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Question 1166872: Forty liters of a 60% salt solution are reduced to a 45% solution. How much solution must be drained off and replaced with distilled water so that the resulting solution contains only 45% solution.
Click here to see answer by ikleyn(52781)

Question 1166956: Given 𝑓(𝑥) = 0.06𝑥 + 0.3 as a function of solution (in quarts) to produce the percentage of boric acid.
Find the following:
1) The percentage of pure boric acid if the amount of solution is 3 quarts;
1) The amount of solution in quarts, if the amount of pure boric acid is 54%. Use inverse function.

2020.09.22 8:16:50 AM
B) Solve the following problems. Show your complete solution.
1) A number of grams of a certain radioactive substance present at the time t is given by the formula 𝐴 = 400𝑒−0.08𝑡, where t is the number of years. Find the amount present at time t=0. Find the amount present after 45 years.
C) Determine whether the given is an exponential function, exponential equation, or an exponential inequality. 1) 2𝑥 > 1 4 2) 𝑓(𝑥) = 3𝑥 − 2
3) (
2 3 )
𝑥−1
=
9 4 4) 10𝑥 ≤ 0.001 5) 23𝑥+4 − 6 = 122
Click here to see answer by ikleyn(52781)

Question 1167175: A cell phone plan charges a flat monthly fee of $65 for the first 800 minutes, then $0.11 for each additional minute. A teenager's cell phone bill for last month came to $136.50. How many additional minutes did the teenager use?

Click here to see answer by Boreal(15235)

Question 1167322: An aluminum alloy contains 20% magnesium and 5% aluminum. How many pounds of aluminum and of magnesium must be mixed with 100lb of the given alloy to produce another alloy of 30% magnesium and 10% aluminum ?
Click here to see answer by ikleyn(52781)

Question 1167321: an aluminum alloy contains 20% magnesium and 5% aluminum. How many pounds of aluminum and of magnesium must be mixed with 100lb of the given aloy to produce another alloy of 30% magnesium and 10% aluminum?
Click here to see answer by ikleyn(52781)

Question 1167343: A certain two digit number is 4 more than 10 times the tens digit. The original number is 12 less than twice the number formed by interchanging the digits. Find the original number.
Click here to see answer by Boreal(15235)

Question 1167427: A laboratory technician needs to make a 18-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
Click here to see answer by josgarithmetic(39617)

Question 1167425: A solution of 49% fertilizer is to be mixed with a solution of 28% fertilizer to form 252 liters of a 41% solution. How many liters of 49% solution must be used?
Click here to see answer by josgarithmetic(39617)

Question 1167656: In a mixture of concrete, there are two lb of cement mix for each pound of gravel. If the mixture contains a total of 174 lb of these two ingredients, how many pounds of gravel are there?
Click here to see answer by ikleyn(52781)

Question 1167841: A chemist wants to make 42 ml of a 16% acid solution by mixing an 11% acid solution and an 18% acid solution. How many milliliters of each solution should the chemist use?
Click here to see answer by Boreal(15235)

Question 1167839: A goldsmith combined an alloy that costs $4.20 per ounce with an alloy that costs $1.80 per ounce. How many ounces of each were used to make a mixture of 200 oz costing $2.28 per ounce?
Click here to see answer by josgarithmetic(39617)

Question 1168042: Maria needs to mix a 10% alcohol solution with a 50% solution to create a 100 millimeters of a 34% solution how many millileters of each solution must Maria use
Click here to see answer by josgarithmetic(39617)

Question 1168250: a) The Pinetown Recreation Bureau planned to build a rectangular ice-skating rink with dimensions 40m by 70m. Their budget has been cut, so they must reduce the area of the rink by 650 sq. meters. A strip will be removed from one end, and a strip of the same width will be removed from one side. Find the width of strips.
b)A t-shirt design company is dying purple shirts for a school club. The shirts came out too light so the company needs to add more pure blue dye to the mixture to get a darker purple color for the shirts. The full vat of color holds 54 gallons of the original dye that is 27% blue. How many gallons should be drained and replaced with pure blue dye so that the mixture will be 40% blue?
Click here to see answer by greenestamps(13200)

