Solve these equations with two unknowns by the method of reduction: 1.- 2x+4y=180 2.- 5x+8y=420

Q: The average height of mountain A is 14,240ft, and it’s average height is 8870ft less than the sum of…

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Q: like a rectangular prism 280 m long 70 m wide and 13 m deep at the end of the day the reservoir is…

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Q: The sum of two positive integers is 24, and their product is 135. What are the two integers? (Try…

A: The sum of two positive integers is 24, and their product is 135.

Q: if six cats can catch four mice in six minutes how long it will take one cat to catch one mouse?…

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Q: triangle has a perimeter of 52 cm. the longest side is 5cm less than twice the shortest side. thus,…

A: Question: a triangle has a perimeter of 52 cm. the longest side is 5cm less than twice the shortest…

Q: The ten’s digit of a two digit number is three more than the unit’s digit. Also, the ten’s digit is…

A: Given

Q: Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on…

A: Speed is a scalar quantity and is calculated by dividing distance traveled and time taken to cover…

Q: Of two inlet pipes, the smaller pipe takes 5 hours longer than the larger pipe to filla pool.  when…

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Q: . The length of a tarpaulin is 3 ft. more than thrice its width and its area is 126ft.2. What is the…

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Q: A blending process is to combine three components in such a way as to create a final blend of 60,000…

A: Let x, y, z be the number of gallons used of component 1, component 2 and component 3 respectively.…

Q: Two airplanes leave an airport at the same​ time, one going northwest​ (N 35°​W) at 404 mph and the…

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Q: A farmer needs to enclose two different breads of animals in a rectangular area. The two breads are…

A: Given: The farmer has 249 m of fence. The required area is 195 square meter.

Q: The height of a parallelogram is 4 milimeters more than its base. If the area of the parallelogram…

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Q: A farmer needs to enclose two different breads of animals in a rectangular area. The two breads are…

A: According to the question, the farmer wants 2 length and 3 width as shown in the diagram.  Also, the…

Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: we have given that side of a square exceeds the side of the another squares by 4 cm and the sum of…

Q: The sum of Amal’s age and her mother’s age is 38. After 5 years Amal’s age will be half of her…

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Q: Two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters. The…

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Q: The sum of the first n terms of a GP is 189. If the first term and the second term of the GP are 3…

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Q: A shop will mix two types of coffee which will be sold at a price rp. 28,000 per kilogram. The price…

A: 6 kg 1st type coffee mixed with 4 kg 2nd type coffee.

Q: A farmer needs to enclose three sides of a field with a fence (the fourth side is a river). The…

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Q: A rectangular lot whose perimeter is 320 feet is fenced along three sides. An expensive fencing…

A: Consider the length of the lot be l. Consider the width of the lot be w. Perimeter of rectangular…

Q: The tank is filled two-thirds of the way. If it costs $0.04 per cubic ft. of water to fill the tank,…

A: We have to follow fellowing step: 1) calculate volume of the tank 2) calculate volume of water…

Q: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a…

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Q: In rectangle RSTW, the length of top enclose R W end enclose is 7 more than the length of SR, and…

A: Let the length of  SR be x. Then, the length of RW=x+7 and RT=x+8. Sketch the figure representing…

Q: A jet aircraft travels from Puristan to Elbonia and back in 8 hours and 15 minutes. The jet’s own…

A: Total time take by the aircraft = 8 hr 15 minutes = 8.25 hr Speet of jet = 600 km/h Wind speed…

Q: The perimeter of the rectangular board is 36 cm. If the width of the board is 5 cm shorter than the…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A: Given: Marina solved a linear equation and found that it had an infinite number of solutions.

Q: The sum of the measures of ALL THREE angles in a triangle is 180° Solve for x. (2x+1)* (5x+5)

A: Form the expression for the sum of the angles of the right angle triangle. One angle is always equal…

Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

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Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can emptythe pool in 26…

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Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

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Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: To determine the length and width of the yard Let the length of the two equal sides be x ft then…

Q: If the square of the length of the inside of a triangle equals the sum of the squares of the Lengths…

A: Given, If the square of the length of the inside of a triangle equals the sum of the squares of the…

Q: Create three equations from the stated problem and then solve. The sum of three numbers is 14. The…

A: In the first equation: The sum of three number is 14. Let the three number be x, y and z. So, the…

Q: ee adjacent garden plots. Each of the three plots will have an area of 80 square feet , and they…

A: Let the width of the each plot be x  and length of each plot be y. Area of each plot is 80 square…

Q: Suppose there are two cities, Chandlertowne and Gilbertville. Combined, the two cities have a…

A: Given :- There are two cities, Chandlertowne and Gilbertville. Combined, the two cities have a…

Q: A mixture of 23% disinfectant solution is to be made from 16% and 26% disinfectnt solutions.  How…

A: Let x gallons of 16% solution is used. Total is 40 gallons So 40-x gallons of 26% solution is used.

Q: A jet aircraft travels from Puristan to Elbonia and back in 8 hours and 15 minutes. The jet’s own…

A: We have to first represent the given situation.

Q: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

A: The circumference of the circle and the perimeter of the rectangle are equal such that the length of…

Q: present the sum of parents’ ages is twice the sum of the children’s ages. Five years ago, the sum of…

A: We will solve the problem

Q: The square of the sum of two consecutive positive even integers is greater than the sum of their…

A: Solution- (6) Let the numbers are 2n and 2n+2. According to the given problem, 2n+2n+22=2n2+2n+22+48…

Q: A rectangular lot whose perimeter is 220 feet is fenced along three sides. An expensive fencing…

A: Let x = length, y = width. Given: Perimeter = 220 feet Cost of length per foot = $20 Cost of width…

Q: A tank can be filled by 2 water keys together in 3 hours with 3 quarters. The main key would be able…

A: Given: -

Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 75 yards.…

A: Let the width be x . Hence, the length is 2x . The diagram depicting this scenario can be presented…

Q: The lengths of two sides of an equilateral triangle in terms of x are (5x + 30) and (8x + 24). What…

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Q: The side of a square exceeds the side of the another squares by 4 cm and the sum of the area of the…

A: Area of square = a2  (where a is the side of the square)

Q: 12 inches minus the length of one of the sides equals the length of the other side. The sum of the…

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Q: A total of $12,000 was invested in two types of bonds. One pays 8% simple interest while the other…

A: total interest earned should be $1145 because at 8 % it exceeds 1.145 which seems a mistake.

Q: 5. The area of the rectangular banner should be 6.75 square meters. If the length is to be thrice…

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