Set up an equation and solve. A student has 8 liters of a 10% alcohol solution. How much pure alcohol should the student add if a 30% alcohol solution is required?

Q: Jake gets $10.50 each week for doing yard work for his neighbors. He has earned $63 so far. Write…

A:

Q: 6. Alexander is going to an amusement park. The price of admission into the park is $15, and once he…

A:

Q: A recipe for muffins calls for 10 cups of sugar. Daniel has already put in 2 cups. How many more…

A: Given that A recipe for muffins calls for 10 cups of sugar  Number of cups Daniel has already =2 To…

Q: Mary invests $100,000 in two certificates of deposits. One pays 6% and the other pays 412% simple…

A: Given: Total money Mary have invest= $100,000

Q: Show your formula and solution

A: We will check if it is a function

Q: The cost for four archery lessons is $84 and the cost for 8 lessons is $160. Write and solve an…

A: see below the answer and explanation

Q: The width of the rectangle is half of its length. If the perimeter of the rectangle is 60 cm. Write…

A:

Q: 3) Gianni paid a fee of $80.75 to join a basketball clinic. The monthly fee after joining is $34.50…

A:

Q: Solve the equation. e4x+4e2x-21=0

A: Let us suppose y = e2x, substitute the value of y in the given equation:

Q: When I think of a number, triple it, then add 3, I get 33. Form an equation and solve to find the…

A:

Q: Mentally solve the equation. 7x = 21

A: Consider the equation: 7x=21  ……1

Q: Solve the equation

A: we have solve the equation:

Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the…

A: Given query is to find the sides of the triangle.

Q: Solve the equation. e4x + 4e2x - 21 = 0

A: A quadratic equation of the form x2+ax+bx+ab can be factored as (x+a)(x+b). For a factored quadratic…

Q: Translate into an equation and solve. Seven less than a number is thirty-four. Find the number

A: Given  Seven less than a number is thirty-four. Find the number.

Q: You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per…

A: According to question

Q: set up an algebraic equation and solve each problem. The total value of a house and a lot is…

A: We have given that the total value of a house and a lot is $168,000.Also given that : value of the…

Q: solve the equation, check your solution 5x-10/6 +x/30=x/5-1

A:

Q: Solve each by setting up and solving an appropriate equation. Marcela has a collection of nickels,…

A: Let the number of nickels, dimes and quarters are denoted by x, y, z respectively. According to the…

Q: solve each equation. s2 - 4s = 21

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: set up an equation and solve each problem. Find two consecutive integers whose product is 72.

A: Let the number are x and x+1 xx+1=72⇒x2+x=72⇒x2+x-72=0⇒x-8x+9=0

Q: set up an equation and solve each problem. Find two integers whose sum is 2 and whose product is…

A: Find two integers whose sum is 2 and whose product is -48.

Q: write an equation whose solution is the given quantity. Then, solve for the appropriate quantity.…

A: Here we use the algebra.

Q: Write an equation and then use it to solve: For 15 weeks, Sue put the same amount of money in a jar.…

A: Let Sue put $x each week in the jar for 15 weeks. So there will be total $(15x) in the jar. Then she…

Q: set up an equation and solve each problem. Larry’s time to travel 156 miles is 1 hour more than…

A: Larry’s time to travel 156 miles is 1 hour more than Terrell’s time to travel 108 miles. Terrell…

Q: set up an equation, and solve the problem. It takes Meredith 7 hours to clean an office building,…

A: Meredith takes  7 hours to clean an office building, Otis can clean the same office building in 5…

Q: Solve the equation. X 15.4 = 4.5

A: From the basic Division

Q: Translate the sentence into a equation and solve   the sum of one-fifth p and 38 is as much as…

A: Given that the sum of 1/5th p and 38 is as much as twice

Q: 2х 740 3x-6

A: We know that, ax-b=c or, ax=c+b or, x=(c+b)/a

Q: set up an equation and solve each problem. Find three consecutive integers such that the product of…

A: Consider the three consecutive integers as x,  x+1  and  x+2. Given that the product of the smallest…

Q: Solve the equation: m2+1m=0

A: Given equation is:

Q: Solve each equation.  C-4/4 = c-4/8

A: Assuming the given the equation:

Q: There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven…

A: Extra charge = $0.50 per mile Total miles travelled = 48 miles Total cost = $64

Q: Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half…

A: Given:-  Stanley is building a rectangular fence with 44 feet offencingLet length of rectangle =…

Q: Solve the equation

A: 5x=2x-3

Q: Solve each by setting up and solving an appropriate equation. Carolyn has 19 bills consisting of…

A: Carolyn has 19 bills consisting of ten-dollar bills, twenty dollar bills, and fifty-dollar bills.…

Q: solution:

A: Given,          (D4+6D3+9D2)y=0            ...(1)

Q: Classify the equation as having one solution, no solution, or infinite solutions. 6x - 2x+ 5 = 4 +…

A: The given equation is:6x-2x+5=4+4x+1we need to check its solutions.

Q: 12x - 2 5x+10

A:

Q: Solve the variable for the exact and approximate for solution   15e-3x-4=30

A: Given equation e-3x-4=30/15=2 Applying logarithm on both sides (-3x-4)ln(e)=ln(2) -3x-4=ln(2)…

Q: 2. ) At their going-out-of-business sale, Bill's Bikes sold 39 bikes and had 52 left. How many bikes…

A:

Q: Solve the equation. x*+1,296 = 0

A: Topic- root of complex equation

Q: solve the equation x2=42

A: Given: x2=42 To find: Solve for x.

Q: Solve the equation. |5x| = 20

A: Given 5x=20

Q: Solve the formula for the variable t h= 64t-16t^2

A: Please refer the attached image for complete solution.

Q: Suppose you have 30 CDs.  You know that you have 11 more than your friend.  Write and solve an…

A:

Q: Solve the equation: x? +2a x - a|– 3a? = 0, if a <0.

A:

Q: Solve for the unknown variable. et2 = e4t-3

A: Given that,  et2 = e4t -3 To solve that for the unknown variable

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.