided f(x) = √x+2 (under whole squareroot) and g(x) = x / x + 1
Find (f ◦ g)(3) and (g ◦ f)(3).
Click here to see answer by MathLover1(20849)

Question 1133181: When a person stubs their toe the amount of pain they feel t minutes after the
incident follows the equation S(t) = 3t + 1 / t^2.
(a) What is the domain of this function?
(b) Does the domain make practical sense, why or why not?
Click here to see answer by MathLover1(20849)

Question 1133903: 5(x+6)-6
Click here to see answer by MathLover1(20849)

Question 1134085: Fully factor 36(2a^2-3)^2 - 44(2a^2-3) - 15
Click here to see answer by Alan3354(69443)

Question 1134601: 6+7=7+6
Click here to see answer by MathLover1(20849)

Question 1135167: Simplify the expression. Explain each step.
3.2+(x+5.1)

Click here to see answer by 956007783(1)

Question 1135410: Substitute the given values into the given formula and solve into the given formula and solve for the unknown variable. (If necessary round to one decimal place).

V= 1/3 MR2 h; V=527.5m=3.14, r=b
(Volume of a cone). H =

Click here to see answer by MathLover1(20849)

Question 1135747: Use one or more properties to rewrite the expression as an expression that does not use parentheses ( w.12).3
Click here to see answer by MathLover1(20849)

Question 1137075: Using the Greatest Common Factor, What is 45a^3+27a?
Click here to see answer by MathLover1(20849)

Question 1137075: Using the Greatest Common Factor, What is 45a^3+27a?
Click here to see answer by Alan3354(69443)

Question 1137733:
Click here to see answer by math_helper(2461)

Question 1138306: PLEASE SHOW ME HOW TO APPLY THE DISTRIBUTIVE PROPERTY TO FACTOR OUT THE GREATEST COMMON FACTOR OF ALL THREE TERMS 9-12X+6Y=
Click here to see answer by MathLover1(20849)

Question 1138305: What is the value of the expression below when a is 3, b is 25, and c is 5?
1/2(3a+4b+c)-(c2+5a)
Click here to see answer by ikleyn(52754)

Question 1139203: How many three-letter codes can we make using only vowels, a, e, i, o, or u?
Click here to see answer by ikleyn(52754)

Question 1139392: I'm having a hard time figuring this out. I have read book after book about taxes and cannot find how to solve it. Can someone help me?
If you earn $75,000 this year and have deductions of $18,000, what is your taxable income?
Click here to see answer by ikleyn(52754)

Question 1139393: Does anyone know how to answer this question? I do not understand it. Thank you.
If prices increase 2% each year for 10 years, then a jacket that costs $90 today will cost $109.71 in 10 years. What is the percentage decrease in the buying power of currency over the 10-year period?
Click here to see answer by MathLover1(20849)

Question 1139404: Hi can you please show me how to solve this? I have watched videos and looked it up online and still get the answer wrong. Thank you.
Suppose there is a group of seven people from which we will make a committee.
In how many ways can we pick a five-person committee?
Click here to see answer by algebrahouse.com(1659)

Question 1139405: I have a statistics question. Please help. Thanks.
There is a group of five people from which a committee will be made.
How many ways can we pick a three-person committee?
Click here to see answer by algebrahouse.com(1659)

Question 1139390: Hi I hate to bother you all again but this question is really making me stuck. I understand how to come up with minimum payments and finance charges after you decide to stop charging but what about if new charges have been made?
Assume that you start with a balance of $5000 on your MasterCard. Assume that MasterCard has finance charges of 16% APR and that each month you make only the minimum payment of 3% of the balance. During the first month, you charge $350, and during the second month, you charge $500. Complete the following table. (Round your answers to the nearest cent.)

Month 1---Previous Balance Min Payment Purchases Finance charges New Balance
______________ ___________ _________ ______________ ___________
Month 2--- ______________ ___________ _________ ______________ ___________
Click here to see answer by MathLover1(20849)

Question 1139384: Hello I have a question about trying to find the finance charge. I could not figure out how to do it right.
The previous statement for your credit card had a balance of $690. You make purchases of $160 and make a payment of $70. The credit card has an APR of 21%. What is the finance charge for this month? (Round your answer to the nearest cent.)
Click here to see answer by greenestamps(13195)

Question 1139385: Could someone please help me with this math problem? I have been trying to get the right answer myself and it comes up wrong. Thank you.
You have a credit card with an APR of 36%. The minimum payment is 10% of the balance. Suppose you have a balance of $750. You decide to stop charging and make only the minimum payment. Calculate the minimum payment for the first and second payments.
Click here to see answer by greenestamps(13195)

Question 1139409: Hi first of all I want to say thank you to the tutors who have helped me so far. You all are lifesavers and I do not know what I would do without your help and this site.
I am having trouble figuring out the answer for an annuity. Can anyone help me please?
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4400 per month. You have access to an account that pays an APR of 7.2% compounded monthly.
What size nest egg do you need to achieve the desired monthly yield?
Click here to see answer by Theo(13342)

Question 1139406: This does not have anything to do with algebra but it is driving me nuts trying to figure out the solution. I even used a TVM calculator and still got it wrong.
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4400 per month. You have access to an account that pays an APR of 7.2% compounded monthly.
What size nest egg do you need to achieve the desired monthly yield?
Click here to see answer by ikleyn(52754)

Question 1139382: Hi I have been trying and trying to find out this answer on my own and I just can't figure it out. Will someone help me solve this please?
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4400 per month. You have access to an account that pays an APR of 7.2% compounded monthly.
What size nest egg do you need to achieve the desired monthly yield?
Click here to see answer by rothauserc(4718)

Question 1139895: Hi can someone help me solve this please? I got the first answer right on figuring out how many possible combinations of numbers there were on the lock but I am struggling with figuring out the answers to b and c. Thanks.
My combination bicycle lock has four wheels, each of which has the numbers 0 through 13. Exactly one combination of numbers (in order) on the wheels (7-2-10-6, e.g.) will open the lock.
How many possible combinations of numbers are there on my bicycle lock?

(b) Suppose that I have forgotten my combination. At random I try 1-2-3-4. What is the probability that the lock will open with this combination? (Enter your probability as a fraction.)

(c) Out of frustration I try at random 25 different combinations. What is the probability that 1 of these 25 efforts will open the lock? (Enter your probability as a fraction.)

Click here to see answer by ikleyn(52754)

Question 1141119: Hi Can someone please help me solve this?
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $5000 per month. You have access to an account that pays an APR of 6.0% compounded monthly. This requires a nest egg of $776,034.32.
What monthly deposits are required to achieve the desired monthly yield at retirement?
Click here to see answer by Theo(13342)

Question 1142142: Use the distributive property to remove the parentheses.
-8(-2u^2+3-2w^3)
Click here to see answer by Alan3354(69443)

Question 1142224: find four consecutive odd integers such that the sum of the first three exceeds the fourth by 18
I am getting 9, ll, 13, and 15. My math teacher is getting -9, -9, -5, and -3. Who is correct?
Click here to see answer by josgarithmetic(39613)

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, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500