Answer:
27. (2x + 3)(x + 5)
Step-by-step explanation:
27.
Use the 'ac' method
a*c = 2 * 15 = 30
We need 2 numbers whose product is 30 and whose sum is 13.
3 and 10 look good so we write
2x^2 + 10x + 3x + 15
= 2x(x + 5) + 3(x + 5)
= (2x + 3)(x + 5) answer
Answer:
2/15 cant be simplified any further
Step-by-step explanation:
1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
For given question,
Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,
Thus,
Quantity of glycerin in 12 liters + Quantity of glycerin in x
= Quantity of glycerin in resultant mixture.
⇒ 8% of 12 + 100% of x = 16% of (12 + x )
⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )
⇒ 0.96 + x = 0.16 × 12 + 0.16x
⇒ 0.96 + x = 1.92 + 0.16x
⇒ x - 0.16x = 1.92 - 0.96
⇒ 0.84x = 0.96
⇒ x = 1.143 liters
Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
Learn more about the resulting solution here:
brainly.com/question/12051765
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12!!!! Hope this helped and good encouragement
