Tutors Answer Your Questions about Equations (FREE)
Question 1163800: Please verify that my son has solved the x in the two equations below and that he has correctly verified the solutions.
Equation 1
5(x-3) +(2(3-x) = 12
5x - 15 + 6 - 2x = 12
5x - 2x - 15 + 6 = 12
3x -9 = 12
3x -9 + 9 = 12 + 9
3x = 21
x = 7
Solution
5 (7-3) + 2 (3 -7 = 12
5(4) + 2 (-4) = 12
20 + -8 = 12
12 = 12
Equation 2:
18 - (x+3) - 2x = 4 + (x-5)
18 - x +3 - 2x = 4 + x-5
-x - 2x +18 + 3 = 4 + x-5
-3x +21 = 4 + x-5
-3x - x + 21 - 21 = x - x + 4 -5 -21
4x = -22
x = -5.5
Solution:
18 - 5.5 + 3 -2(-5.5) = 4 + -5.5 -5
18 - 2.5 + 11 = 4 + -5.5 - 5
18 - 11 - 2.5 = 4 + -5.5 - 5
4.5 = -6.5
Notice on the 2d solution, cannot get it to equal or balance - please verify if Equation 1 and solution is correct.
On 2d equation, please verify the correct equation and solution for it.
Thank you very much for your assistance.
Click here to see answer by greenestamps(13198)  |
Question 1163805: Could someone show me how to solve the below equation step by step - I am doing something wrong and cannot get it to come out correctly where it the solution can verify:
18 - (x+3) - 2x = 4 + (x-5)
Thank you in advance
Click here to see answer by Alan3354(69443)  |
Question 1163805: Could someone show me how to solve the below equation step by step - I am doing something wrong and cannot get it to come out correctly where it the solution can verify:
18 - (x+3) - 2x = 4 + (x-5)
Thank you in advance
Click here to see answer by ikleyn(52776)  |
Question 1163834: Are the 3 below written correctly in Algebraic symbols?
Three more than the sum of x and y = x+y=3
c subtracted from the sum of x and y = x+y=c
If one addend of x is c, what is the other addend? b
Please verify if these 3 word problems above have been written in correct Algebraic symbols?
Thank you
Click here to see answer by Alan3354(69443)  |
Question 1163883: The total mass of a mixture of two liquids is 2.4 kg and the total volume is 1000 cm³ if 1cm³ of one of the liquids weighs 2 grams and 1 cm³ of the other liquid weighs 3 grams what volume of each liquid is present and what mass of each liquid is present.
Click here to see answer by htmentor(1343)  |
Question 1163883: The total mass of a mixture of two liquids is 2.4 kg and the total volume is 1000 cm³ if 1cm³ of one of the liquids weighs 2 grams and 1 cm³ of the other liquid weighs 3 grams what volume of each liquid is present and what mass of each liquid is present.
Click here to see answer by ikleyn(52776)  |
Question 1163878: According to statistics, a person will devote 33 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the lifetime, how many years will the person spend on each of these activities
Click here to see answer by Theo(13342)  |
Question 1163908: A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 19 minutes.
a) What equation can you use to find the distance of the flowerbed from the hive?
b) How far is the flowerbed from the hive?
c) Write the equation. Let D be the distance of the flowerbed from the hive.
(** Use integers or fractions for any numbers in the equation. Do not simplify.)
Click here to see answer by ikleyn(52776)  |
Question 1163908: A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 19 minutes.
a) What equation can you use to find the distance of the flowerbed from the hive?
b) How far is the flowerbed from the hive?
c) Write the equation. Let D be the distance of the flowerbed from the hive.
(** Use integers or fractions for any numbers in the equation. Do not simplify.)
Click here to see answer by greenestamps(13198)  |
Question 1163925: A rocket beigns from rest and accelerates upward at +0.5m/s^2.
a) At what time will the rocket reach a height of 1000 m?
b) What will be the rocket's velocity at that point?
**BTW the answer for part a is supposed to be 63 s and the answer for part b is supposed to be +32m/s... could you show me the appraoch to getting to those answers! thanks
Click here to see answer by htmentor(1343)  |
Question 1163924: At a baseball game, the batter hits the baseball straight up at an initial velocity of +42m/s.
A) at what time will the ball reach its highest point
b) what will be the maximum height the ball reaches
BTW the answer is about 4.3 secs for part a and 90 m for part b.. i dont know how to solve it --- would like to see your steps. THANKS!!
Click here to see answer by Alan3354(69443)  |
Question 1164033: The carpenter below saws a board into two pieces. He wants one piece to be 2 feet longer than twice the length of the shorter piece. Find the length (in ft) of each piece.
14 ft
A carpenter is sawing a board into two pieces of different size. The length of the entire board is 14 ft. The length of the smaller piece is labeled x.
smaller value
ft
larger value
ft
Click here to see answer by Theo(13342)  |
Question 1164075: Find the Slope of the roof
A house is shown with a roof that slants up and right, changes direction at the center of the house, and slants down and right. The vertical height of the roof is labeled 9 ft. The horizontal distance of the roof is labeled 72 ft.
Click here to see answer by josgarithmetic(39616) |
Question 1164125: Mark needed to empty his backyard pool. When he started, the pool contained 80 000 L of water. After sixty minutes it contained 72 500 L of water; after ninety minutes it contained 68 750 L of water; and after three hours it contained 57 500 L of water. When will his pool be
empty?
Click here to see answer by ikleyn(52776)  |
Question 1164164: a boy jumps from a diving board at the pool. The board is 1.5 meters above the surface of the water. He bounces up in the air and then fall dowsn into the water. Exactly 2.0 seocnds pass from the time the boys' feet leave the baord to the time his feet hit the water
A) find the initial velocity
B) find the final velocity upon reaching the water
also answer to part a is +9.1m/s and answer to part b is -10.6m/s could you show me the approach
Click here to see answer by Alan3354(69443)  |
Question 1164263: Three types of ticketts for a concert, type A at £75, type B at £55 and type C at £30. There are three times as many of type B sold compared to type A. In total 23000 tickets are sold making revenue of £870,000. How many of each type ticket are sold.
Im presuming A=3B in any equation.
Click here to see answer by ikleyn(52776)  |
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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, 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