The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.

Answers

Answer 1
Answer:

Answer:

The value which is possible for the length of the rectangle is:

                               7 in.

Step-by-step explanation:

We know that in order to form a rectangle the length and width of a rectangle must be in positive dimension.

i.e. l,w>0

where l denotes length and w denotes width of the rectangle.

Also, The perimeter of a rectangle is 16 inches.

Hence, the equation that represents the perimeter of the rectangle is:

    2l + 2w = 16.

i.e.   on dividing both side of the equation by 2 we obtain:

           l+w=8

Now, when l=7 we get w=1

Hence, it could be a possible value.

Also, when l=8 then w=0 which is not possible.

Similarly when l=9, w= -1 which is again not possible.

and when l=10 then w= -2  which is again not a possible dimension.

               The answer is:

                         7 in.

Answer 2
Answer: Hello,

Thus l+w=8

if l=7 =>w=1 Possible
if l=8 ==>w=0  Impossible not a rectangle
if l=9==>w=-1 not possible
if l=10 ==>w=-2 not possible.

Answer A

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What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unitconversion here:

brainly.com/question/13899873

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Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

If l || m, find the value of x.

Answers

Answer:

15

Step-by-step explanation:

(5x + 9)° = 84° (alternate angles)

5x + 9 = 84

5x = 84 - 9

5x = 75

x = 75/5

x = 15

Dirk Nowitzki of the Dallas mavericks scored 44 points in a recent basketball game. He scored no 3-point shots, but made a number of 2-point field goals and 1-point free throws. He scored 30 times. How many 2-point shots did he make? How many free throws did he make?

Answers

x - 2-point field goals
y - 1-points field goals

2x + y = 44
x + y = 30

2x = 44 - y
y = 30 - x

2x = 44 - y
y = 30 - (22 - 1/2y)

2x = 44 - y
y = 30 - 22 + 1/2y

2x = 44 - y
1/2y = 8

2x = 44 - y
y = 16

2x = 44 - 16
y = 16

2x = 28
y = 16

x = 14
y = 16 

x + y = 30
14 + 16 = 30
L = R

2x + y = 44
28 + 16 = 44
44 = 44
L = R

Answer: tnks

Step-by-step explanation: :))))))

The orthocenter of an obtuse triangle always lies __________.A.on a vertex of the triangle
B.on the inside of the triangle
C.on the outside of the triangle
D.on the triangle

Answers

the correct answer is D

How many 0.4 liter glasses of water are contained in a 5.2 - liter pitcher? How do you find it out step by step?

Answers

Let's start out with what we do know:
We have a 5.2L pitcher and 0.4L glasses and we want to know how many glasses we can fill with the 5.2L pitcher of water.

To answer that, we need to divide 5.2L by 0.4L in order to get the number of glasses (the number of 0.4L glasses that can go into a 5.2L pitcher)

So our equation will look like this:

n = (5.2L)/(0.4L) where n = number of glasses
so by doing that division we get:

n = 13
Notice that the L's cancel out leaving us with a plain number.

So a 5.2L pitcher of water can fill up 13 glasses!

Maureen owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole what bagels

Answers

Answer:

In complete questions, the completed question is in ask details

Step-by-step explanation:

Maureen has 3shops

Each sells 500bagels per day

shop A

Total bagels sample is 50 and 10 whole wheat bagels

Shop B

Total bagels sample is 100 and 23 Whole-wheat bagels

Shop C:

Total bagels sample is 25 and 7 Whole-wheat bagels.

It is noticed that the simple space of shop B is more than shop A, notice that shop B sample space is small and it can not give a reasonable valid inference.

Then, Both shop A and shop B sample space is large enough to give a reasonable valid inference