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vekshin1
3 years ago
12

What is the greatest common factor for 84 and 56?

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

<span>Factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, </span>28, 42, 84

The outside term multiplies by the outside term on the oposite side to equal the answer. 

Example:
Look at the factors of 84
84X1=84
2X42=84
3X28=84 
and so on!

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Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
Suppose two fair six-sided dice are rolled. what is the probability that they will both come up with the same number?
marta [7]
You have a 16.7% chance of rolling doubles
8 0
3 years ago
A shade of green paint is made by mixing yellow paint and blue paint in the ratio 5:2. Mel has 30 litres of yellow paint and 9 l
vodomira [7]

Answer:

31.5 litres

Step-by-step explanation:

If Mel uses all 30 litres of yellow paint, then:

5 / 2 = 30 / x

5x = 60

x = 12

Mel would need 12 litres of blue paint, but she only has 9 litres.  So the amount of yellow paint she needs is:

5 / 2 = x / 9

2x = 45

x = 22.5

Mel will use 22.5 litres of yellow paint with 9 litres of blue paint to make a total of 31.5 litres of green paint.

4 0
3 years ago
Subtract p - q from 2p - q + 4. answer the following with explanation
ra1l [238]

Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

5 0
3 years ago
Read 2 more answers
A. A group of twelve art students are visiting a local art museum for a field trip. The total cost of admission for the students
Shalnov [3]

Answer:

a) $10.42

b) 11 trips

c) 10 cookies

d) 12/125ths of a cheesecake (or 9.6%)

Step-by-step explanation:

a)  

Let x = the cost of admission for each student

Let y = the total cost of admission

⇒  y = 12x  

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

So the cost of admission for each student = $10.42

b)

Let x = the number of trips

Let y = the total number of passengers

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, the van must make 11 trips in order to bring 125 passengers to the same location.  (If it took 10 trips, then it would only bring 120 passengers, hence why we have to round make 11 trips to bring the last 5 passengers).

c)

Let x = the number of cookies each neighbor will receive

Let y = the total number of baked cookies

⇒  y = 12x

⇒  125 = 12x  

⇒  x = 125 ÷ 12  

⇒  x = 10.42

Therefore, each neighbor will receive 10 cookies (we have to round it down, as if each neighbor received 11 cookies, we would need 132 in total).

d)

Let x = the number of cheesecakes purchased

Let y = the amount of cheescake each guest will receive

⇒  y = 125x

⇒  12 = 125x  

⇒  x = 12 ÷ 125

⇒  x = 12/125 = 0.096 = 9.6%

Therefore, each guest will receive 12/125ths of a cheesecake (or 9.6%).

6 0
2 years ago
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