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bearhunter [10]
1 year ago
10

What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x y = 1

y = 6 - 4x 7x 6 = 1 -x 6 = 1 x 6 = 1.
Mathematics
1 answer:
Natali5045456 [20]1 year ago
8 0

After putting the value of y from the second equation to the first equation, the resultant equation is x=5.

GIven:

The equations are:

3x + y = 1\\
y = 6 - 4x

It is required to put the value of y from second equation to the first equation.

<h3>How to solve equations?</h3>

The value of y from the second equation is,

&#10;y = 6 - 4x

Now, put this value of y in the first equation as,

3x + y = 1\\&#10;3x+(6 - 4x)=1\\&#10;3x+6-4x=1\\&#10;-x=-5\\&#10;x=5

Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is x=5.

For more details about equations, refer to the link:

brainly.com/question/2263981

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4/7 of the children in a pool are girls. What is the ratio of girls to boys?
marshall27 [118]
4/7 of the children in the pool are girls 
3/7 of the children in the pool are boys
4/7:3/7
4:3 is the ratio of girls to boys
6 0
2 years ago
The results of rolling a 6-sided die 120 times are given in the table below.
Bas_tet [7]

Step-by-step explanation:

According to the results of rolling a 6-sided die 120 times, we have:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

Step-by-step explanation:

1. First of all, let's recall what is the difference between experimental and theoretical probability of an event.

The experimental probability is the result of an experiment, and the theoretical probability is based on the mathematical model developed in the theory of probability.  In simple words, the most important difference is that the experimental probability is based on what actually happens and the theoretical probability on what is expected to happen.

The accuracy of the results of the experiments depends directly on the sample size of the experiment and the accuracy is greater when the sample size is larger.

For this particular event the theoretical probability is the same for rolling each number of the die, 1/6 or 16.67%

Now, let's complete the answer this way:

Rolling a 2:

Experimental = 15/120 = 1/8 = 0.125 = 12.5%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1:

Experimental = 18/120 = 3/20 = 0.15 = 15%

Theoretical = 20/120 = 1/6 = 0.1667 = 16.67%

Rolling a 1 or 6:

Experimental = 18/120 + 20/120 = 38/120 = 19/60= 0.3167 = 31.67%

Theoretical = 20/120 + 20/120 = 40/120 = 1/3 = 0.3333 = 33.33%

5 0
2 years ago
Would the -5 go to the left or the right on the number scale?
jeyben [28]

The number -5 would go to the left of a number scale. Typically because all negatives move to the left of zero on the number scale.


5 0
3 years ago
ABC is an isosceles triangle: AC = 13cm. What is the length of AB?
sveticcg [70]
  • AB=AC

AC=13cm

\\ \sf\longmapsto AB

\\ \sf\longmapsto AC

\\ \sf\longmapsto 13cm

5 0
2 years ago
One number is 8 more than another number, and their sum is 20. Find the numbers.
melomori [17]

Answer:

First number=6

Second number=14

Step-by-step explanation:

Let the first number be x

So the second number is x+8

So the sum of the two is

X+x+8=20

2x+8=20

2x=20-8

2x=12

X=12/2

=6

The second number will x+8

So 6+8=14

First number=6

Second number=14

6 0
3 years ago
Read 2 more answers
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