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2 years ago

Which is a counterexample for the conditional statement shown?

Mathematics

2 answers:

Sloan [31]2 years ago

3 0

Answer: Any fraction with a positive numerator and a negative denominator

Step-by-step explanation:

A counterexample in math refers to when a condition is satisfied but the result is not the conclusion that the statement said it would lead to.

In this instance, the statement is that if the numerator of the fraction is larger than the denominator, the result will be greater than 1.

If the numerator is positive and the denominator is negative then the numerator is larger than the denominator because all positive numbers are larger than negative numbers on the number line. However, the result will always be less than 1.

For instance, take the following fractions;

$\frac{5}{-2} = -2.5\\\\\frac{20}{-5} = -4\\\\\frac{50}{-10} = -5$

In each case the numerator was larger than the denominator but the result was always less than 1.

Alex2 years ago

3 0

Answer:

C. any fraction with a positive numerator and a negative denominator

Step-by-step explanation:

1/-1 = -1

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Suppose that

svlad2 [7]

If 15 inches of wire costs 45 cents, that means each inch of wire costs 3 cents. So 12 inches of wire will cost 36 cents.

6 0

3 years ago

3<br> Which expression is closest in value to 5.66?

Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

$\dfrac{\pi}{2} + \pi$

Let consider π = 3.14

$\dfrac{3.14}{2} + 3.14$

$1.57 + 3.14$

$4.71 \: (approx.)$

B) GiveN:

$2\pi - 1$

Here also, let's consider the value be 3.14

$2 \times 3.14 - 1$

$6.28 - 1$

$5.28 \: (approx.)$

C) GiveN:

$4 \sqrt{2}$

Let's consider the value of √2 be 1.414

$4 \times 1.414$

$5.6516 \: (approx.)$

D) GiveN:

$8 - \sqrt{3}$

Let's consider the value of √3 be 1.732

$8 - 1.732$

$6.268 \: (approx.)$

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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6 0

2 years ago

Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which s

ExtremeBDS [4]

Answer:It is 100 times as great in the ZIP code than it is in the area code

Step-by-step explanation:

step 1

Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500

Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5

it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code

Step 2:

Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.

3 0

3 years ago

Find the area of the carpet tile. Then find the area covered by 120 carpet tiles.

weqwewe [10]

The area of the carpet is the amount of space it occupies

The area of the carpet tile is 256 square inches
The area covered by 120 tiles is 30720 squares inches

<h3>How to determine the carpet area</h3>

The dimension of the carpet tile is 16 inches by 16 inches

So, the area is:

$Area = 16 * 16$

Evaluate the product

$Area = 256$

Hence, the area of the carpet tile is 256 square inches

For 120 carpet tiles, the area is:

$Area = 120 * 256$

$Area = 30720$

Hence, the area covered by 120 tiles is 30720 squares inches