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
beks73 [17]
4 years ago
15

A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the d

istance around should be no more than 450 ft. Which system of inequalities and graph represents the possible dimensions of the backyard?

Mathematics
1 answer:
Butoxors [25]4 years ago
7 0

Answer:

Option: A is correct.

Step-by-step explanation:

Since we are given a information that:

A contractor needs to fence a rectangular backyard for a client.

(1) The length of the backyard should be at least(gretaer than or equal to)            

     150 ft.

     The length of the backyard is denoted by 'y' as in the graph.

  Hence according to statement (1) we have:

           y≥ 150

(2) The distance around should be no more than 450 ft.

This means that the  perimeter has to be less than or equal to 450 ft.

                 Hence, 2x+2y ≤ 450.

So such inequalitiies on graphing will give the graph same as in A option.

Hence option A is correct    


You might be interested in
The next month, Tamiko develops a budget for her income. One-fourth of her
omeli [17]

Answer:

$79.7

Step-by-step explanation:

Total income is $(234.8 + 64 + 20) = $318.8

Now, One-fourth of her income is budgeted for car insurance i.e. (318.8 \times \frac{1}{4}) = 79.7 dollars.

And, 1/10  of her income is budgeted for gasoline i.e. (318.8 \times \frac{1}{10}) = 31.88 dollars.

Finally, 2/5  of her income is budgeted for savings i.e. (318.8 \times \frac{2}{5}) = 127.52 dollars.

Therefore, the remaining amount of her income = $(318.8 - 79.7 - 31.88 - 127.52) = $79.7 is left for her spending. (Answer)

6 0
4 years ago
How do I simplify 55/35
Stolb23 [73]

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

8 0
3 years ago
Standard form of the equation that goes through (1, 2) with a slope of 7, please!
Radda [10]

Answer:

7x - y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Obtain the equation in point- slope form and rearrange into standard form.

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 7 and (a, b) = (1, 2)

y - 2 = 7(x - 1) ← in point- slope form

y - 2 = 7x - 7 ( subtract y from both sides )

- 2 = 7x - y - 7 ( add 7 to both sides )

5 = 7x - y , that is

7x - y = 5 ← in standard form

7 0
3 years ago
Y&gt;-3x +3<br> y≥ 2x-2<br> O (1,0)<br> O (-1,1)<br> O(2,2)<br> (0,3)
Ainat [17]

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

<u>- (y≥ 2x-2)</u>

0 \geq -5x + 5

5x \geq 5

x \geq 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

3 0
2 years ago
What is 3x+112=5x+100
Gre4nikov [31]

Answer:

x=6

Step-by-step explanation:

3x+11=5x+100

move terms

3x-5x=100-112

subtract 3x to 5x and subtract 100 to 112

-2x=-12

divide both sides by -2

x=6

8 0
3 years ago
Read 2 more answers
Other questions:
  • Your class has 30 students. if 1/3 of them walk to school, how many students in your class walk to school
    14·1 answer
  • Solve for x: |2x + 12| = 18
    14·1 answer
  • Please help I don't understand my math homework
    5·2 answers
  • -2x+3-(5-6x) simplify please
    8·2 answers
  • A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bu
    13·1 answer
  • Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
    9·1 answer
  • Amelia decided to order breadsticks and a pizza.
    6·2 answers
  • Find the value of x that will make L||M. <br> Please help me on this!!!! I need this done ASAP!!!!
    9·1 answer
  • Which is the right triangle
    14·1 answer
  • PLEASE HELP! Thank you in advance! :3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!