3 years ago

Please help me! What does CI = ?

1 answer:

3 0

I being the intercenter of the triangle means that IA = BI= CI

CI = 52-2X

AI = 3X +7 ==> AI = IC ==> 3X+7 = 52-2X SOLVE FOR X

3X+2X = 52-7 ==> 5X = 45 & X =9

IF X = 9 THEN IC = 52-2(9) = 34. IC =34

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How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

konstantin123 [22]

Answer:

7.5 liters of a 40% sugar solution

Step-by-step explanation:

Let

x ----> liters of a 40% sugar solution

Remember that

$40\%=40/100=0.40\\60\%=60/100=0.60\\56\%=56/100=0.56$

we know that

The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56

$0.40x+0.60(30)=0.56(x+30)$