What composite number is greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats three times and 1 prime number that repeats twice?

Answers

Answer 1

Answer:

Final answer:

The composite number sought is 12250 which is greater than 1000. Its prime factorization includes the prime numbers 2 (that does not repeat), 5 (that repeats thrice), and 7 (that repeats twice).

Explanation:

The subject is looking for a composite number greater than 1000, whose prime factorization contains 3 types of prime numbers: one that does not repeat, the second repeats three times, and the third repeats twice. We have many prime numbers but to get a number greater than 1000, let’s use larger prime numbers for instance 2, 5 and 7. Let's calculate the composite number with these primes:

2^1 * 5^3 * 7^2 = 2 * 125 * 49 = 12250

Therefore, 12250 is a composite number greater than 1000 whose prime factorization contains 1 prime number(2) that does not repeat, 1 prime number(5) that repeats three times and 1 prime number(7) that repeats twice.

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How can we tell if a number is divisible by 4? A. The last two digits of the number are divisible by 4 B. The sum of the digits is 4 C. The sum of the digits is divisible by 4 D. The last digit is divisible by 4

Answers

A, the last two digits of the number are divisible by 4

A is the correct answer. We all know that 100 is divisible by 4, so any multiple of 100 is also divisible by 4 (ex. 500, 1500, etc.)z Therefore, any number can be divisible by 4 regardless of what is in the hundreds place and above. What counts is the last two digits of the number, the tens and ones places. For example, let's look at 334 and 324. 34 is not divisible by 4, therefore 334 is not divisible by 4. 24 is divisible by 4, therefore 324 is divisible by 4. Check in a calculator for proof!

How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36

Answers

The answer is one. First, these are both straight lines, meaning they will have one intersection point. In order to find the intersections of these two lines, we must set them equal to one another. So x + 5y = 6 equals 3x + 30y = 36. When you solve the two equations together, you'll get one intersection point at (0 , 1.2).

Answer:

option B. one

Step-by-step explanation:

3. Calculate.
a) 0 - 9 =

Answers

That would be -9 should be Roth

Answer:

Step-by-step explanation:

-9

Solve the following inequality using the algebraic approach:5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4

Answers

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

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Answer:

b. x less-than StartFraction 10 Over 3 End fraction

PLS HeELP ASAP ILL GIVE BRAINLIEST TYVM PLS

Answers

The first one is Y= x+9 and the second one is y=x-2

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B coffee costs $4.15 per pound. This month, Sam made 142 pounds of the blend, for a total cost of $688.50. How many pounds of type B coffee did he use?

Answers

Answer:

165.90 pounds

Step-by-step explanation:

Answer:

165.90

Step-by-step explanation:

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