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anygoal [31]
2 years ago
13

What’s the least common multiple of each group of numbers? A. 5 and 6 b. 2 and 9 c. 6 and 8 d. 2, 5, and 6

Mathematics
2 answers:
Lostsunrise [7]2 years ago
8 0

Answer:

A) 30

B) 18

C) 24

D) 30

Step-by-step explanation:

alexira [117]2 years ago
5 0

For this case we have that by definition, the LCM of two or more natural numbers is the smallest natural number that is a common multiple of all of them.

So:

A. 5 and 6

The LCM of 5 and 6 is the smallest positive integer that divides the numbers 5 and 6 without leaving a residue.

multiples:

5: 10,15,20,25,30,35,40,45

6: 12,18,24,30,36

LCM = 30

B. 2 and 9

Multiplos:

2: 4,6,8,10,12,14,16,18

9: 18,27

LCM = 18

C. 6 and 8

6: 12,18,24,30,36

8:16, 24

LCM = 24

D. 2,5 and 6

Multiplos:

2: 4,6,8,10,12,14,16,18 ..., 30

5: 10,15,20,25,30,35,40,45

6: 12,18,24,30,36

LCM = 30

Answer:

a.30

b.18

c.24

d.30

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Simplify the expression 4p−5(p+6)
VLD [36.1K]

Answer:

−p−30

Step-by-step explanation:

Let's simplify step-by-step.

4p−5(p+6)

Distribute:

=4p+(−5)(p)+(−5)(6)

=4p+−5p+−30

Combine Like Terms:

=4p+−5p+−30

=(4p+−5p)+(−30)

=−p+−30

Answer:

=−p−30

6 0
2 years ago
Writing two column proofs<br> Given: BC bisects. ABD M ABD =52° prove: mABC=26°
Artemon [7]

Given

BC bisects ABD

∠ ABD =52°

prove: m ∠ABC=26°

To proof

As given in the question

BC bisects ∠ABD

This means BC divided ∠ABD into the two equal parts.

Therefore

\angle ABC = \frac{1}{2}\angle ABD

As given

∠ABD = 52°

put this in the above value

we get

\angle ABC =\frac{1}{2}52^{\circ}

∠ABC = 26°

Hence proved

 


8 0
2 years ago
Read 2 more answers
Most graduate business schools require applicants to take the gmat. scores on this test are approximately normally distributed w
Harman [31]
We are looking for the probability :
P(X > n)=0.05
Transform the law to standard normal like this:
P(\dfrac{X-545}{100}> \dfrac{n-545}{100})=0.05
The above formula is equivalent to this one:
P(\dfrac{X-545}{100}< \dfrac{n-545}{100})=0.95
From normal law table, we read the value of \dfrac{X-545}{100}.
\dfrac{X-545}{100}=1.7
Solving the above equation for the score n:
X-545=170
X=715, it is the score we are looking for. 
5 0
2 years ago
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. Wh
stira [4]

Answer:

according to the equation it is 158.330917...

Step-by-step explanation:

put w as 64 and solve for t

6 0
2 years ago
Read 2 more answers
A single carton of juice costs $4.20. A special offer pack of 3 cartons costs $9.45. Ali bought a special offer pack instead of
fgiga [73]

1 cartons of juice = $4.20

3 single cartons = 4.20 * 3 =  $12.60

1 pack = $9.45

He saved 12.60 - 9.45 = $3.15

So, he saved $3.15, compared to the total ($12.60)

To calculate the percentage, we will do a proportion:

3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)

3.15 : 12.6 = x : 100

To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6

So

x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25

So the percentage saving is 25%

6 0
2 years ago
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