Let <em>f</em> and <em>s</em> denote the amounts of the <u>f</u>irst and <u>s</u>econd brands that the chef is going to use.
She wants to end up with 290 mL, so
<em>f</em> + <em>s</em> = 290
Each mL of the first brand contains 0.08 mL of vinegar, and each mL of the second contains 0.13 mL of vinegar. The final mixture should have a concentration of 12% vinegar, so that it contains 0.12 • 290 mL = 34.8 mL of vinegar, and
0.08<em>f</em> + 0.13<em>s</em> = 34.8
Solve for <em>f</em> and <em>s</em> :
<em>f</em> + <em>s</em> = 290 → <em>s</em> = 290 - <em>f</em>
0.08<em>f</em> + 0.13 (290 - <em>f </em>) = 34.8
0.08<em>f</em> + 37.7 - 0.13<em>f</em> = 34.8
0.05<em>f</em> = 2.9
<em>f</em> = 58
<em>s</em> = 290 - 58
<em>s</em> = 232
I’m not sure about the answers
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 ⇒
<span>x^0 y^-3 / x^2 y^-1
= 1 / </span> x^2 y^-1 (y^3) ...because x^0 = 1 and [(y^-1) (y^3)] = y^2<span>
= 1/(x^2 y^2)</span>