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3 years ago

Why is the greatest common factors with 2 numbers sometimes 1

Mathematics

1 answer:

OverLord2011 [107]3 years ago

5 0

The greatest common factor of two numbers, one of which is 1, will always be 1.

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four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban

beks73 [17]

Answer:

apple: £0.20
banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

4a +b = 1.40

7a +b = 2.00

Subtracting the first equation from the second gives ...

(7a +b) -(4a +b) = (2.00) -(1.40)

3a = 0.60 . . . . simplify

a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

4(0.20) +b = 1.40

b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0

3 years ago

In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota

aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times man wins the games = x times

Number of times man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

x + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x, put in (2)

5x + 2y = 67 ⇒ 5x + 2(20 -x) = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

3 0

3 years ago

Write each fraction or mixed number as a number as a decimal 2 3/8

weeeeeb [17]

Answer:

$\tt2.375$

Step-by-step explanation:

$\tt = 2 \frac{3}{8}$

$\tt = \frac{8 \times 2 + 3}{8}$

$\tt = \frac{19}{8}$

$\tt = 19 \div 8$

$\tt = 2.375$

3 0

3 years ago

Need hep now will make brainliest

AfilCa [17]

Hi!
1. -25
2. 22
3. 0
4. -34.5

hope this helps!

8 0

3 years ago

Read 2 more answers

I need help with #3 and #4 part b please help

Svetradugi [14.3K]

<h3>Answer:</h3>

3) likely

4) 1/2; equally likely

<h3>Step-by-step explanation:</h3>

3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...

impossible: probability is zero. The outcome cannot occur.
unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
equally likely: probability is near 50%
likely: more likely than not. Again, this depends on the context.
certain: probability is 1. There is no chance the outcome will not occur.

An 80% probability is greater than 50%, so might reasonably be called "likely."

___

4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.

b. A probability of 50% might reasonably be called "equally likely", as the probability the event will occur is equal to the probability it won't.

4 0

3 years ago