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3 years ago

Which is a counterexample for the conditional statement shown?

Mathematics

2 answers:

Sloan [31]3 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.

Alex3 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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How would I find the polynomial from the factors?

AURORKA [14]

You add and subtract what's in the parentheses and they that will give u your awnser for x I hope I helped u

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3 years ago

Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish cost $.20 per p

julsineya [31]

Answer:

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66

Step-by-step explanation:

Let us assume the cost of 1 pound salmon = $ m

So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)

Now, the Amount of salmon purchased = 2 1/2 pounds

$2\frac{1}{2} = 2 + \frac{1}{2} = 2 + 0.5 = 2.5$

So, the amount of salmon purchased = 2.5 pounds

Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)

= 2.5 ( m) = $ 2.5 m ...... (1)

Also, the Amount of swordfish purchased = 1 1/4 pounds

$1\frac{1}{4} = 1 + \frac{1}{4} = 1 + 0.25 = 1.25$

So, the amount of swordfish purchased = 1.25 pounds

Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)

= 1.25 ( m - 0.20) = $ 1.25 m - 0.25 .... (2)

Now, the combined cost paid = $ 31.25

⇒Cost of buying (2.5 pounds salmon + 1.25 pounds swordfish) = $ 31.25

or, 2.5 m + 1.25 m - 0.25 = 31.35 (from (1) and (2))

or, 3.75 m = 31.60

or, m = 31.60/3.75 = 8.43

⇒ m = $8.43

So, the cost of 1 pound salmon = m = $8.43

and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23

Hence, the combined cost 1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 = $ 16.66

6 0

3 years ago

Amal Worked a total of 30 hours last week. On Saturday And Sunday He Worked 5 times as many hours than he worked the rest of the

Lilit [14]

Let x represent the number of hours he worked during the weekdays (not Saturday or Sunday).
If x is how much he worked on the weekdays and he worked 5 times as much on Sat and Sun, then hopefully you agree that on Sat and Sun he worked 5x hours.
So we have 5x hours on the weekends and x hours on the weekdays, so in total for the whole week we have 5x + x = 6x hours in total.
The question tells us that he worked 30 hours total, so 6x = 30
Divide both sides by 6 to isolate x and we have x = 5.
He worked 5 hours the rest of the week.

Hope this helps. If it does, please be sure to make this the brainliest answer! :)

8 0

3 years ago

What is the best description for the lines

jeyben [28]

Answer:

Lines are described as connecting curve joining two points.

Step-by-step explanation:

In coordinate geometry, graph theory, we have points which do not occupy any space.

Any two points can be connected by a curve or a straight line. If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.

Straight lines would be of the form ax+by+c=0

Hence in equation form, lines would have equations in linear form of both x and y.

Lines have constant slope throughout the region.

Lines can be extended from -infinity to +infinity

Any two distinct points can make a line, but 3 points need not lie on the same line.

7 0

3 years ago

A bit stuck on how to do this

Helen [10]

Answer:

x = 40°

Step-by-step explanation:

Two sides are the same length, so the angles opposite them are the same size.

The sum of the angles = 180°. One angle is 100°, so the sum of the remaining two angles is 80°.

Since the remaining two angles are congruent, each is 40°.

8 0

3 years ago