Wednesday

July 23, 2014

July 23, 2014

Total # Posts: 1,493

**math**

recall that speed is distance travelled per unit time, or v = d/t since they are travelling towards each other, we add their speeds (since travelling towards each other consumes less time for them to meet than travelling in the same direction) substituting, v = d/t 610 + 618 =...

**MATH VERY URGENT!!!!!!**

first we observe that the motion of the ball is projectile and its trajectory (path followed by the ball) is shaped like a parabola. the horizontal distance travelled by the ball is thus given by: R = (vo)^2 * sin (2*theta) / g where R = range or the horizontal distance vo = i...

**science**

to get the heat released or absorbed, Q = mc(T2-T1) where m = mass of substance c = specific heat capacity T2 = final temperature T1 = initial temperature **note: if Q is (-), heat is released and if (+), heat is absorbed now we can only apply this to substances that did not c...

**MATH URGENT!!!!**

for (a), we substitute 17 to d in the equation for the height,h: h = -0.045d^2 + 2d h = -0.045*(17^2) + 2(17) h = 20.995 yards for (b), we are given the height and we need to find the horizontal distance. substituting, h = -0.045d^2 + 2d 8 = -0.045d^2 + 2d 0 = -0.045d^2 + 2d -...

**calculus**

observe that we can further simplify (|x+h|-|x|)/h to (x + h - x)/h (h)/h 1 rewriting, lim 1 as h->0 at x = 4 is equal to 1, since the limit of a constant is also equal to that constant. hope this helps~ :)

**Physical Science**

to get the heat released or absorbed, Q = mc(T2-T1) where m = mass of substance c = specific heat capacity T2 = final temperature T1 = initial temperature **note: if Q is (-), heat is released and if (+), heat is absorbed now we can only apply this to substances that did not c...

**chemistry **

assuming that the gas is ideal, we use the formula for ideal gases: PV = nRT where P = pressure (in atm) V = volume (in L) n = number of moles R = gas constant (0.0821 L*atm/mol-K) T = temperature (in Kelvin) we first convert the 26 degrees Celsius to Kelvin: 26 + 273.15 = 299...

**geometry**

since the lengths of sides of the flag are equal, the shape of the flag is a square. recall that the area of square is A = s*s where s = length of a side of square. substituting, A = 60*60 A = 3600 square cm hope this helps~ :)

**chemistry **

assuming that the gas is ideal, we use the formula for ideal gases: PV = nRT where P = pressure (in atm) V = volume (in L) n = number of moles R = gas constant (0.0821 L*atm/mol-K) T = temperature (in Kelvin) we first convert the 26 degrees Celsius to Kelvin: 26 + 273.15 = 299...

**MATH URGENT!**

first we observe that the motion of the ball is uniformly accelerated motion (because of acceleration due to gravity while it's in the air), thus we use this formula to find time: h = ho + vo*t - (1/2)*g*t^2 where ho = initial height vo = initial velocity t = time g = acce...

**geometry**

recall that area of trapezoid is A = (b1 + b2)*(h/2) where b1 and b2 are the bases of trapezoid h is the height substituting, 4 = (b1 + b2) * (1/2) 8 = b1 + b2 now we list two number whose sum is 8: 1 and 7 2 and 6 3 and 5 4 and 4 these are the possible lengths of bases. hope ...

**Math**

hmm,, recall that when we consider a parallelogram, we also consider square, rhombus, and rectangle (they are all parallelogram) now, let's analyze each choices: for (a), it's only true for a square. for (b), it's true for square and rectangle. for (c), it's tr...

**algebra**

do you mean, 13/18 divided by 20/27 ? if so, then we first get the reciprocal of the divisor (the second term; that is, 20/27) ,, thus its reciprocal is 27/20 (note that reciprocal is just interchanging the numerator and denominator) now the process becomes multiplication. to ...

**geometry**

first represent unknowns using variables: let x = length of rectangle let x-6 = width of rectangle (according to first statement of problem) now we set up equation,, since in the problem we are given the perimeter, we can use this to set up the equation,, recall that perimeter...

**math**

triple 4 means 3 times 4: 3 x 4 = 12 since we subtract 2 from 12 each day , we need to divide 12 by 2 to get the number of days needed to reach zero: 12 / 2 = 6 days hope this helps~ :)

**Math 8th Grade**

there are many possible answers here. one answer could be the length of longer = 14 m and shorter = 9 m it can also be longer = 18 m and shorter = 7 m .. i think you forgot an information in the problem,..

