Answer:
I believe the answer is $409.91
Step-by-step explanation:
4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13
When x = -3, x - 2 = -5, x + 2 = -1
Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.
That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.
Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
Answer:
$720
$360
Step-by-step explanation:
Let the cost of couch be A and that of coffee table be B
Given couch and coffee table cost $1080
That’s
A + B = $1080
Also, the cost of couch A is 2 times the cost of coffeee table B.
That’s
A = 2B
We now have two equations
A + B = 1080
A = 2B
Now ,substitute 2B for A in the first equation .
We have
A + B = 1080
2B + B = 1080
3B = 1080
Divide both sides by 3
3B/3 = 1080/3
B = 360
The coffee table cost $360
Remember A = 2B
Therefore
A = 2 x $360
A = $720
The couch cost $720 while the coffee table cost $360
Answer:
3.42582025
Step-by-step explanation:
According to a high-standard calculator, this is the answer.
Hope I helped:)!!
<span>At a 3% increase you would use 1.03 * 1000 L = 1030 L next year</span>
