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2 years ago

State a counterexample to the conjecture below if a number is divisible by 6 and 2 then there’s is divisible by 12

Mathematics

2 answers:

Lisa [10]2 years ago

7 0

If there's is not divisible by 12 then the number is not divisible by 6 and 2. Hope this helps.

siniylev [52]2 years ago

4 0

Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.

Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.

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A $210 suit is marked down by 10%. Find the sale price.

Ostrovityanka [42]

Answer:

sale prices = $252

Step-by-step explanation: 280 - (280 x 10%) = 280 - 28 = $252

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2 years ago

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To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following

Nuetrik [128]

The answer is The one option C

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2 years ago

Find the slope and the y-intercept form<br>1.) Y=6x+10<br>2.) Y=100

Nadusha1986 [10]

1). The slope is 6 and the y-intercept is 10 .

2). The slope is zero and the y-intercept is 100.

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2 years ago

Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

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2 years ago

Help please!!

Semenov [28]

D. No because two points with the same x value have different y values. A function cannot have one x equal different y

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2 years ago