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Two numbers have a sum of 10 . if you add the first number to twice the second number, the result is 8. what are the numbers.
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An electrician charges $30 for a service call plus $75 per hour of service. If he charged $210, how many hours did he work?
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What is the molarity of a nitric acid solution prepared by diluting 250.0 mL of 6.00 M HNO_3 to a total volume of 2.50 L?
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Calculate the volume of 30% (w/w) hydrogen peroxide (H2O2) required to prepare 25.00 mL of 6% hydrogen peroxide. (using formula m1v1 = m2v2)
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The most highly concentrated hydrochloric acid is 12 M. What volume of a 12 M stock solution of HCl should be diluted in order to produce 6.0 L of 0.50 M HCl?
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Write an algebraic expression for the sum of a number and 15
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Simplify the square root of 72
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How many solutions does the system of equations have? x-4y=12 and 5x-20y=60 A.one B.two C.infinitely many D.none
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Mallory furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $
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Find the values of x and y by using the following equations. x + y = 9.0 0.50 x + 0.20 y = 3.75 .
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Solve for y. x – 2y = 1
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Use the \quadratic formula to solve the equation for x in terms of y and y in terms of x . 2x^2 + 7xy + 1 – y^2 = 0 (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
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How do you write x = 4y – 5 in standard form?
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Solve x – 5 = 2x – 10
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Calculate and list the steps on how to prepare 20 mL of 2% SDS solution from a 10% SDS stock solution.
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A plumber charges $25 for a service call plus $50 per hour of service. What will be the total cost for 8 hours of work?
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FlyNap is delivered as a 500X stock. From this, suppose you want to create 100 mL of 1X FlyNap diluted in ethanol. How many mL of stock FlyNap and ethanol are needed?
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If L, M are the two roots of the equation x^{2} – 21x + 4 = 0 then find sqrt{L} + sqrt{M}.
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A fitness club opens with 80 members. Each month, the membership increases by 15 members. Write an equation that represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y.
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A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3,249 tickets overall. It has sold 154 more $20 tickets than $10 tickets. The total sales are $60,410. How many tickets of each kind have been sold?
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Julie bought several dozen roses and carnations for her wedding. The roses cost $16 per dozen and the carnations cost $4 per dozen. She bought a total of 10 dozen ?owers and paid $112. How many carnations did she buy?
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A store sells CDs at one priceand DVDs at another price. The figure below shows the revenue (in dollars) of the music store as a function of the number, c, of CDs and the number, d , of DVDs that it sells. What is the price of a CD?What is the price of a
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Use your calculator to \approx imate the solution by graphing. Sketch the graph you see and round your answer to the nearest tenth. -3.1x + 2.2y = 12; 2x – 3y = 4.
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At a store, a hat costs 3 \times as much as a t-shirt. Together, the hat and the t-shirt cost $35. How much does the t-shirt cost? Solve problem using two ways; with algebraic equations and a strip diagram.
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A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
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Solve each system by substitution. 1) -x – y – 3z = -9 z = -3x – 1 x = 5y – z + 23 2) x = -4z – 19 y = 5x + z – 4
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I am 100 mL of a 0.5 M HCl solution, and I want to dilute it to exactly 0.1 M. How much water should I add?
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Last year, Mai had to invest $30,000. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1,580 in interest. H
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What is the solution to a system of linear equations?
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How much hexane is needed to dilute a 10% acetone solution to 1% acetone?
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Use a graphing utility to \approx imate the real solutions, if any, of the given equation rounded to two decimal places. All solutions lie between -10 and 10. x^{3} – 7x + 3 = 0
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What two numbers’ sum equals 31 and their difference is 7?
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In order to prepare 20 L of 1X TAE buffer from 50X TAE stock solution, how much (in ml) of the 50X TAE buffer is diluted with water to prepare 20 L of 1X TAE?
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Graph the system below and write its solution. Note that you can also answer “No solution” or “Infinitely many” solutions. y = \frac{1}{4}x – 2 \2x + y = 7
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One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 179.2 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 442.1 milligrams of vi
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Solve x^2 + 4x + 1 = 0
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Martha wants to rent a car for a week and pay no more than $130. How far can she drive if the car rental costs $94 per week plus $0.12 per mile?
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Thomas collects dimes and quarters in his change jar. If he has 10 more dimes than quarters, and the total amount of money in the jar is $34.25, find the number of each type of coin in the jar.
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A technologist put five (5) tubes in a test tube rack and put 3 mL of diluent in each tube. The tech then put 0.3 mL serum in the first tube and mixed it. Next, the tech then transferred 1 mL of the mixture from the first tube to the second tube. This pro
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A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost?
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