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professor190 [17]
3 years ago
9

The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.

Mathematics
1 answer:
Fantom [35]3 years ago
3 0
The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).

The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of  180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36

Answer: 36
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(05.06 MC)
irina [24]

The point (-2, 5) is not included in the solution area

<h3>The graph of the inequalities</h3>

The system of inequalities is given as:

y > 5x + 5

y > -2x+1

See attachment for the graph.

Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded

<h3>The solution area</h3>

The point is given as:

(-2, 5)

The point (-2, 5) is not in the shaded area of the system of inequalities

Hence, the point is not included in the solution area

Mathematically, we have:

5 > 5 * -2 + 5 ⇒ 5 > -5 --- true

5 > -2 * -2 +1 ⇒ 5 > 5 --- false

Since both inequalities are not true, then the point is justified

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

6 0
2 years ago
A company produces refrigerators for beer kegs. The refrigerators are supposed to maintain a mean temperature of 43°F, ideal for
Deffense [45]

Answer:

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Options:

A) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

B) Reject the claim that the mean temperature is equal to 43°F when it is actually 43°F.

C) Fail to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

D) Reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

Explanation:

The null hypothesis H0: µ=43°F (a true mean temperature maintained by refrigerator is equal to 43°)

The alternative hypothesis Ha: µ<>43 (a true mean temperature maintained by refrigerator is not equal to 43).

A type II error does not reject null hypothesis H0 when it is false.  Therefore, the type II error for the test fails to reject the claim that the mean temperature is equal to 43°F when it is actually different from 43°F.

3 0
3 years ago
What is x over 5 = -3 find x value
Eva8 [605]

5*-3=-15

x=-15

hope this helps

6 0
2 years ago
Read 2 more answers
What is the solution to the equation shown below?
LekaFEV [45]
B is the answer I think
4 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP MEH
wel
Answer is in bold and i will add step
Since they are vertical angles they will be the same. Since 6=146 2=146

4 0
3 years ago
Read 2 more answers
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