2 1/3 fills 3 1/2 dispensers how many fill one

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

2/3 (0.666) quantities fills one dispenser.

Step-by-step explanation:

Step 1; It is given that 2 1/3 amount of some liquid fills up 3 1/2 dispensers. First, we must convert the mixed fractions into improper fractions. To do that we multiply the number with the denominator and add with it the numerator whereas the denominator remains the same. To convert the fraction

2 1/3 we multiply the 2 with the 3 and add it with 1 while denominator remains 3, so 2 1/3 becomes 7/3. Similarly the fraction 3 1/2 converts into 7/2.

Step 2; So we have 7/3 quantities of liquid fills 7/2 dispensers. We multiply both sides by 2/7 so that the right side of the equation becomes 1 and the left side of the equation indicates the amount of liquid in 1 dispenser.

7/3 * 2/7 = 7/2 * 2/7 , 14/21 = 1 dispenser. So 14/21 = 2/3. So 2/3 or 0.666 quantity of liquid fills one dispenser.

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Please help with factoring these x²-11x+18

lozanna [386]

We want to factor x²-11x+18

In order to factor it, we must find two numbers that add to -11 and multiply to 18.

We will go through the list of factors of 18:

1, 2, 3, 6, 9, 18

We see that 9 and 2 multiply to 18. But we want two numbers that add to -11, so we will simply put a negative sign in front of 9 and 2.

-9 and -2 still multiply to 18 and they add to -11, so now we can factor the expression:

x²-11x+18 = (x-2)(x-9)

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