Answer:
line 2 has a mistake, you are supposed to add 6x to both sides and instead they subtracted
Third option is the right answer:
−2x + 4y ≥ 0
Answer:
1)
2)
3)
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒
She should invest $30000 in the 9% fund and $10000 in the 13% fund.
<u><em>Explanation</em></u>
Suppose, the amount of investment at 9% rate is dollar.
As the total amount of investment is $40000 , so the investment at 13% rate will be:
So, the amount of earnings per year from 9% fund dollar
and the amount of earnings per year from 13% fund dollar.
Given that, the <u>total earnings per year is $4000</u>. So the equation will be......
So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000