Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1,3,7

Answers

Answer 1
Answer:
That's very interesting.  I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4: 
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits  1,  3,  7,  or  9  in its units place.

It CAN't have a  0,  2,  4,  5,  6,  or  8 .

The only choice that includes all of the possibilities is  'A' .


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Which pair of terms can be combined into a single term?

Answers

Answer:

Like Terms

Definition:

Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles?

Answers

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car uses 20 gallons of fuel to travel 440 miles.

This can be written as:

20 gallons = 440 miles

Divide both sides by 440.

20/4440 gallons = 1 miles

This means,

20/440 gallons is needed to travel for 1 mile.

Now,

20/440 gallons = 1 miles

Multiply both sides by 1054.

1054 x (20/440) gallons = 1054 miles

47.91 gallons = 1054 miles

This means,

47.91 gallons of fuel is used to travel 1054 miles.

Thus,

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

Learn more about unitrates here:

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if the car uses 20 gallons for 440 miles it will use 48 gallons for 1054

What is a rule for the pattern 8,6,9,7,10...

Answers

the pattern is subtracting 2 then adding 3

Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to the line that y=2x+4

Answers

y = 2x - 2

is the parallel line has a slip of 2 then your line has a slip of 2.

A small child makes 3 piles of blocks in a room. Each pile has 4 blocks. In another room, he makes 6 more piles of blocks. These piles also have 4 blocks each. To count the total number of blocks, his sister counts that there are 3 times 4, or 12 blocks, in one room and 6 times 4, or 24 blocks, in the other room for a total of 36 blocks. Using the distributive property, what is another way she could have counted the blocks?

Answers

4(3×6) is another way she could have counted them using distributive property which equals 36

Subtracting 3xy2 from 8xy2 gives the same result as the expression. A. 3xy^2 - 8xy^2 B. -7xy^2 - 2xy^2 C. 7xy^2 - 2xy^2

Answers

Answer:

Option (c) is correct.

7xy^2-2xy^2 is the correct expression

Step-by-step explanation:

 Given : Expression 3xy^2 and  8xy^2

We have to subtract 3xy^2 from  8xy^2 and choose the correct expression from the given options.

Consider the given expressions  3xy^2 and  8xy^2

we have to subtract 3xy^2 from  8xy^2

Thus, while subtracting we write term after 'from' before.

Therefore, 8xy^2-3xy^2=5xy^2 is the correct expression

Also subtracting 7xy^2-2xy^2=5xy^2 gives same result.

So, option (c) gives the same result as obtained from given expression.

Subtracting 3xy² from 8xy² is 8xy² - 3xy² = 5xy²

Answer: C. 7xy² - 2xy² = 5xy²