1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Effectus [21]
3 years ago
6

john is creating a rectangular garden in his backyard. the length of the garden is 16 feet. the perimeter of the garden must be

at least 70 feet and no more than 112 feet. use a compound inequality to find the range of values for the width w of the garden
Mathematics
2 answers:
Sergio [31]3 years ago
8 0

Answer:

We can write the range for w as : 19\leq w\leq 40

Step-by-step explanation:

The perimeter of rectangle is given as :

P=2(l+w)  or P=2l+2w

Where l = length and w = width

Given is : the length of the garden is 16 feet

Also given is that the perimeter of the garden must be at least 70 feet and no more than 112 feet.

So, this can be shown as :

70\leq P\leq 112

=> 70\leq (2l+2w)\leq 112

Putting l = 16

=> 70\leq (2(16)+2w)\leq 112

=> 70\leq (32+2w)\leq 112

=> 70\leq (32+2w) \leq 112

=> 70-32 \leq 2w and 2w \leq 112-32

=> 38 \leq 2w and 2w \leq 80

=> 19 \leq w and w \leq 40

So, we can write the range for w as : 19\leq w\leq 40

natka813 [3]3 years ago
5 0

Answer:


Step-by-step explanation:

Let length = x

Let width = (1/2)x+2

 

(2*length)+(2*width) = Perimeter

 

2x+2[(1/2)x+2] = 40

2x+x+4 = 40

3x+4 = 40

3x = 36

x = 12

 

Substitute this value to find the length and width.

 

length = 12 feet

width = (12/2)+2 = 8 feet

 

Lets perform a check

 

12+12+8+8 = 40

24+16 = 40

40 = 40

You might be interested in
<img src="https://tex.z-dn.net/?f=1%20%2B%20%20%5Cfrac%7Bm%7D%7B3%7D%20%20%5Cleqslant%206" id="TexFormula1" title="1 + \frac{m}
Katena32 [7]
I think it is m≤15!!
6 0
3 years ago
Find the value of 9 - 6x when x = -9.
sergij07 [2.7K]

Answer:

-63 is the answer.

7 0
3 years ago
Read 2 more answers
Preston has more than $8 in his wallet. Which inequality represents this situation?
ANEK [815]

Answer:

D

Have a great day

8 0
2 years ago
Read 2 more answers
Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
Martey drew a model of the shool library
vova2212 [387]

Answer:

Q?

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The surface area (SA) of a cube with a as the length of each of its sides is given by the formula . If the surface area is known
    9·1 answer
  • Which graph has a rate of change equal to one-third in the interval between 0 and 3 on the x-axis?
    5·2 answers
  • I really need help with this. Thank you!!
    15·1 answer
  • Which expression is equivalent to 7√x^2/5√y^3? Assume y≠0
    11·1 answer
  • Serves 4 people
    7·1 answer
  • Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
    15·1 answer
  • They keep returning and saying show work again​
    11·1 answer
  • To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d
    5·1 answer
  • point P (-4,0) lies on the directed line segment AE. The endpoints are A (2,-6) and E(x,y). What are the cooridinates of point E
    7·1 answer
  • Question 2 of 5<br> -64<br> O A. - 16<br> O B. -4<br> O C. 4 or -4<br> OD. -8
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!