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IrinaK [193]
2 years ago
7

To make the chocolate shake, Dona added 40 mL of chocolate syrup, 200 mL of milk, and 400 mL of water. How much milk, in liters,

would be required if she uses 450 mL of water? a. 0.225 c. 225 b. 0.45 d. 0.05
Mathematics
1 answer:
kykrilka [37]2 years ago
4 0

Answer:

Step-by-step explanation:

Ratio of water and milk are in direct proportion

200 : 400 :: x : 450

Product of means =  product of extremes

       400 * x =  200 * 450

                 x = \frac{200*450}{400}

                    = 225 ml of milk

   1 ml = 1/1000 l

225 ml = 225 ÷ 1000 = 0.225 l

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Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

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Step 1. Find ( f + g ) ( x )

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Step 2. Find ( f + g ) ( 2 )

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Since ( f + g ) ( x ) = x2

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Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

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Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

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+ 1 ) ( x – 4 )

= x

3

– 4 x2

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Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

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( f g ) ( 3 ) = (3)3

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Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

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=

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Step-by-step explanation:

did this Help?

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