**Algebra **

yes

**Pre Algebra**

x: 0 1 2 3 y: 5 4 3 2 to get the function, we choose two points. let's just choose the first two points,, that is, point1 (0,5) and point2 (1,4) now, we get first the slope. the slope is given by the equation, slope = m = (y2 - y1)/(x2 - x1) where y1 = y-coordinate of poin...

**Geometry**

first, we represent the unknowns using variables: let x = number of 5-dollar bill since according to first statement, he has a total of 124 bills in 5 and 10, let 124 - x = number of 10-dollar bill now we set up the equation,, according to the second statement, the total value...

**chem**

first write the chemical equation: HCl + NaHCO3 -> NaCl + H2O + CO2 observe that it's already balanced. :) now we get the molar mass of NaHCO3 (sodium bicarbonate) and HCl (hydrochloric acid),, i expect you already know how to find molar masses. NaHCO3 : 23 + 1 + 12 + 3...

**chemistry**

recall that density is mass per unit volume, or d = m/V substituting, d = 100/200 d = 0.5 g/mL hope this helps~ :)

**chemistry**

recall that 1 mole = 6.022 x 10^23 atoms thus, 0.32 * (6.022 x 10^22) = 1.927 x 10^23 atoms hope this helps~ :)

**math**

always remember E.M.D.A.S. = Exponents, Multiplication, Division, Addition, Subtraction. this the order of which operation must be done first. here, of course we start with the operation inside the parenthesis: 5+(3x3-3)/2 5 + (9-3)/2 5 + 6/2 5 + 3 8 hope this helps~ :)

**math**

it means you will multiply 4/5 by 25,, thus 4/5 * 25 note that we can rewrite 25 as 25/1 (since any number divided by 1 is equal to itself),, rewriting, 4/5 * 25/1 to multiply fractions, we multiply numerator by numerator and denominator by denominator. note: numerator is the ...

**Chemistry**

Single Replacement Reaction~

**math**

note that a reflex angle is an angle greater than 180 degrees bu less than 360 degrees,, first, since the digits are factors of 8, we list all factors of 8: 1, 2, 4, 8 since the digits are even and are different, the digits of the reflex angle we're looking for are 2, 4 an...

**Math**

to do this, first we know that there are 18 ways for the first place (since there are 18 dogs), then 17 ways for the second place (18-1=17 since no dog can win two places), and 16 ways for the third. thus, we multiply these to get the number of ways: 18*17*16 = 4896 ways hope ...

**Math**

to do this, first we multiply the 1st terms or the number with no exponent (not the terms with 10 raised to an exponent). thus: 4.3*2 = 8.6 now we multiply the 2nd terms,, recall that if they have the same base (here, the base is 10) we can simply add the exponents: 10^3 * 10^...

**Math**

to get the total weight, we multiply them: 2x10^(-5) * 1x10^15 to do this, first we multiply the first terms or the terms with no raised exponent,, thus that would be the 2 and 1: 2 * 1 = 2 next we multiply the second terms or the 10 raised to exponent,, to do this, recall tha...

**Geometry**

to do this, we calculate both of the circles' circumference. the bigger circle has diameter of 26 in, while the smaller has diameter of 18 in. now recall that the circumference of a circle is given by C = 2*π*r or given the diameter, C = π*d where π = consta...

**math**

when an object is dropped from a certain height, it is a freefall. when in freefall, the only external force acting on the body is gravitational force (neglecting air resistance). the motion of the object is unformly accelerated motion: (v2)^2 - (v1)^2 = 2*g*h where v2 = final...

**math2**

first, we list the factors of each number,, 15: 1, 3, 5, 15 34: 1, 2, 17, 34 55: 1, 5, 11, 55 since the only common factor among them is 1, the greatest common factor (GCF) of the numbers is 1. hope this helps~ :)

**math**

first, we convert 9 Liters to milliliter,, recall that 1 L = 1000 mL, thus 9 L = 9000 mL now we divide 9000 by 90 to determine how many 90 mL-bottle she needs: 9000 / 90 = 100 bottles hope this helps~ :)

**chemistry**

you need a periodic table of elements. in the periodic table, you can find certain properties of elements and and also atomic number and atomic mass. since in the problem, we are required to calculate for molar mass of H2O, you look for H and O in the periodic table and get ea...

