A 12­foot board is to be divided into two pieces so that one piece is twice as long as the other. If x represents the length of the shorter piece, find the length of each piece.

Q: A 5­foot piece of string is cut into two pieces. If one piece isx feet long, express the other…

A: Since a 5-foot string is cut into two pieces, therefore, the sum of the length of these two pieces…

Q: "The length of the unknown side has to be greater than ___ and less than ____" The answer is numbers

A: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

Q: A small radio transmitter broadcasts in a 46 mile radius. If you drive along a straight line from a…

A:

Q: When the length of each side of a square is increased by 5 inches, the area of the resulting square…

A: area of square = side *side

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A:

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x - 17 meters long. If…

A: Recall:  Pythagoras theorem,  (Hypotenuse)2=(opposite side)2+(adjacent side)2   We have,…

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data:   The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a…

A: Given  Radius=29 miles  North of the transmitter=39 miles  East of the transmitter=32 miles

Q: A train travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A:

Q: A small radio transmitter broadcasts in a 42 mile radius. If you drive along a straight line from a…

A: Given,Radius = 42 miles So, the equation of the circlex2 + y2 = 422           …… (1)Transmitter at…

Q: A 30-foot piece of siding is cut into three pieces so that the second piece is four times as long as…

A:

Q: The area of a parallelogram is x8 . If the base is x4 , what is the height interms of x?

A: The area of parallelogram is x8 and base is x4.

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Here I am attaching image so that you understand each and every step.

Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: r=31 miles. The given north point is: a=41 miles. The given…

Q: A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a…

A: Given: Radius of radio transmitter broadcasts=38 miles and you drive along a straight line from a…

Q: The length of a rectangle is 5 feet more than the width. If x represents the width, in feet, the…

A:

Q: A 18-foot piece of siding is cut into three pieces so that the second piece is three times as long…

A:

Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 96 yards.…

A: A rectangular piece of land whose length is twice its width has a diagonal distance of 96 yards.

Q: The area of a triangle is equal to the length of the base times the height divide by 2 .if the area…

A:

Q: Cut a 16ft beam into two pieces so that one is 18 in longer than the other. Find the length of two…

A: The solution is given below :

Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

A: One gardener can make the lawn in 5 hours Another gardener can make the lawn in 4 hours

Q: A 23­inch piece of string is to be cut into two pieces so that the length of the longer piece is…

A: Given: A 23­ inch piece of string is to be cut into two pieces so that the length of the longer…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x- 17 meters long. If…

A: The height of the tree is x meters. The length of the shadow is (x - 17) meters. The distance from…

Q: A Train travels 360 km at a uniform speed.If the speed had been 5 km / hr more, it would taken 1…

A:

Q: A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a…

A: Given:   Assuming transmitter is located (0, 0). From a city 37 miles north of the transmitter (0,…

Q: A rectangular garden has a width of 20 feet and a length of 24 feet. If eachside of the garden is…

A:

Q: A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

Q: A 48-foot piece of siding is cut into three pieces so that the second piece is three times as long…

A: Here we have to use the concept of linear equation.

Q: A piece of wire36cm long is cut into two​ pieces, each to be bent to make a square. The length of a…

A: Given: The length of the wire is 36 cm and cut into two pieces.  each to be bent to make a square.…

Q: A 21­foot beam is to be cut into three pieces so that the second and the third piece are each 3…

A:

Q: A 24-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: The length of the board is 24-inch. It is given that the board is cut into three pieces. Let x, y…

Q: If Jose is 29 miles due west of E-Burg and Caitlyn is 22 miles due north of E-Burg, what is the…

A:

Q: A small radio transmitter broadcasts in a 44 mile radius. If you drive along a straight line from a…

A:

Q: Find the length of BE 3x +47- 10 C x+27 x+26-

A:

Q: The length of Kara’s rectangular patio can be expressed as 2x − 1 and thewidth can be expressed as x…

A:

Q: If the length of a certain rectangle is  decreased by 4 feet and the width is increased by 3 feet ,…

A:

Q: A rectangle has a breadth of x cm and a length which is ten times longer than the breadth. If the…

A: Given,            A rectangle has a breadth of x cm and a length which is ten times longer than the…

Q: A 24​-inch board is to be cut into three pieces so that the second piece is 3 times as long as the…

A:

Q: Find three consecutive even integers such that the square of the third is 68 more than the sauare of…

A: Let 3 consecutive integers are x-2, x, x+2 according to question square of third is 68 more then…

Q: A small radio transmitter broadcasts in a 47 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: R=47 miles. The given north point is: a=54 miles. The given…

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: An 18­ foot board is cut into two pieces. If one piece is x feet, express the length of the other…

A: (18-x) feet

Q: A board of length (3x* + 9x - 6) meters is to be cut into three pieces of the same length. Find the…

A:

Q: The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each…

A:

Q: Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given…

A:

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x-17 meters long. If…

A: Given:  Height of the tree=x meters Shadow=(x-17) meters The distance between the tips of the tree…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.