All categories

2 years ago

Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?

Mathematics

1 answer:

yan [13]2 years ago

3 0

9514 1404 393

Answer:

C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

You might be interested in

Brianna answered 80% of the questions correct on her math test. Which fraction represents the number of questions she answered c

LiRa [457]

Answer: 4/5

Step-by-step explanation:

80% is 80/100

80/100 simplified is 4/5

7 0

3 years ago

Read 2 more answers

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposited $500 into the a

zhuklara [117]

Answer:

$275

Step-by-step explanation:

This is what I got:

You first convert 2.75% into 0.0275

You then multiply 500 x 0.0275 = 13.75

Finally you multiply 13.75 x 20 = 275

so the answer should be 275

5 0

3 years ago

Change 1.77 tones to kilograms

Anastasy [175]

Answer:

1.77 Tones = 1770 Kilograms

Step-by-step explanation:

Multiply the value of the tone by 1000 to get KG

1.77 x 1000 = 1770

6 0

2 years ago

Read 2 more answers

2) A circle has a radius of 8 cm. What is its circumference? 8 cm

egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0

3 years ago

1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually

Hoochie [10]

Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : $FV=\$25,000$