Parcel Post services allow that a package can be shipped if its girth plus length (longest side) is no larger than 130 inches. If you have a square package whose length is six times the length of a shorter side, what are the possible lengths for a side of the box?

Q: A swimming pool can be filled by three pipes, A, B, and C. Pipe A alone can fill the pool in 8…

A: Given that Pipe 'A' fill the pool alone in 8 hours. Let Pipe 'B' fill the pool alone in x hours and…

Q: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

A: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

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

A:

Q: The angles in a triangle are such that one angle is 102 degrees more than the smallest angle, while…

A: The angles in a triangle are such that one angle is 102° more than the smallest angle, while third…

Q: Central Park is a shape of a rectangle with the dimensions of 15 miles long and 8 miles wide. How…

A:

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: Let the shortest side= x  So the other side is = 2x Third side= x+10

Q: The solution to 4(2x + 1) = 5x + 3x + 4 is infinite solutions. If false, explain why. True False

A: Solve for solution of x

Q: & Solve: 4 3x 2 x2-6x+8 x-2 X-4 010 Bonus Solve V5x – 4 = V2x + 1+ 1. 5x-4 V2x +1+ 1. %3D

A:

Q: Find the dimensions of a rectangle with area is 120 m² whose perimeter is as small as possible

A: topic - application of derivatives

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

A: l= length of rectangular yard b= width of rectangular yard

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

A:

Q: The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the…

A:

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Given that Window is in form of equilateral triangle surmounted on a rectangle. Perimeter of entire…

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

A: Given,         The side of a square exceeds the side of the another squares by 4 cm and the sum…

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: a certain triangle, the measure of angle A is three times as big as the measure of angle C and the…

A: Given query is to find measure of angle A.

Q: Lincoln and his children went into a bakery and where they sell cookies for $1 each and brownies for…

A:

Q: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 12…

A: given,        John invests twice as much in the lower yielding account ,   one bank paying 3% simple…

Q: One aircraft has a capacity of 87 more seats than a second aircraft. A third aircraft has 58 seats…

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three…

A: Given:   Perimeter of rectangle = 200 To find the length of the shorter side and the length of…

Q: Each morning during rush hour, 10,000 people want to travel from New Jersey to New York City. If a…

A: a) Model: Formula: Solver input:

Q: A large table for a conference room is to be constructed in the shape of a rectangle with two semi…

A: Solution :-A large table is constructedin the shape of rectangle with two semicircles at the endsThe…

Q: a rectangular poster is to contain 882 square inches of print. the margins at the top and bottom of…

A: Given that , the rectangular poster is to contain 882 square inches to print and the margins at…

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: A rectangle has a length that is 8" more than its width. If the area of the rectangle is 20 square…

A:

Q: math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

A: A math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

Q: The perimeter of a triangle is 46 centimeters. The longest side is 5 centimeters less than twice the…

A: The perimeter of a triangle is 46 centimeters. The longest side is 5 centimeters less than twice the…

Q: Seven carpenters and five masons earn total of 2,300 per day. At the same rate of pay three…

A:

Q: Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50…

A: Let the number of bags of popcorn bought by Jackson is x and the number of candies  bought is y The…

Q: you have 100 pesos today and on each of the following days, you save double the amount of money you…

A: Given query is to find the amount after 10 days .

Q: 7. The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its…

A: Given d=2(l-2) W=2(l-8) Area=? Perimeter=?

Q: The area of a pumpkin patch is 120 square yards, and its width is 26 yards less than 3 times its…

A:

Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is…

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area…

Q: A rectangle is three timesas long as it is wide and has the same perimeter as a square whose area is…

A: Let the width of the rectangle is x. According to the question length of the rectangle will be 3x.…

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: A triangle with area 22 square inches has a height that is one less than three times the base. Find…

A: We have to insert the given value in the formula for computing area of the triangle

Q: he perimeter of a triangle is 26 cm. The first side is 6 cm shorter than the second side. The third…

A: Given that: Perimeter of triangle=26 cmFirst side is 6cm shorter than the second side.Third side is…

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose that the length of field is “L”, and width of field is “W” then, The total area of the is…

Q: A farmer with 500 feet of fencing decides to enclose a rectangular garden, using the side of a barn…

A: Assume that the length (side of the barn) of the fencing be x and the width (perpendicular side of…

Q: A trucker hauls citrus fruit from Florida to Montreal. Each crate of oranges is 4 ft³ in volume and…

A: Let, x be the number of the orange crates and y be the number of grapefruit crates.   Each crate of…

Q: One hall of a container is filled One half of a container is filled with water and one eighth of it…

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Q: oah is working two summer jobs, making $9 per hour babysitting and making $20 per hour lifeguarding.…

A: It is given that Noah is working two summer jobs, making $9 per hour babysitting and making $20 per…

Q: Customers of a phone company can choose between service plans for long distance calls. The first…

A:

Q: Linh has obtained scores of 84, 71, and 75 on her midterm algebra exams. If the final exam counts…

A:

Q: The length of a rectangular pool is to be 2 times its width, and a sidewalk 4 feet wide will…

A: Let l and w be the length and width of rectangular poolas shown in figure.Total area, A=1050 ft2

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and…

A:

Q: Customers of a phone company can choose between two service plans for long distance calls. The first…

A: Let the number of minutes be x.

Q: 4. Four times the width of a certain rectangle exceeds thrice its length by four inches, and five…

A: As per rules, we will solve only first question 4. Let l denotes the length of the rectangle and b…

Q: 6. My mother is 12 years more than twice my age. After 8 years, my mother's age will be 20 years…

A: lets current my age is x  current mother age is 2x +12 after 8 year  my age is x+8 mother age 3(x…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.