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3 years ago

Help!

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

The greatest common factor of 42, 60 and 78 is 6.

Step-by-step explanation:

The given numbers are : 42, 60 and 78

On Prime Factorization of the given terms, we get:

42 = 2 x 3 x 7

60 = 2 x 2 x 3 x 5

78 = 2 x 3 x 13

The common factors to all these three terms is 2 x 3 = 6

Hence, the greatest common factor of 42, 60 and 78 is 6.

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Jorge is 1 year younger than his brother. The sum of their ages is no less than 25 years.

Elodia [21]

X-1 has to be less than 25

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3 years ago

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GUYSSSSS!!!! PLEASE I NEED HELP RIGHT NOWW!!! HELP PLEASE!

nikdorinn [45]

Answer:

$\angle ABC=20^{\circ}$

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

$\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}$

Add both equations to solve for $y$ :

$24y=360,\\y=\frac{360}{24}=15$

Now substitute $y=15$ into $3x+14y=180$ to solve for $x$ :

$3x+14(15)=180,\\3x=-30,\\x=-10$

Finish by substituting both variables to solve for $\angle ABC$ :

$\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}$

7 0

3 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

slavikrds [6]

Answer:

x<39.76 OR x>388.23 (In degrees Celsius.

Step-by-step explanation:

Melting point is when a a substance turns from a solid to liquid, and boiling point is the point where it turns from a liquid to a gas. That means in between these points is when the matter is in the liquid state, so it could be anything not included from the range 39.76-388.23.

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2 years ago

-2(3 + 4x)<br><br>I need help

11Alexandr11 [23.1K]

Answer:

-6-8x

Step-by-step explanation:

distribute and multiply

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3 years ago

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a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pou

Semenov [28]

Answer: S = 20 lbs L = 45 lbs. Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

3 0

2 years ago