Question 1168475: from a mixture of vinegar and water which is 20% vinegar, 2 quarts are removed and replaced by pure vinegar, the results mixture is 49% vinegar. Find the number of quarts in the original mixture.
Click here to see answer by Edwin McCravy(20055)

Question 1168686: A family has two cars. the first car has a fuel efficiency of 35 mile per gallon of gas and the second has fuel efficiency of 30 miles per gallon of gas. during one particular week, the two care went a combined total of 1775 miles, for a total gas consumption of 55 gallon how many gallons were consumed by each of the two cars that week?
Click here to see answer by josgarithmetic(39617)

Question 1168702: A mechanic needs an antifreeze-water mixture that 60% antifreeze to fill a radiator. The mechanic has antifreeze that is a 50% concentration and antifreeze that is 100% concentration. How many liters of each concentration of antifreeze must be mixed to produce 10L of 60% antifreeze?

Click here to see answer by josgarithmetic(39617)

Question 1168769: If 1000 articles of a given type can be turned out by first machine in 10 hours, by a second machine in 7 hours, and by a third in 6 hours, how long will it take to turn out the articles with all machines working?

Click here to see answer by josgarithmetic(39617)

Question 1168770: You have a solution containing 10% acid and a solution containing 20% acid. How much of the 20% solution must be added to 5 liters of the 10% solution to create a mixture that is 18% acid? (Note: 10% of 5L is 0.5L.)
Click here to see answer by josgarithmetic(39617)

Question 1168776: A jar contains 734 litres of milk. After packing the milk in 20 packets of equal capacity, 14 litre of milk was still left in the jar. Which of the following is the correct way to find the quantity of milk in each of the smaller packets?
Click here to see answer by ikleyn(52781)

Question 1168884: A merchant has 120 ltr of oil of one kind, 180 ltr of another kind and 240 ltr of third kind. He
wants to sell the oil by filling the three kinds of equal capacity. What should be greatest capacity
of such a tin?
Click here to see answer by Alan3354(69443)

Question 1168885: Sponge Bob and Patrick are baking pumpkin bread and pumpkin cookies for the fall bake sale. They only have 36 cups of sugar, 14 pumpkins, and 15 cups of flour. Each loaf of bread uses 4 cups of sugar , 2 pumpkins, and 1 cup of flour. Each dozen cookies use 6 cups of sugar , 1 pumpkin and 3 cups of flour . If each loaf of bread makes $10, and each dozen cookies makes $8, how many of each should they make to maximize the profit , and what is the maximum profit?
Click here to see answer by Solver92311(821)

Question 1168990: Solve the following literal equations for the indicated variable. Show all work and include the restriction.
C=R*ab/x^2; solve for x
Click here to see answer by Boreal(15235)

Question 1169031: The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4597
Click here to see answer by ikleyn(52781)

Question 1169030: A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $25. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $37. Find the cost for each pound of trail mix and each pound of jelly beans.
Click here to see answer by josgarithmetic(39617)

Question 1169399: GEORGE earns $8 per hour for his babysitting job. He also receives a $10 bonus for any day he works past 6 PM. Last month George babysat: Five day for 3 hours each. Two days for 5 hours each, On 2 of those day he worked past 6 PM. Write two expressions representing the total amount of money George received for babysitting last month.
Click here to see answer by The Troll Kid(22)

Question 1169139: My mother wants to improve her recipe of cupcakes by adding more sprinkles. Her original flour costs $120/550 g, but she wants to add more by spending $70/550 g for more creamier taste. If she buys more sprinkles at $250/150g, how much more sprinkles can she add to her original recipe of mixture having 550 g?
Click here to see answer by greenestamps(13200)

