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Leokris [45]
3 years ago
15

Apply the distributive property and the greatest common factor to write an equivalent expression.

Mathematics
2 answers:
yarga [219]3 years ago
7 0
12(5x-2).................
ICE Princess25 [194]3 years ago
7 0

Answer:

12 \cdot (5x-2)

Step-by-step explanation:

The distributive property states that:

a \cdot (b+c) = a\cdot b+ a\cdot c

GCF(Greatest common factor) states that a largest number that divide two numbers.

Given the expression:

60x-24

GCF of 60x and 24 is, 12.

then;

Apply distributive property to the given expression we have;

12 \cdot (5x-2)

Therefore, an equivalent expression we get, 12 \cdot (5x-2)

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1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a stand
ddd [48]
A standard deck has 52 cards.
A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221
7 0
3 years ago
ANSWER PLZ 99 POINTS AND BRAINLIEST. WHAT IS THE SQUARE ROOT OF 169?
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13 x 13 
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13^2 (13²)  will give you  169 
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7 0
3 years ago
Read 2 more answers
in a kettle there are 8/5 litres of water a cup holds 1/5 of a litre of water how many cups can be filled with the water in the
stepan [7]

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3 years ago
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astraxan [27]

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5 0
4 years ago
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DIA [1.3K]

Answer:

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Step-by-step explanation:

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Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.

Pluto's location to the sea level = 24,568 feet

Goofy's Location to the sea level = 124 feet

their distance apart = 24,568 feet + 124 feet =24, 692 feet apart

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