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djyliett [7]
3 years ago
10

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]3 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]3 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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There are 276 nickels. How many whole dollars can be made from this and with how many nickels left over?
cupoosta [38]
1 nickel = 5 cents
1 dollar = 20 nickels


You can make 13 dollars plus 16 nickels left over

20 * 13  = 260 
then 260 + 16 = 276 
6 0
3 years ago
A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many
lbvjy [14]
V=hpir²


1/2 full

Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100

so

V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3

divide by 1000
3926.99 liters
about 3927 liters
7 0
3 years ago
Read 2 more answers
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
iris [78.8K]

Answer to Question 1:

<OGE (also m˚) = 19˚

Step-by-step explanation:

We know that all the angles in a triangle add up to 180˚.

<u>Given:</u>

<EGO = 71˚

<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)

<u>To Solve:</u>

⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:

71˚ + 90˚ + <OGE = 180˚

⇒ Solve for <OGE by simplifying:

161˚ + <OGE = 180˚

⇒ Subtract 161˚ from both sides to get:

161˚ − 161˚ + <OGE = 180˚ − 161˚

⇒ Isolate <OGE:

<OGE = 19˚

<u>Answer:</u> <OGE (also m˚) = 19˚

Answer:

<OAC (also x˚) = 50˚

<OCB (also y˚) = 90˚

Step-by-step explanation:

–<u>How to solve for <OCB (also y˚)</u>

Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.

<u>Answer:</u> <OCB (also y˚) = 90˚

–<u>How to solve for <OAC (also x˚)</u>

<u>Given (and what we can already know):</u>

<AOC = 40˚

<OCA = 90˚

⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.

<u>To Solve:</u>

⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:

40˚ + 90˚ + <OAC = 180˚

⇒ Solve for <OAC by simplifying:

130˚ + <OAC = 180˚

⇒ Subtract 130˚ from both sides to get:

130˚ − 130˚ + <OAC = 180˚ − 130˚

⇒ Isolate <OAC:

<OAC = 50˚

<u>Answer:</u> <OAC (also x˚) = 50˚

I hope you understand and that this helps with your question! :)

3 0
3 years ago
If a person walks 2.4 miles in 1.5 hours,how far can he walk in 3 hours
expeople1 [14]
1.5 hours is half of 3
so 1.5+1.5=3 and 2.4+2.4=4.8
That person can walk 4.8 miles in 3 hours
Hope I helped :)
5 0
3 years ago
Read 2 more answers
Let f(x) = 4x - 5 and g(x) = 6x - 3. Find f(x) - g(x).
professor190 [17]
F(X) = 4x - 5
G(X) = 6x - 3

F(x) - G(x)

(4x - 5) - (6x - 3)

4x - 5 - 6x + 3

-2x - 2

-2(X + 1).

I believe this would be the simplified solution.
3 0
3 years ago
Read 2 more answers
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