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3 years ago

What is the least common multiple (LCM) of 6 and 8?

2 answers:

7 0

The answer is a 24 Method
The LCM of 6 and 8 is 24, which is the multiple of the highest power of all prime factors from both numbers
6 = 2 x 3
8 = 2 x 2 x 2 x 3 = 23 x 3
Highest multiple of 2 = 23 = 8
Highest multiple of 3 = 3

(23 x 3 = 8 x 3 = 24).

Small Numbers Method (trial and error)
Start listing the multiples
6 multiples- 6, 12, 18, 24
8 multiples- 8, 16, 24
The LCM of 8 and 6 is 24.

Softa [21]3 years ago

5 0

he multiples of 6 are : 6, 12, 18, 24, 30, . . . The multiples of 8 are : 8, 16, 24, 32, 40, . . . So, the Lowest Common Multiple is 24.

A. 24

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The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?

Vlad [161]

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

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2 years ago

After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

y=2*(3)-1=6-1=5 (3,5)

Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

$d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}$

and we found the distance PQ and QA

; $d_{PQ}=\sqrt{125}$ , $d_{QA}=12$

be the APQ triangle we must find <APQ through the cosine law (graph 2).

3 0

2 years ago

5. On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14

almond37 [142]

Answer:

Option OD - 9

Step-by-step explanation:

Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.

To find : What is the average number of patients per nursing assistant?

Solution :

The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.

So, $\text{Average} =\frac{\text{Sum of patients}}{\text{Number of assistants}}$

$\text{Average} =\frac{7+8+5+9+10+10+14}{7}$

$\text{Average} =\frac{63}{7}$

$\text{Average} =9$

Therefore, The average number of patients per nursing assistant is 9.

So, Option OD is correct.

8 0

2 years ago

-4/9 (27-18)? i need some clarification and help on this question please

Lena [83]

Answer:

-4

Step-by-step explanation:

-4/9 (27-18) =

Do the parentheses first.

= -4/9 (9)

= -36/9

= -4

8 0

2 years ago

Marty's class collected $16.00 in a school-wide penny collection contest.If Tommy's class collected,x, and then multiplied the d

Gala2k [10]

Answer: A.$23.00

Step-by-step explanation:

This question is incomplete, please remember to be carful and submit the whole question :)

However, if we assume the money Tommy's class substracted from its penny collection is $\$15$ , we will have the following:

Marty's class collected $$16.00$ in a school-wide penny collection contest. If Tommy's class collected, $x$ , then substracted $\$15$ and then multiplied the difference by 2,they would have the same amount of money as Marty's class. How much money did Tommy's class collect?