The length of a rectangle is three times its width. the perimeter of the rectangle is at most 112cm. which inequality models the relationship between the width and the perimeter of the rectangle.

w ≤ 14 cm , L ≤ 42 cm

Step-by-step explanation:

width (w): w

Length(L): 3w

Perimeter (P) = 2w + 2L

P ≤ 112

 2w +   2L   ≤ 112

2(w) + 2(3w) ≤ 112

 2w +   6w   ≤ 112

       8w        ≤ 112

         w        ≤ 14

length is 36.5

              width  is 12.5

length is 36.5

               width  is 12.5

Step-by-step explanation:

P=2*(a+b)

a -length

b- width

a=3b

P/2=3b+b

100/2=4b

b=50/4

b=12.5 inch

a=3*12.5

a=36.5 inch

The length of the rectangle is 37.5 inches and the width is 12.5 inches

Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;

Perimeter = 2(L + W)

We can now insert the known values as follows;

100 = 2(3W + W)

100 = 2(4W)

100 = 8W

Divide both sides of the equation by 8

12.5 = W

Having calculated the width as 12.5 inches, the length now becomes

L = 3W

L = 3 x 12.5

L = 37.5

Hence the length is 37.5 inches and the width is 12.5 inches

1)

2)

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

The problem states that the length of a rectangle is three times its width. So l = 3w and:

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

.

The sum of their ages is less than 32, so:

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

They are consecutive so:

Replacing in the sum equation:

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

Don needs to earn at least 244 points in the fourth game.

192 square inches

Step-by-step explanation:

I really don't have one sorry

25 for width, 75 for length.

Step-by-step explanation:

Since we don't know the lengths and widths, we use x.  If the length is three times the width, width=x.

3x+x=100

4x=100

x=25

The width is 25 and the length is 75.

Area of a rectangle is 27 cm²

Step-by-step explanation:

Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Hai

Step-by-step explanation:

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.