Find the hcf by using long division method (219,1321,2320,8526)

All prime numbers are odd with the exception of two. Hence, if we consider the sum of the first million primes, it consists of one even number combined with 999,999 odd numbers. Since the product of an odd number multiplied by another odd number results in an odd number, we conclude that the sum must be an odd number, being even + odd = odd.

It's clear that an odd number ends with an odd digit, so the only digit that can be eliminated is b (an even digit).

Answer:

The Framers provides the more affordable price, being $1.35 less expensive.

Step-by-step explanation:

I've Been Framed:

50% of $115 amounts to $57.5.

10% of $57.5 equals $5.75.

Subtracting gives $57.5 - $5.75 = $51.75.

Total: $51.75

The Framers:

30% off $120 results in $36.

After discount, $120 - $36 equals $84.

40% off $84 is $33.6.

Subtracting gives $84 - $33.6 = $50.4.

Price difference: $1.35

Answer:

P-value = 0.0455

Step-by-step explanation:

This inquiry focuses on calculating the P-value in a test.

Mathematically, we establish that;

P-value = 2 * P(Z > |z|)

Please refer to the attached document for a comprehensive resolution and step-by-step explanation

Answer: 0.12

Step-by-step explanation:

There are a total of 65 candy bars. Within this amount;

2 candy bars contain 300 to 350 calories

1 candy bar contains 350 to 400 calories

4 candy bars contain 400 to 450 calories

1 candy bar contains 450 to 500 calories

Thus, the overall ratio of candy bars with more than 300 calories is;

= (2 + 1 + 4 + 1) / 65

= 8/65

= 0.12

Answer:

A. Combining one pound of pistachios with one pound of almonds costs $20.

C. Decreasing the almond quantity by one pound leads to a total price of $40.

E. The price p (in dollars) per pound of pistachios is represented by the equation 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let:

x = cost per pound of pistachios

y = cost per pound of almonds

We know that

x = y + 4 (Equation A)

2x + 3y = 48 (Equation B)

Substitute x from Equation A into Equation B:

2(y + 4) + 3y = 48

2y + 8 + 3y = 48

5y = 48 – 8

y = 8

Find x:

x = 8 + 4 = 12

Therefore, pistachios cost $12 per pound and almonds cost $8 per pound.

Verify the statements:

Case A) One pound of each equals $20.

True, since 12 + 8 = 20.

Case B) Pistachios cost twice as much as almonds.

False, because 2 × 8 = $16 ≠ $12.

Case C) Reducing almond pounds by 1 yields $40 total.

True, as 2(12) + 2(8) = 24 +16 = 40.

Case D) The almond cost modeled by 2(a – 4) + 3a = 48.

False; it should be 2(a + 4) + 3a = 48.

Case E) The pistachio cost modeled by 2p + 3(p – 4) = 48.

True, since p = a + 4 implies a = p – 4.