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3 years ago

List the first 10 triangular numbers

Mathematics

1 answer:

Paha777 [63]3 years ago

7 0

Answer:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45

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Rectangle fence two sides will have lengths o 28 feet each and Ricky has 100 feet of fencing what is the greatest possible lengt

liraira [26]

Answer: 22

Step-by-step explanation: Perimeter of a rectangle is 2H + 2B = P

if each side has 28 feet then 28* 2 = 56. We take 100 - 56 = 44. Then we take 44/2 to find one remaining side = 22.

8 0

3 years ago

What is the measure for STU?

Vesna [10]

18q+18=180
-18. -18
18q=162
/18. /18
q=9
3q=27

8 0

3 years ago

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

3 years ago

In Mohammad’s class, 80% of the students are boys. There are 24 boys in the class. What is the total number of students in Moham

irina1246 [14]

Answer:

30 students

Step-by-step explanation:

80% of N = 24 where N is the total number of students

.80 N = 24

N = 24 / .80 = 30

sorry this was a late response

6 0

3 years ago

What is a word problem to represent the equation 3/4x=12

Svetach [21]

Answer:

Step-by-step explanation:

John had some number of apples. Niyati his girlfriend wanted 12 of johns apples. John gave niyati 3/4s of his apples what was his starting amount?

3 0

3 years ago