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nignag [31]
3 years ago
6

there are total of 127 cars and trucks on a lot if there are four more than twice the number of Trucks Than Cars how many cars a

nd trucks are on the lot
Mathematics
2 answers:
kogti [31]3 years ago
6 0
C=number of cars
t=number of trucks
c+t=127=total

if there are 4 more than (+4) 2wice the number of trucks (2 times t or 2t) than are cars (= c) find c and t
4+2t=c and c+t=127
subsitute 4+2t for c
4+2t+t=127
4+3t=127
subtract 4
3t=123
divide 3
t=41
subsitute
t+c=127
41+c=127
subtract 41
c=86

86 cars
41 truckes
Julli [10]3 years ago
4 0
T : trucks
c: cars

t + 4 + 2t = 127
3t = 123
t = 123 / 3
t = 41
<span>c = 127 - 41 = 86</span>
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Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

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4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

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