Mixtures A chemist has three acid solutions at various concentrations. The first is 10% acid, the second is 20%, and thethird is 40%. How many milliliters of each should she use tomake 100 mL of 18% solution, if she has to use four times asmuch of the 10% solution as the 40% solution?

Q: Levi is making strawberry infused water. For each ounce of strawberry juice, he uses two times as…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Lashonda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs…

A: According to the given information, the cost information of the coffee bleands in given below:Cost…

Q: Agriculture A farmer has 1200 acres of land on which hegrows corn, wheat, and soybeans. It costs $45…

A: Let the number of acres of land on which corn to grow be x. Then the number of acres on which wheat…

Q: Investments A man invests his savings in two accounts, one paying 6% interest per year and the other…

A: Let $x be invested in the account paying 6% interest per year. Then the amount invested in the…

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.8…

A:

Q: Exercises for Example 2 ....... You can purchase-peanuts for $3 per pound, almonds for $4 per pound,…

A: Given : Peanuts cost $3 per pound,  almonds $4 per pound and cashews $8 per pound.  assume  number…

Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of…

A:

Q: Burgers and hot dogs cost a whole number of pence, and a burger costs at least ten pence more than a…

A: if x≥1 that means minimum value ofx is 1

Q: Christina invested money in two accounts: a savings account that yields 1% simple interest and a CD…

A:

Q: Investing: Money is invested at two rates. One rate is 9% and the other is 13%. If there is $700…

A:

Q: Financial Planning Carletta has $10,000 to invest. As herfinancial consultant, you recommend that…

A: Solution: Consider: x = She invested in treasury bills that yield 6 % y = She invested in treasury…

Q: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large…

A:

Q: A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is…

A:

Q: An investment of $34,000 was made by a business club. The investment was split into three parts and…

A: Let x, y,and z be the three parts of split amount in the investment .Given, the total investment is…

Q: Solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to…

A: This question is based on word problem.

Q: Karen invested a total of $2,200 in two funds. Fund A earned 5% in the first year, and Fund B earned…

A:

Q: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large…

A: Let The weight of small box =y pounds The weight of large box =x pounds

Q: A small business takes out loans from three different banks to buy some new equipment. The total…

A: Let the amount taken from first bank = a And The amount taken from second bank = b, And The amount…

Q: 2. Maria invested a total $26000 into three accounts: a saving account paying 3% interest, a CD…

A: Given: The total amount of investment=$26000. The interest rate of savings=3% The interest rate of…

Q: A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the…

A: System of the equation : - The system of equations is made up of at least two sets of equations with…

Q: Dennis wants to use cottage cheese and yogurt to increase the amount of protein and calcium in his…

A:

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Let the number of quarts for Creamy Vanilla be x and the number of quarts for the Continental Mocha…

Q: An investment of ​$124,000 was made by a business club. The investment was split into three parts…

A: Interest

Q: A banana contains 121 calories. It contains equal grams of protein and fat. There are 29 grams of…

A: Total calories =121 Amount of protein and fat are equal, let =x grams Let amount of carbohydrates =y…

Q: A small business takes out loans from three different banks to buy some new equipment. The total…

A: Let, he took $x from the first bank, $y from the second bank, and $z from the third bank. So, total…

Q: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large…

A: Given,         A fruit company delivers its fruit intwo types of boxes: large and small. A delivery…

Q: chemical company mixes pure water with their premium antifreeze solution to create an inexpensive…

A: Given:- A chemical company mixes pure water with their premium antifreeze solution to create an…

Q: An investment of $68,000 was made by a business club The investment was split into three parts and…

A:

Q: A small business takes out loans from three dforent banks to buy some new equipment. The total…

A: given total loan=$ 21,000 annual interest rate =$3490 interest rate by first bank r1=16% by second…

Q: An investment of $57,000 was made by a business club. The investment was split into three parts and…

A:

Q: A swimming pool holds 600,000 liters of water. The pool has 2 drainage pipes. When the pool is…

A: pool capacity=600000 litersfirst pipe alone can empty pool in 150 minutes∴water drained by first…

Q: Your child is going on a field trip at school.  There are a total of 32 people.  There are four…

A: Let the kids on the trip be:  x

Q: An investment of $41,000 was made by a business club. The investment was split into three parts and…

A: SOLUTION-

Q: Grand hypermarket sells 5 times as much carpets as Lulu hypermarket. The difference between their…

A: Let the Lulu hypermarket sells carpets = x Then Grand hypermarket sells carpets = 5x

Q: Carmen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs…

A: Let the number of pounds of type B coffee used be x. Given this month's blend used four times as…

Q: A college scholarship fund received a gift of $ 225,000. The money is invested in stocks, bonds, and…

A:

Q: Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in 3…

A:

Q: An investment of $92,000 was made by a business club. The investment was split into three parts and…

A: Given: Total amount invested in three parts=$92000, the interest rates are 8%, 6% and 9%. The total…

Q: company sells three types of products for $20, $15, and $10 per unit. In 1 year, the total revenue…

A: To find the number of units and revenue

Q: An investment of $39,000 was made by a business club. The investment was split into three parts and…

A:

Q: d a 20% alcohol solution. On hand, you have a 225 mL of a 15% alcohol mixture. You also have 45%…

A: Let you need x ml of the 45% solution Then according to the question.

Q: A box contains orange balls and green balls. The number of green balls is seven more than five times…

A: Let number of green balls = xLet number of orange balls = yGiven Green balls are '7' more than'5'…

Q: .company sells three types of speakers. Mag Speakers sell for $30 each. Venson Speakers sell for $15…

A:

Q: Three solutions contain a certain acid. The first contains 10% acid, the second 30%, and the third…

A: Let x, y and z liters of 10% acid, 30% acid and 50% acid solution be mixed. Then, x+y+z=50   →1…

Q: Antifreeze Mixture Problem The cooling system on a truck contains 5 gallons of coolant that is 40%…

A: Refer to the question,As provided  that truck contains 5 gallons of coolant that is 40% antifreeze…

Q: ********************** *********...*****................. . ......................... You manage an…

A:

Q: Karen invested a total of $1200 in two funds. Fund A earn 10% in the first year, and Fund B earn…

A:

Q: Investments Clarisse invests $60,000 in money-market accounts at three different banks. Bank A pays…

A: We can make system of equations to solve the given problem

Q: Investments Clarisse invests $60,000 in money-market accounts at three different banks. Bank A pays…

A:

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Given:     Creamy Vanilla Continental Mocha Availability Eggs 2 1 350 Cream(Cup) 3 3 600…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.