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geniusboy [140]
3 years ago
7

Jamie wants to build a rectangular fence around a new chicken pen he can afford at most 70 ft long of fencing and must fit the p

en in a space that is 10 ft by 2"12 ft could the pen measure 9ft by 22ft why or why not
Mathematics
2 answers:
Sophie [7]3 years ago
6 0

Using the perimeter of a rectangle, it is found that:

With these dimensions, the pen would have a <u>greater perimeter than the space</u>, thus the pen could not measure 9ft by 22ft.

---------------------

The perimeter of a <u>rectangle of length l and width w</u> is given by:

P = 2(l + w)

---------------------

  • The space has dimensions of 10 ft by 2''12ft = 12.17ft. Thus, the <em>perimeter </em>is, in feet:

P = 2(10 + 12.17) = 2(22.17) = 44.34

---------------------

  • The pen, with dimensions of 9ft by 22ft, will have a <em>perimeter, </em>in feet,<em> </em>of:

P = 2(9 + 22) = 2(31) = 62

With these dimensions, the pen would have a <u>greater perimeter than the space</u>, thus the pen could not measure 9ft by 22ft.

A similar problem is given at brainly.com/question/10489198

DiKsa [7]3 years ago
3 0

“No; (9, 22) is a solution to the system of inequalities, but 22 ft is too long to fit in the space.”

i chose this answer choice and got points for it :)

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Pls help!! need answer asap!!
Serggg [28]

Answer:

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

Step-by-step explanation: v1 = 60 km/h average speed by bus to Toronto

v2 = 700 km/h average speed by plane to Winnipeg

d = 1,900 km the total distance traveled

t = 7 h total traveling time

t1 = the time of the travel by bug

t2 = the time of the travel by plane

t = t1 + t2 the total time

d1 = the distance traveled by bus

d2 = the distance traveled by plane

d = d1 + d2 the total distance

Since average speed = distance/time we have time = distance/avg.speed

t1 = d1/v1 that is t1 = d1/60

t2 = d2/v2 that is t2 = d2/700

Plug the above values into t1 + t2 = t.

We have the following system of equations:

d1/60 + d2/700 = 7

d1 + d2 = 1900

.......

Click here to see the step by step solution for 'd1' and 'd2'

.......

d1 = 281.25 km

d2 = 1,618.75 km

Carl traveled 281.25 km by bus and 1,618.75 km by plane.

8 0
3 years ago
Round 2.261 to the nearest half?
Nataly_w [17]

Answer:

Awesome question! Rounded to the nearest half would be 2.0.

Step-by-step explanation:

8 0
4 years ago
Devon needs to come up with ordered pairs that make up the line for this linear equation 3y - 3x =
ololo11 [35]

Answer:

Step-by-step explanation:

The given linear equation can be reduced, ending up as  

y - x = 4   or   y = x + 4

If we choose our own x values, we can calculate the corresponding y value in each case:

x     y = x + 4    ordered pairs

0     4                (0, 4)

1      5                 (1, 5)

3      7                (3, 7)

-2     2                (-2, 2)

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How many possibilities are there for the win, place, and show (first, second, and third) positions in a horse race with 12 horse
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4 years ago
(HELP ASAP) Use numerals instead of words.
Bad White [126]

Answers:

  • -1 in the first box
  • 19/2 or 9.5 in the second box
  • -12 in the third box

=================================================

Work Shown:

We'll use the template y = ax^2 + bx + c

  • If (x,y) = (2,3) is on the parabola, then y = ax^2+bx+c turns into 3 = a(2)^2 + b(2) + c. That simplifies to 4a+2b+c = 3
  • If (x,y) = (6,9) is on the parabola, then y = ax^2+bx+c turns into 9 = a(6)^2 + b(6) + c. That simplifies to 36a+6b+c = 9
  • If (x,y) = (8,0) is on the parabola, then y = ax^2+bx+c turns into 0 = a(8)^2 + b(8) + c. That simplifies to 64a+8b+c = 0

The system of equations is

\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}

We have 3 equations and 3 unknowns.

-----------------------------------

Let's solve the first equation for c

4a+2b+c = 3

2b+c = 3-4a

c = 3-4a-2b

c = -4a-2b+3

Plug that into the second equation and simplify

36a+6b+c = 9

36a+6b+(-4a-2b+3) = 9

32a+4b+3 = 9

32a+4b = 9-3

32a+4b = 6

2(16a+2b) = 6

16a+2b = 6/2

16a+2b = 3 .... we'll use this later

Plug that value of c into the third equation as well

64a+8b+c = 0

64a+8b+(-4a-2b+3) = 0

60a+6b+3 = 0

3(20a+2b+1) = 0

20a+2b+1 = 0

20a+2b = -1

--------------------------

We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.

\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}

Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)

The 'a' terms subtract to 16a-20a = -4a

The terms on the right hand side subtract to 3-(-1) = 3+1 = 4

We end up with the equation -4a = 4 which solves to a = -1

Use this value of 'a' to find b

16a+2b = 3

16(-1)+2b = 3

-16+2b = 3

2b = 3+16

2b = 19

b = 19/2

b = 9.5

Now use the values of a and b to find c

4a+2b+c = 3

4(-1)+2(9.5)+c = 3

-4+19+c = 3

15+c = 3

c = 3-15

c = -12

--------------------------

Summary:

The values of a,b,c we found were

  • a = -1
  • b = 19/2 = 9.5
  • c = -12

So the function is

f(x) = -x^2 + (19/2)x - 12

which is equivalent to

f(x) = -x^2 + 9.5x - 12

To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.

4 0
3 years ago
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