**Chemistry**

first write the balanced chemical equation: C3H8 + 5O2 -> 3CO2 + 4H2O **note: in combustion reaction of organic compounds, the usual products are carbon dioxide and water. then calculate for molecular weight of propane (the C3H8),, Carbon is 12 while H is 1: 3*12 + 8*1 = 44...

**physics urgent please **

an example of projectile motion would be the motion of the baseball when it is hit by the bat,, it the trajectory (the path followed by the object) has the shape like a parabola. projectile motion is possible because of gravity. about the velocity, since it followed a path tha...

**algebra **

domain is the set of all possible values of x, while range is the set of all possible values of y. for example, y = x^2 since any values of x can be substituted here, we say that the domain is all real numbers (zero, positive and negative numbers -- any number actually ) while...

**math**

x squared is usually typed like this: x^2 (means x raised to two) :) anyways, the given in y = x^2 - 6x - 8 and we need to find x when y = 1. thus we substitute y into the equation: y = x^2 - 6x - 8 1 = x^2 - 6x - 8 now to solve for x,, first we make one side of the equation e...

**Math**

we can also rewrite this (a+b)squared=64 as (a+b)^2 = 64 first we expand (a+b)^2 (a+b)^2 = 64 (a+b)(a+b) = 64 a^2 + 2ab + b^2 = 64 since we are given the value of ab, which is ab = 3, we can substitute it here: a^2 + 2(3) + b^2 = 64 a^2 + 6 + b^2 = 64 a^2 + b^2 = 64 - 6 a^2 + ...

**math**

that 'n' is actually the Greek letter π which is equal to 3.1416... but since in the problem π = 22/7 , we use this value. recall that the area of a circle is given by A = π*r^2 where r = radius substituting, A = π*(7^2) A = (22/7)(49) A = 22*7 A = ...

**Algebra**

since it's 30 by 30, the shape is a square. recall that the diagonal of a square is given by: diagonal = sqrt(s) where s = length of a side thus, the diagonal is sqrt(30) hope this helps~ :)

**math **

if the given sequence is a geometric sequence, then it follows the formula A,n+1 = r*(A,n) where r = ratio between two consecutive terms A,n = the nth term A,n+1 = the term after A,n substituting the first and second term, 40 = r*16 r = 40/16 r = 2.5 to check, let's see if...

**physics**

recall that pressure is force per unit area or P = F/A first of all, we convert 10 cm^2 to m^2 for consistency of units (since the unit Newton is actually kg*m/s^2),, therefore 10 cm^2 (1 m / 100 cm)^2 = 0.001 m^2 substituting, P = 180/0.001 P = 180000 kg/(m*s^2) = 180000 Pa (...

**math**

(fog)(x) = f(g(x)) = [g(x)]^2 (fog)(x) = [sqrt(x-3)]^2 note that the sqrt and ^2 will just cancel each other out: (fog)(x) = x - 3 to find its domain,, recall that domain is the set of all possible values of x,, since we both considered f(x) and g(x) here, we find the intersec...

**math**

(gof)(x) means you substitute the whole expression of f(x) to g(x): (gof)(x) = g(f(x)) = f(x) + 1 (gof)(x) = x + 1 for #2, we do the same,, we substitute f(x) to f(x): (fof)(x) = f(x) (fof)(x) = x hope this helps~ :)

**math**

first we can actually substitute f(x) by y, thus f(x) = 3 - 5x y = 3 - 5x to get the inverse, interchange the x and y variables,, thus x = 3 - 5y now, we solve for y: x = 3 - 5y x - 3 = -5y y = -(x-3)/5 then we substitute back f(x) to y, but this time since we get its inverse,...

**math**

(fog)(x) means you substitute the whole function of g(x) into the f(x),, we can actually rewrite this (fog)(x) as f(g(x)) --- i think this one is clearer. now let's substitute g(x) to f(x): (fog)(x) = f(g(x)) = 3x-5 = 3[g(x)] - 5 (fog)(x) = 3(2 - x^2) - 5 (fog)(x) = 6 - 3x...

**Chemistry**

to get the heat released or absorbed, Q = mc(T2-T1) where m = mass of substance (units in g) c = specific heat capacity (units in J/g-K) T2 = final temperature T1 = initial temperature **note: if Q is (-), heat is released and if (+), heat is absorbed now we can only apply thi...

