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ivann1987 [24]
3 years ago
10

14. Divide and write the fraction or mixed number in its simplest form:1/4÷3/8​

Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

<em>1/4 ÷ 3/8 = </em><em>2/3</em>

Step-by-step explanation:

When dividing fractions, you have to take the reciprocal of the second fraction, then multiply from there. The reciprocal of a fraction is basically flipped. So then, 1/4 ÷ 3/8 becomes 1/4 x 3/8. Multiplying fractions should be pretty straight forward as you just need to multiply numerator (top number of a fraction) with numerator and vice versa for the denominators (bottom number of a fraction).

So then you get: (1 x 8)/(3 x 4) = 8/12. Then you just simplify it by dividing the numerator and denominator by their greatest possible factor, which in this case is 4. So then, (8 ÷ 4)/(12 ÷ 4) = 2/3.

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Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $
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Answer:

The value of Nick's consumer surplus for the milkshakes he buys is $3.

Step-by-step explanation:

Given : Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $3, for the third milkshake $2 and for the fourth milkshake $1.

To find : What is the value of Nick's consumer surplus for the milkshakes he buys?

Solution :

Nick can purchase each milkshake for $2.

For 1st milkshake purchased Nick is willing to pay $4

Consume surplus $4-$2=$2

For 2nd milkshake purchased Nick is willing to pay $3

Consume surplus $3-$2=$1

For 3rd milkshake purchased Nick is willing to pay $2

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For 4th milkshake purchased Nick is willing to pay $1

Consume surplus $1-$2=$-1 cannot be consider.

We add together the surplus from the 1st, 2nd, 3rd, and 4th milkshake

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What are the domain and range of f(x) = 4x – 8? A. domain: {x | x is a real number}; range: {y | y &gt; –8} B. domain: {x | x is
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Step-by-step explanation:

Domain of a function are the minimum and maximum values of independent variable (x).

You are given the function:

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The domain can be any real numbers.

Range is the minimum to maximum value of dependent variable ( y )

From the given equation:

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If the value of domain are substituted, the range will also be any real numbers.

Non of the answers is correct because both the domain and the range are all real numbers.

But the best option among the given option is option A:

domain: {x | x is a real number}; range: {y | y > –8}

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