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Minchanka [31]
3 years ago
6

How many prime numbers between 8 and 60 leave a remainder of 2 when divided by 6?

Mathematics
1 answer:
dedylja [7]3 years ago
3 0
Hey there!! :D




Prime Number: Is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.




If you list out all of the prime numbers between 8 and 60 and divide each one by 6, you will notice that the remainder ends with either 1or 5 and not 2.



So your answer would be A) 0



Hope this helps!!

Have A Fantastic Weekend!!
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X in (-oo:+oo)

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x^7 = 0

x = 0

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If five times the successor of a number is added to an original number the sum is 83
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Answer:

Let the original number be x

Successor is defined as the number which comes immediately after a particular number.

also, the  successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

As per the given condition :

we have;

5(x+1)+x =83

Using distributive property on LHS (i.e, a\cdot(b+c)=a\cdot b+a\cdot c )

Then, we have

5x+5+x=83

Combine like terms;

6x+5=83

Subtract 5 from both the sides we get;

6x+5-5=83-5

Simplify:

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Divide both side by 6,

\frac{6x}{6} =\frac{78}{6}

Simplify:

x =13

Therefore, the original number x is, 13


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3 years ago
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 11 gallon of gas, to fill the go cart
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Answer:

This question is incomplete as no image was attached. Please find the missing image in the attachment. Also, this is the correct question:  

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inches^3. How many full gas cans will it take to fill the go cart's gas tank?

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Step-by-step explanation:

From the image, we have the following dimensions:

length, l = 15.4 inches (in)

width, w = 10 in

height, h = 3 in.

The volume of the gas tank (which is rectangular) is given as:

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NB: The unit of volume is cubic units. In this example, it is cubic inches.

The gas can being used to fill the tank holds 1 gallon of gas = 231in^{3}

The total volume to be filled is 462in^{3} of gas.

So, it will take  \frac{462in^{3} }{231in^{3} } = 2  full gas cans to fill the go cart's gas tank.

Therefore, the answer is 2.

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