**math**

recall that the area of a triabgle is given by A = (1/2)*bh where b = base h = height substituting, A = (1/2)(b)(12) A = 6b hope this helps~ :)

**Matt 116 Algebra**

what about y = 45x + 12 ? do you need to graph it ? or solve for x in terms of y ?

**math**

to solve this you divide 4.7 by 1, then multiply by 100: 4.7/1 * 100 4.7 * 100 = 470% hope this helps~ :)

**math**

4*3*2 = 24

**Algebra 1A**

i suppose this means that (17,8) is a point on the graph or a solution to the equation,, if so, it means we need to find for the slope, m. substituting the x- and y-coordinate to the equation: y = mx - 16 8 = m(16) - 16 8 + 16 = 16m 24 = 16m 24/16 = (16/16)m 3/2 = m rewriting ...

**math**

recall that the volume of a cylinder is given by V = pi*r^2*h where r = radius h = height substituting, V = pi*(8^2)*(7) V = 3.14*64*7 V = 1407.43 cubic km hope this helps~ :)

**math**

your answer is correct. :)

**english**

the verb is: resumed

**Algebra**

2a - b = ac + 3b to get a, first we need to transpose all terms containing a to one side of equation, and all other terms to the other side,, in this case the terms containing a are 2a and ac. let's just transpose them to the left side of equation,, since ac is on the righ...

**math algebra**

do you mean something like this: [2(a^10)(b^2)][3(a^2)(b^2)] if so, then for constants, we just multiply them normally,, for the variables, recall some laws of exponent,, multiplying terms of same base is also equal to base raised to sum of its exponents,, for example 5^2 * 5^...

**math**

recall that area of square is A = s*s where s = length of a side of square therefore, substituting the given area: 36 = s*s 36 = s^2 get the squareroot 6 = s thus the length of side of square is 6 units. hope this helps~ :)

**algebra**

4xx - 36 can also be written as 4x^2 - 36 to factor this, notice that 4x^2 and 36 are both perfect squares (meaning they have an exact squareroot),, and 4x^2 - 36 is a difference of two squares. recall that if an expression is in the form (a^2 - b^2) it can also be written as ...

**Math**

first recall that perimeter of a rectangle is P = 2(L+W) where L = length W = width substituting, 12 = 2(L+W) 6 = L+W now we need to find for positive, nonzero integers whose sum is 6,, the possible values are: L=5 and W=1 L=4 and W=2 L=3 and W=3 (this is a square but note tha...

**math**

recall that the equation of a circle is given by (x-h)^2 + (y-k)^2 = r^2 where h = x-coordinate of the center k = y-coordinate of the center r = radius since in the problem, the center lies at (-8, -4) we have h = -8 k = -4 also, we need to solve for the radius from the circum...

**geometry**

recall that the area of rhombus is just A = b*h where b = base and h = height we already have the base, which is 5 cm. we need to find for the height,, to get this, observe that if we draw the rhombus and draw a broken line representing the height, we see that a right triangle...

**Pre calc**

first we can transpose the - lnx to the right side of equation, 0.5 ln (x+3) = ln x recalling some laws of exponents, we can rewrite 0.5 ln (x+3) as ln (x+3)^0.5 therefore ln (x+3)^0.5 = ln x now we can equate the terms inside the ln: (x+3)^(1/2) = x square both sides: x+3 = x...

**Algebra**

note that we can rewrite the squareroot of a number by raising this number by 1/2 example, sqrt(5) = 5^(1/2) therefore in the problem we have sqrt(14abc) = (14abc)^(1/2) = [14^(1/2)][a^(1/2)][b^(1/2)][c^(1/2)] sqrt(2ab) = (2ab)^(1/2) = [2^(1/2)][a^1/2][b^1/2] now for the varia...

**science**

recall that density is mass per unit volume, or d = m/V thus you need mass of the wooden block, and its volume,, to get mass you can use appropriate weighing scale and for the volume, you can measure its length, width and height since the volume of a rectangular solid (this is...

**math**

to find the slope of the line, we transform this given equation in the form, y = mx + b where m = slope and b = y-intercept thus for (1) 7x + 13y = 91, we first divide all term by numerical coefficient of y (which is 13) to get y alone: (7/13)x + (13/13)y = 91/13 (7/13)x + y =...

