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Allisa [31]
3 years ago
14

2x - 1y = 6 -3y = -6x + 18 please explain how you got the answer, thank you :)

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer: {y,x}={2,8}

// Solve equation [2] for the variable  y

 [2]    y = -2x + 18

// Plug this in for variable  y  in equation [1]

  [1]    (-2x+18) - x = -6

  [1]     - 3x = -24

// Solve equation [1] for the variable  x

  [1]    3x = 24

  [1]    x = 8

// By now we know this much :

   y = -2x+18

   x = 8

// Use the  x  value to solve for  y

   y = -2(8)+18 = 2

Solution :

{y,x} = {2,8}

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The sides of the cubes are numbered 1 through 6. if they are both tossed, what is the probability that they will both be a 3?
Elodia [21]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

the sides of the cubes are numbered 1 through 6,

So,

P(\text{ getting a 3})=\frac{1}{6}

if they are both tossed ,

Probability (getting that they will both be a 3) is given by

=\frac{1}{6}\times \frac{1}{6}\\\\=\frac{1}{36}

(∵\\P(\text{A and B})=P(A\cap B)=P(A).P(B)\\)

Therefore, Option 'C' is correct.

4 0
3 years ago
Read 2 more answers
7. A 50 foot rope is cut into two pieces, one long piece and one short piece. The length of the long piece
Lapatulllka [165]

Answer:

Short piece: 9 ft

Long piece: 41 ft

Step-by-step explanation:

The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.

The equations we have from the problem statement are:

L = 5+4x where L represents the length of the long piece and x represents the length of the short piece

x + L = 50

Substituting the equation for the long piece into the equation for total length:

x + (5+4x) = 50

5 + 5x = 50

5x = 45

x = 9 ft

Substituting x = 9 into the equation for the long piece:

L = 5 + 4(9)

L = 5 + 36

L = 41 ft

Checking the answers by substituting x = 9 and L = 41 into the equation for total length:

x + L = 50

9 + 41 = 50

50 = 50

4 0
3 years ago
Write as a decimal<br> A) 407 tenths <br> B) 209 hundredths
castortr0y [4]

Answer:- A) 407 tenths =40.7

B) 209 hundredths=2.09


Explanation:-

We know that one tenth=\frac{1}{10} and one hundredth =\frac{1}{100}

A) 407 tenths

=\frac{407}{10}=40.7

Thus decimal form of 407 tenths is 40.7.

B) 209 hundredths

=\frac{209}{100}=2.09

Thus decimal form of 209 hundredth is 2.09.

4 0
3 years ago
Read 2 more answers
2x+3y=6, what is the rate of change
ankoles [38]

Answer:

-2/3

Step-by-step explanation:

rate of change is slope

so rearrange the equation to get in y = mx + b format

2x + 3y = 6

move the 2x over by subtraction

3y = -2x + 6

now divide by 3 to get y by itself

y = -2/3x + 2

6 0
3 years ago
At a sale, a camera was reduced by $8. This represented 10% of the
Rina8888 [55]

Answer:

The answer is 60.

Step-by-step explanation:

1. 8*10=80 #original price

2. 80.....100%

x...... 75%

=> 100x = 6000 => 60

8 0
3 years ago
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