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Arte-miy333 [17]
2 years ago
11

Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correc

t. Justify your answer.
Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

No

Step-by-step explanation:

(12 + 31) × 5 = 215

12 + 31 × 5 = 167

order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.

Order of Operations :

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

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I think its 55.5

Step-by-step explanation

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Each week Suzanne and Sarah drink 2 gallons of milk.HGow many iounces of milk do they drink each Week ?
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G = 128 fl oz
128 * 2 = 256
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35.4% expressed as a decimal becomes<br> A.35.54<br> B. 0.354<br> C. 35.0<br> D.354
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35.4 expressed as a decimal is 
B. 0.354
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Plzzz help<br><br> -7/9 times 9/8 in fraction form
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Step-by-step explanation:

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3 years ago
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From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the a
padilas [110]

Answer:

See explanation

Step-by-step explanation:

Given:

50 liter container

40% concentration of acid

x liters are removed and replaced with 100% acid

(A)

Acid in 50-liter container =  40% of 50 liters

                                          = (40/100) * 50

                                          = 0.4 * 50

                                          = 20

So there are 20 liters amount of acid in 50 liter container.

Now x liters are removed and replaced with 100% acid

The acid in x-liter

40% of x liters = (40/100) * x  = 0.4 * x

When x liters are removed then amount of acid that remained in container:

20 - 40% of x liters = 20 -  (40/100) * x  = 20 - 0.4 * x

This can also be written as:

(50-x) (40/100) =  (40*50/100) - (40*x/100) = 2000/100 - 40x/100 =  20 - 2x/5

Since x liters replaced with 100% acid so this becomes:

20 - 40% of x liters + 100% of x liters

= 20 -  (40/100) * x + 100/100 * x

= 20 - (40/100) x + (100/100)x

= 20 +  (100-40/100)x

= 20 + (60/100)x

= 20 + 0.6 x    

This can also be written as:

20 - 2x/5 + x = 20 + 3x/5 =  20 + 0.6 x

Hence the amount of acid in the final mixture as a function of x:

f(x) = 20 + 0.6 x

(B)

The value of x can not be greater than 50 liters and can not be lesser than 0 liters.  

so, range is [0, 50] where both 0 and 50 are inclusive.  

(C)

Since final mixture is 50% acid So

Acid = 50% of 50 litres =

        = (50/100) * 50

        = 1/2 * 50

         = 50/2

        = 25

Put 25 in the computed function of x

20 + 0.6 x = 25

0.6x = 25 - 20

0.6x = 5

x = 5/0.6

x = 8.333333

x = 8.3 liters

3 0
3 years ago
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