**trig**

recall that cos x = sin (90-x) 90-x = 90-54 = 36 thus cos 54 = sin 36 hope this helps~ :)

**math**

to round a number to the nearest thousands: first find the digit in the thousands place, then look at the number to the right of the thousands place,, if this number is greater than or equal to 5, add 1 to thousands place; less than 5, thousands digit remains the same in the p...

**math**

253

**maths**

to get the solution/roots, we can use quadratic formula: x = [-b +- sqrt(b^2 - 4ac)]/(2a) where a = numerical coefficient of x^2 b = numerical coefficient of x c = the constant in the problem, x^2+5x-6 = 0, thus a = 1, b = 5, c = -6 substituting: x = [-b +- sqrt(b^2 - 4ac)]/(2...

**maths**

discriminant is b^2 - 4*a*c where a = numerical coefficient of x^2 b = numerical coefficient of x c = the constant in the problem, 4x^2-x-3, thus a = 4, b = -1 and c = -3 substituting (-1)^2 - 4(4)(-3) 1 - (16)(-3) 1 + 48 49 hope this helps~ :)

**math**

let r = radius of cylinder when you draw a sphere that fits exactly inside a cylinder, you will observe that radius of cylinder = radius of sphere, and height of cylinder = diameter of sphere recall that surface area of sphere = 4*pi*r^2 and lateral surface area of cylinder = ...

**chemistry**

assuming the gas is ideal, we can use the formula: P1*V1 = P2*V2 where P1 = initial pressure V1 = initial volume P2 = final pressure V2 = final volume substituting: 735 * 100 = 700 * (V2) V2 = 105 mL hope this helps~ :)

**science**

assuming the Hydrogen gas is ideal, we can use the formula: (V1)/(T1) = (V2)/(T2) where V1 = initial volume T1 = initial temperature (units in Kelvin) V2 = final volume T2 = final temperature (units in Kelvin) since the given temp are in degree Celsius, we first convert it to ...

**chemistry**

assuming the gas is ideal, we can use the formula: P1*V1 = P2*V2 where P1 = initial pressure V1 = initial volume P2 = final pressure V2 = final volume substituting: (0.935)(1.44) = (P2)(0.275) P2 = 4.896 atm hope this helps~ :)

**chemistry**

assuming the gas is ideal, we can use the formula: (V1)/(T1) = (V2)/(T2) where V1 = initial volume T1 = initial temperature (units in Kelvin) V2 = final volume T2 = final temperature (units in Kelvin) since the given temp are in degree Celsius, we first convert it to Kelvin by...

**for the 2nd question**

let x = number according to the first statement, we multiply the number by three, then we add 7 to get 16,, writing in equation: 3x + 7 = 16 now solve for x,, first we transpose the 7 on the other side of equation,, to do this we change its sign from positive to negative: 3x =...

**algebra 1**

first represent the unknowns using variables: let x = number of 24-cent stamps used let 2x = number of 39-cent stamps used (according to the second statement) since the total is 7.14 dollars, 0.24x + 0.39(2x) = 7.14 now we solve for x: 0.24x + 0.78x = 7.14 1.02x = 7.14 x = 7 (...

**30-60-90**

the opposite angle of the shorter leg is the smaller angle (which is the 30 degrees) since in a 30-60-90 triangle, the hypotenuse is twice the shortest side, and the longer leg is sqrt(3) times the shortest side: hypotenuse: 2*5.4 = 10.8 ft longer side: sqrt(3)*5.4 = 9.353 ft ...

**algebra 2**

since when this is drawn it forms a right triangle, we use pythagorean theorem: c^2 = a^2 + b^2 where c = hypotenuse a and b are base and height of the triangle therefore: c^2 = 14^2 + 21^2 c = sqrt (196 + 441) c = 25.24 ft hope this helps~ :)

**math**

since AF is the perpendicular bisector of BD, therefore BF=FD. since DF=FD=13, BF=13 now, if you draw this figure, you will see that you form a right triangle (AFD) when you connect A and D,, connecting A and B, you form another right triangle,, since they share a common heigh...

**math**

first convert 5 mm to cm recall that 10 mm = 1 cm thus 5 mm = 1/2 cm = 0.5 cm then we subtract the thickness by the outer diameter: 41 - 2*0.5 41 - 1 = 40 cm hope this helps~ :)

**math**

-35 / 5 = -7

**algerbra**

but i don't see any division operation,, it's only subtraction...