Question 1169447: Saul made some extra money last year from a part-time job. He invested part of the money at 2% with four times as much invested at 3.25%. He made a total of $150.00 in interest. How much was invested at 3.25%?
Click here to see answer by ikleyn(52781)

Question 1169472: how many ml of pure alcohol and how many ml of 4% alcohol solution must be combined to make up 480 ml of an 8% alcohol solution?
Click here to see answer by josgarithmetic(39617)

Question 1169472: how many ml of pure alcohol and how many ml of 4% alcohol solution must be combined to make up 480 ml of an 8% alcohol solution?
Click here to see answer by ikleyn(52781)

Question 1169472: how many ml of pure alcohol and how many ml of 4% alcohol solution must be combined to make up 480 ml of an 8% alcohol solution?
Click here to see answer by greenestamps(13200)

Question 1169521: Sketch the graph of the following absolute value equation. Identify the vertex (ordered pair), the domain & range (interval notation), and on what interval of x is f(x) increasing & decreasing.
Graph: f(x)=-2|x-5|
Click here to see answer by ikleyn(52781)

Question 1169600: How many liters of pure alcohol must be added to 15 liters of 20% solution to obtain a mixture which is 30% alcohol
Click here to see answer by ikleyn(52781)

Question 1169635: Johnnyneeds 10liters of a 15% acid solution. He currently has a 10%solution and a 30%solution. How many liters of 10% solution does he need to make the needed 10liters of 15% acidsolution?
Click here to see answer by Alan3354(69443)

Question 1169774: A manufacturer claims that the mean lifetime, u of its light bulbs is 43 months. the standard deviation of these lifetimes is 9 months. eighty light bulbs are selected at random, and their mean lifetime is found to be 40 months. can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months?
Perform a two tail test. then fill in the table below.
Click here to see answer by Boreal(15235)

Question 1169854: Use the Empirical Rule to answer each question. A baseball franchise finds
that the attendance at its home games is normally distributed, with a mean of 16,000 and a
the standard deviation of 4000.
4.What percent of the home games have attendance between 12,000 and 20,000 people?
5.What percent of the home games have an attendance of fewer than 8000 people?
Click here to see answer by Boreal(15235)

Question 1169973: A candy company has 198 kg of chocolate-covered nuts and 114 kg of chocolate covered raisins to be sold as two different mixes. One mix will contain half nuts and will sell for 7 $ per kg. The other mix will contain 3/4 nuts and 1/4 raisins and will sell for 9.50 per kg . Complete parts a. And b.
Click here to see answer by josgarithmetic(39617)

Question 1170099: A pharmacist receives a prescription for 60 g of a 0.75% w/w bexarotene gel. How many grams each of a 1% w/w bexarotene gel and gel base must be used
d?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1170431: I am making an alloy. It uses tin iron and nickel in the ratio 4:9:2. If I have 200g of tin, 500g of iron and 90g of nickel then what is the maximum amount of the alloy I can make
Click here to see answer by greenestamps(13200)

Question 1170568: One bowl contains 3 white balls, 6 red balls and 4 green balls. Another bowl contains 6
yellow balls and 6 black balls. The last bowl contains 5 pink balls and 6 violet balls. What is
the probability of getting a white ball from the first bowl, a black ball from the second bowl
and a pink ball from the last bowl in a single draw from each bowl?

Click here to see answer by Boreal(15235)

Question 1170723: A ball is hit into the air from a height of 4 feet. The function g(t)=-16t^2+120t+4 can be used to model the height of the ball where t is the time in seconds after the ball is hit.
a.About how long is the ball in the air?
b.When is the ball back to 4 feet off the ground?
c.How high is the ball after 4 seconds?
d.When is the ball 150 feet in the air?
e.What is the maximum height the ball reaches? How many seconds does it take for this max to occur?
Click here to see answer by MathLover1(20849)

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