How to graph the slope for y=5x +2

If y equal to-1 calculate the value of the expression

Leni [432]

Answer:

thiếu giữ liệu không thể trả lời được

Step-by-step explanation:

3 0

3 years ago

Raina must choose a number between 55 and 101 that is a multiple of 2, 8 and 10. Write all the numbers that she could choose. If

Aleonysh [2.5K]

Answer:

The only possible number is $80$ .

Step-by-step explanation:

The number in question needs to be a multiple of all three of $2$ , $8$ , and $10$ . As a result, it must also be a multiple of the least common multiplier (lcm) of the three number.

Start by finding the least common multiplier of the three numbers.

Factor each number into its prime components:

$2$ is a prime number itself.
$8 = 2^3$ .
$10 = 2 \times 5$ .

The only prime factors are $2$ and $5$ .

The greatest power of $2$ among the three numbers is $3$ .
The greatest power of $5$ among the three numbers is $1$ .

Therefore, the least common multiplier of the three number should be the product of $2^3$ and $5$ . That's equal to $2^3 \times 5 = 8 \times 5 = 40$ .

In other words, the number (or numbers) in question could be written in the form $40\, k$ , where $k$ is an integer.

The question requires that this number be between $55$ and $101$ . In other words,

$55 \le 40\, k \le 101$ .

The goal is to find the possible values of $k$ . Note that from integer division by $40$ ,

$55 = 1 \times 40 + 15$ , and
$101 = 2 \times 40 + 21$ .

The inequality becomes:

$1 \times 40 + 15 \le 40\, k \le 2 \times 40 + 21$ .

However,

$1 \times 40 < 55 = 1 \times 40 + 15$ , and
$2 \times 40 + 21 = 101 < 3 \times 40$ .

Hence,

$1 \times 40 < 1\times 40 + 15 \le 40\, k \le 2 \times 40 + 21 < 3 \times 40$ .

$1 \times 40 < 40\, k < 3 \times 40$ .

Divide by the positive number $40$ to obtain:

$1 < k < 3$ .

Since $k$ is an integers, $k = 2$ .

Indeed, $40 \, k = 80$ is between $55$ and $101$ .

Therefore, $80$ is the number in question.

5 0

4 years ago

Read 2 more answers

30 45 60 Which is it? Help please

blagie [28]

Answer:

D = 90°

Step-by-step explanation:

the square on the angle means its a right angle and right angle is always 90°

3 0

3 years ago

What is the variable equation for 5 less than twice a number is 7?

lianna [129]

Answer:

2n - 5 = 7

Step-by-step explanation:

Let the number = n

Twice a number = 2n

5 less than twice a number = 2n - 5

2n - 5 = 7

3 0

4 years ago

It says in my homework sheet 'Rename each pair of fractions with common denominators'. But I seem to have problems with it. I do

Kaylis [27]

So basically it sounds like it wants you to make the denominators match.
Here's an example:

3/4 and 1/2
First you would find the Least Common Multiple (LCM), which of these two numbers is 4.
3/4 and 2/4 Then you would multiply the denominator the same amount you multiplied the denominator.

and voila! 3/4 and 2/4 have matching denominators

Please ask questions if you are still confused!

8 0

3 years ago