**Math**

note: 1 dozen = 12 cookies,, thus 3 dozen = 3*12 = 36 cookies let x = cups of sugar needed we use ratio and proportion: 20 : (1/4) = 36 : x we can rewrite this into fraction form: 20/(1/4) = 36/x we then cross multiply,, 20*x = (1/4)*36 20x = 9 x = 9/20 cups hope this helps~ :)

**Math**

to get the resultant or the total distance, we use distance formula: d = sqrt[ (x2-x1)^2 + (y2-y1)^2 ] where (x1,y1) is our reference/starting point, and (x2,y2) is the final point assuming our reference point is at the origin which is at (0,0) d = sqrt[ (x2)^2 + (y2)^2 ] subs...

**stoichiometry**

first, make sure the equation is balanced,, to determine which is limiting, we calculate the amount of product produced by each given: for 6 mol N2: 6 mol N2 * (2 mol NH3 / 1 mol N2) = 12 mol NH3 for 12 mol H2: 12 mol H2 * (2 mol NH3 / 3 mol H2) = 8 mol NH3 (a) since H2 produc...

**stoichiometry**

**i reposted this** first, make sure the equation is balanced,, to determine which is limiting, we calculate the amount of product produced by each given: for 6 mol N2: 6 mol N2 * (2 mol NH3 / 1 mol N2) = 12 mol NH3 for 12 mol H2: 12 mol H2 * (2 mol NH3 / 3 mol H2) = 8 mol NH3...

**Pre Calc**

oh yeah,, sorry about that. 0 is also a solution~ thanks for correcting me, sir~ :)

**Pre Calc**

recall that tan(x) can be rewritten as tan (x) = sin (x) / cos (x) substituting: sin(x) / cos(x) = 5 sin(x) the sin(x) will be cancelled: 1/cos(x) = 5 cos(x) = 1/5 solving this, x = +/- 1.369 since it must be on interval -π < x < π x = - 1.369

**math**

6n^2-19n+15=0 to solve this we can either factor it (if it's factorable) or use quadratic formula,, here we just use quadratic formula: for a given quadratic equation, ax^2 + bx + c = 0, x = [-b +- sqrt(b^2 - 4*a*c)]/(2*a) note: +- is plus or minus where a = numerical coef...

**math**

to get the fractional part of girls, we first subtract 35 from 80 to get the number of girls: 80 - 35 = 45 then we divide this by the total, which is 80: 45/80 reduce to lowest term by dividing both numerator and denominator by the GCF (greatest common factor) which is 5: 45/5...

**geometry**

recall that the volume of rectangular prism is given by V = L*W*H where L=length, W=width, H=height substituting the given: V = 2*3*5 V = 30 cubic cm recall that the surface area of rectangular prism is given by SA = 2LH + 2WH + 2LW substituting the values: SA = 2*2*5 + 2*3*5 ...

**math**

by observation, we see that a given value of x is 2 greater than its corresponding value of y,, since it's fixed (or the difference between the values is constant), we say that the relationship between them is linear. getting the equation, we first find the slope of the li...

**math**

y = x - 4 to get y, just plug in each given value of x,, if x = 4, y = 4 - 4 = 0 if x = 0, y = 0 - 4 = -4 if x = -4, y = -4 - 4 = -8 if x = -6, y = -6 - 4 = -10 hope this helps~ :)

**chemistry**

to find the mass percentage of one component, you divide the its mass to the total mass * 100 for example, if you have initially 20 grams of Na and 30 grams of Fe, total mass = 20 + 30 = 50 if we want to find mass percentage of Na: (20/50) * 100 = 40% for mass percent of Fe: (...

**math**

your answer, 48<32, is correct (i mean, yes it's false),, hmm i don't see another statement which is false~

**Math**

6/8 = 3/4 since a circle has 360 degrees (central angle), we get 3/4 of 360: (3/4)*360 = 270 degrees hope this helps~ :)

**math**

let x = number of gallons the when tank is full according to first statement, initially the tank is 1/5 full. thus we can write it as (1/5)x according to second statement, he bought 6 gallons, thus we add 6 to the initial amount, and it becomes 7/10 full or (7/10)x rewriting u...

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