Solve the problem by setting up and solving an appropriate algebraic equation. A pharmacist has an 8% solution of cough syrup and a 12% solution of the same cough syrup. How many ounces of each must be mixed to make 16 ounces of a 10% solution of cough syrup?

Q: use an algebraic approach to solve each problem. One-half of a number plus three-fourths of the…

A: Given:one half of a number + three fourths of the number =2 + 43 of the number

Q: The campus bookstore sells graphing calculators for $17 and scientific calculators for $12. On the…

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Q: Make an appropriate substitution and solve the equation. (x2 + 4x)2 - 17(x2 + 4x) = -60

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Q: use an algebraic approach to solve each problem. Abby has 37 coins, consisting only of dimes and…

A: To solve the given problem.

Q: by setting up and solving an appropriate algebraic equation. Suppose that you have a supply of a 30%…

A: Suppose we are mixing x quarts of 30% solution and y quarts of 40% solution, the amount of alcohol…

Q: use an algebraic approach to solve each problem. If a pair of shoes costs a retailer $24, and he…

A: Given: The pair of shoes costs $24 for retailer. And, he sell them for $39.60. Let r represent the…

Q: use an algebraic approach to solve each problem. Sarah has a collection of nickels, dimes, and…

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Q: set up an equation and solve each problem. Two cars leave an intersection at the same time, one…

A: Consider the given: Let the distance covered by the Car travelling in north be “x”. So, the distance…

Q: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

A: A vending machine has three times as many quarters in it has dollar bills. If the quarters and…

Q: Translate the sentence to an equation and then solve. Twenty- four more than the product of four…

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Q: use an algebraic approach to solve each problem. Suppose that Javier has a handful of coins,…

A: First, we shall list out the conversion between penny, nickel, and dime to dollar: 1 penny=0.01 $1…

Q: Set up the equation -32 times a number minue 17 is equal to -28 less then the number

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Q: solve the following equations by substitution method.  x2-8x+y2=-12 x-y=6 what is the solution set

A: Consider the given equations,

Q: by setting up and solving an appropriate algebraic equation. Juan starts walking at 4 miles per…

A: The given speed of Juan is 4 miles per hour. The distance covered in one and half hour will be…

Q: set up an equation and solve each problem. On a 135-mile bicycle excursion, Maria averaged 5 miles…

A: You have to set this up as 2 different parts of long trip.    Lets call the 2nd part of the…

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: set up an equation, and solve the problem. A sum of $1400 is to be divided between two people in the…

A: An equation consists an equal symbol between two algebraic expressions that have the same value. The…

Q: set up an equation and solve each problem. Find two numbers whose sum is 6 and whose product is 2.

A: We have to convert the given algebraic statements to algebraic equations , then we can use…

Q: Solve for the positive value of x that satisfies the following equation: (x + 20)(x - 5) = 350

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Q: set up an algebraic equation and solve each problem. An inheritance of $300,000 is to be divided…

A: Let the money received by the son be $3x. Then the money received by the local heart fund is $x…

Q: For the equation, x - 6x + 6 = 0, determine what type of number the solutions are and how many…

A: Given,          x2-6x+6=0

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: Let Ariadne's money  = x Brian's money = y And Catriona's money = z

Q: set up an algebraic equation and solve each problem. The ratio of male students to female students…

A: To find the number of male and female student

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: by setting up and solving an appropriate algebraic equation. How many cups of grapefruit juice must…

A: To find: How many cups of grapefruit juice must be added to 40 cups of punch that is 5% grapefruit…

Q: Solve the equation without using a calculator .

A: Given the equation is e2x+2ex-15 = 0 To solve the given equation Take u = ex ex2+2ex-15 = 0u2 + 2u -…

Q: How would you help someone solve the equation 3/x - 4/x = -1/x ?

A: To show 3x-4x=-1x.

Q: set up an algebraic equation and solve each problem. Employees of an accounting firm were given a…

A: Givenemployees=540To find overweight employees.

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 each problem by setting up and solving the appropriate equation. Working together, Lolita and…

A: If work can be done in c hours by two persons and one person can complete the work in a hours and…

Q: by setting up and solving an appropriate algebraic equation. A car leaves a town at 60 kilometers…

A: Given:           Speed of first car =60 km/hrSpeed of second car =75 km/hr

Q: Victoria bought a jacket on sale for 20% off, and paid $85. What was the original price of the…

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Q: The value of a car depreciates by 30% each year. If the car was purchased for $25 000, what will the…

A:

Q: set up an algebraic equation and solve each problem. A 20-foot board is to be cut into two pieces…

A: Given- A 20-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3. To…

Q: use an algebraic approach to solve each problem. If 15 is subtracted from three times a certain…

A: Let the required number be 'a'.and three times a number=3aSince, it is given that if 15 is…

Q: Given 1 - 2x+4 = -35, what is the first step in solving this equation?

A: To solve an equation with modulus term, solve for both positive and negative.

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: by setting up and solving an appropriate algebraic equation. A pharmacist has a 6% solution of cough…

A: A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. Let x…

Q: solve each equation. -7(a + 4) - 3(2a - 9) = 5(3a + 11)

A: Given equation is,  -7a+4-32a-9=53a+11.   It is simplified as follows:…

Q: set up an algebraic equation and solve each problem. A sum of $1750 is to be divided between two…

A:

Q: Dilbert needs to mix a 10% alcohol solution with a 50% alcohol solution to create 100 millileters of…

A: Let x ml=the quantity of 10% alcohol solution. So, the quantity of 50% alcohol solution is (100-x)…

Q: use an algebraic approach to solve each problem. Aura took three biology exams and has an average…

A: Given : The average score of three biology exams is 88              In second exam she got 10 points…

Q: The product of two consecutive numbers is 132. Which of the following equations would be used to…

A: Let the first consecutive number be x andNow the second consecutive number will be (x+1)Ex: If the…

Q: by setting up and solving an appropriate algebraic equation. How many gallons of a 12%-salt solution…

A: Let x gallons of 12%-salt solution be mixed with 6 gallons of a 20%-salt solution to obtain a…

Q: Describe, in words, how you would solve an equation similar to 3-4 2x-1 = 2x+7 3x+2

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Q: Set up an equation and solve for x. 8 12

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Q: Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing 14% with…

A: Given:- Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing…

Q: mna bought a calculator for two-thirds of its original price, and used a card that gave her a…

A:

Q: set up an algebraic equation and solve each problem. Suppose that in a certain precinct, 1150 people…

A: Total voters are 1150. The ratio of female voters to male voters was 3 : 2. Let the female voters be…

Q: Pablo's father is 4 years older than his mother and Pablo is a third of his mother's age. If their…

A: topic - linear equation in one variable