Let
x-------> the width of the rectangular area
y------> the length of the rectangular area
we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2
substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft
see the attached figure
the solution is<span> the shaded area</span>
"r < 3 or r > 2" is the one among the following choices given in the question that <span>could have resulted in this solution set. The correct option among all the options that are given in the question is the fourth option or option "d". I hope that this is the answer that has actually come to your desired help.</span>
The answer to the monthly payment is $257.1428571 or $258.
How to get the answer:
Simply minus $5555 to $555. You get $5000.
Then, divide $5000 to the number of payments which is 42. (5000/42)
For that, you get a total of 119.047619. But that is not the final answer yet.
Next, we will multiply 119.047619 to 12, because we are looking for the monthly payment and we were given an "annual" rate. Annual means yearly and every year we have twelve (12) months. In that case, 119.047619 multiplied by 12 is equal to 1428.571428. Still, it is not the final answer.
The last step is, we will multiply the answer 1428.571428 to 18% or .18 and we get a total of 257.142857. Since we used the unit $ then we will a dollar for the answer. Completing the answer to the ]question, we get a total of $257.142857 or $258 for the monthly payment.
Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Step-by-step explanation:
Is x = 4 a solution to the equation 6 = x + 2? YES
we cans solve the equation 6=x+2 by clearing for x:
6 = x + 2
we move the +2 on the right as a -2 to the left:
6 - 2 = x
4 = x
this way we find that indeed x = 4 is a solution to 6 = x + 2.
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Let's solve the inequality by clearing for x:
2x ≥ 9
we move the 2 that is multiplying on the left to divide on the right side:
x ≥ 9/2
x ≥ 4.5 ⇒ <u>x must be greater than or equal to 4.5</u>
thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5
Answer:
So its all there
Step-by-step explanation: is included
