-8x - 10y = 24 %3D 6x + 5y = 2 %3D

Q: Alice needs one hour to do a certain job. Betty, her older sister, can do the same job in 30…

A: Alice needs one hour(60 minutes) to do a certain job. So Alice does 1/60 of work in one minute .…

Q: How many gallons of 30% alcohol and 60% alcohol are needed to obtain a 20-gallon mixture which is…

A: Let x be the number of gallons of 30% alcohol. So, (20-x) will be the number of gallons of 60%…

Q: The sum of Alyssa's age and her sister's age is 48 years. Emma age is 6 years less than twice here…

A: Here there are two sisters and we have to calculate their age with the given information.

Q: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a…

A: Given- After riding at a steady speed for 40 miles and walked 5 miles to a repair shop. The cycling…

Q: Solution: 9) John played basketball on Friday and Saturday, scoring a total of 60 points! He scored…

A:

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as…

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x  Given: x•2x = 360  So,…

Q: The selling price for a classic speedboat is $20,000. What was the speedboat's original price if it…

A: Find the original selling price of speedboat

Q: Set up and solve an equation for the following business situation. Suppose a certain company sells…

A: Let x and y be the number of regular keyboards and wireless keyboards sold. It is given that the…

Q: Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 11…

A: Given: X is the amount, Jolene invested at 6%. Y is the amount, Jolene invested at 11%. Her annual…

Q: A chemist needs to mix a 75% saltwater solution with a 50%saltwater solution to obtain 10 gallons of…

A: One need to convert the given information in system of equations and then solve for the variables.

Q: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 8 percent…

A: Let amount invested at rate 8% be p. It is given that amount invested in lower yielding account is…

Q: How to solve step by step: (x^2 * y^6 / x^3 * y^2)^-2

A: For division, we subtract the exponents

Q: The price of a dress is reduced by 40%. When the dress still does not sell, it is reduced by 40% of…

A:

Q: Find the extraneous solution for the equation. x = v20 + 8x O-10 5 O 10 O-2

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Q: The length of a rectangle is  7yd  more than twice the width  x . The area is  270yd2

A:

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: A collection of pennies and nickels has the value of $1.59. There is one more than twice as many…

A:

Q: Solve for the following problems. a. Find three consecutive integers whose sum is 11 more than twice…

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Q: A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times…

A:

Q: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Let Annie, Bert and Chris present ages be A, B and C. Given A+B+C=60 Let Annie be older than Bert by…

Q: Uncle Roger has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the…

A: Given, Uncle Roger has $24,000 to invest, some in bonds and the rest in stocks. He has decided that…

Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

Q: How to solve step by step: x^5/2 * y^1/6 / x^-3/2 * y^5/3

A: To solve the given expression.

Q: A car that originally cost $3,668 in 1955 is valued today at $62,125 if in excellent condition,…

A:

Q: The product of d and 9 is subtracted from four-fifths of x

A:

Q: The product of the ages of A and N is 240. If twice the age of N is more than A’s age by 4 years,…

A: Let the age of A be a and the age of N be n. The given relations can be written as follows.

Q: The sum of a student's three scores is 204.if the first is 13 point more than the second, and the s…

A: I have just use the given information and find that  First score = 76

Q: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

A: A woman making $3000 per month has her salary reduced by 20% because of sluggish sales. One year…

Q: If you plan to drive between two cities that are 250 miles apart, and you expect to go about 55…

A: Given that, The distance between two cities =250 miles. The distance travelled in 1 hour =55 miles.…

Q: Solve the equation below. V2 csc x – 2 = 0 if 0 < x < 2n.

A: 2csc x -2=0

Q: A film company is deciding on the price of the video release on one of its films. Its marketing…

A: Explanation: Given that,  The price of $p and the quantity q=250000-10000p, each $2 Revenue…

Q: The sum of the simple r2's is typically less than R2 equal to R2 greater than R2

A: R-squared or r-squared is a statistical measure that represents the proportion of the variance for a…

Q: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

Q: The cost of a big tub dog treats is two times that of a small one plus 3 dollars. if a big tub of…

A:

Q: a bushel is equal to 8 gallons and a peck is equal to one-fourth of a bushel. if the price is $20…

A:

Q: Jackie invested money in two different accounts, one of which earned 12%interest per year and…

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Q: the selling price for a classic speedboat is $10,000. what was the speedboat’s original price if it…

A: The selling price for a classic speedboat is $10,000. To determine the speedboat’s original price if…

Q: A pond can be filled by one pipe in 8 hours and by a second pipe in 24 hours. How long will it take…

A: Consider the given information. A pipe can be filled in 9 hours and a pipe is fitted in another 12…

Q: Arthur can do a job in 30 minutes, Bonnie can do it in 40, and Clair can do it in 60 minutes. How…

A: let x be the time required in working together. Explanation of the answer is as follows

Q: How would I solve this?   A number is 3 more than half the sum of the number with 5, what is the…

A: Let, the number be n  So, we have the equation : n = 3 + (n+5)/2

Q: The sum of the ages of two ships is 12 years. Two years ago, the age of theolder ship was three…

A: Let x and y be the ages of older and newer ship respectively. Then according to given data, we have…

Q: A horse and a saddle cost $5000. If the horse cost 4 times as much as thesaddle, what was the cost…

A:

Q: The product of two consecutive Even mumbers is 54 more than the larger of the two numbers. Find the…

A: We have to find two consecutive numbers when their product is 54 more than the larger of the two…

Q: Thus, Dani's current age is

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Q: S+ 2v + 2a = 4 35 – 3v + 4a = 25 35 + 2v – a = -4

A: Convert the given system of equations into matrix form. 1223-3432-1Sva=425-4 The augmented matrix is…

Q: The sum of 2 times a number and twice its reciprocal is . Find the number(s).

A: To Determine: find the number  Given:  the sum of 2 times a number and twice its reciprocal is 203.…

Q: A horse and a saddle cost 5000 dollars. If the horse cost 4 times as much as the saddle, what was…

A: Let the cost of saddle = $ x The cost of horse = $ 4x

Q: The equation |x| = 3 has two solutions               and                  .

A: To fill: The statement "The equation |x| = 3 has two solutions ______ and ______ . Given…