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3 years ago

X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.

1 answer:

meriva3 years ago

6 0

<span>x + 6y = 2
4x - 3y = 10

The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms.

Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:

</span>x + 6y = 2 x + 6y = 2
2(4x - 3y = 10) --> 8x - 6y = 20<span>

Hope this helps.</span>

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1.How many combinations are possible from the letters HOLIDAY if the letters are taken?

Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Exercise 1, item a:

One letter from a set of 7, hence:

$C_{7,1} = \frac{7!}{1!6!} = 7$

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

$C_{7,2} = \frac{7!}{2!5!} = 21$

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

$C_{7,7} = \frac{7!}{0!7!} = 1$

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

$T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245$

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

6 0

2 years ago

Theres 6 bags and 185 rasins how many are in each bag

tiny-mole [99]

Answer:

1110

Step-by-step explanation: If it was multiplication it would 1110 but you cat divide 185 by 6 so if it was 186, not 185 and you divided by 6 you would get 31 hope this helps

8 0

3 years ago

PLS HELP ME WITH THIS PROBLEM !! <br><br> THANK YOU!!!!!!! :)

olasank [31]

Answer:

Output will be n+4 because :

when input is 1 output is 1+4=5

when input is 4 output is 4+4=8

when input is 5 output is 5+4 =9

so, when input is n output will be n+4

4 0

2 years ago

Find the area use 3.14 for pi

Aleonysh [2.5K]

Answer:

15.14 cm^2

Step-by-step explanation:

Area of rectangle = 4cm x 3 cm = 12cm^2

Radius of the circle = 2 cm

Area of 1/4 of a circle = (pi x r^2) / 4

= (3.14 x 4) / 4 = 3.14 cm^2

3.14 cm^2 + 12cm^2 = 15.14 cm^2

5 0

3 years ago

2x + y -z=9<br> -x + 6y + 2z =- 17<br> 5x + 7y +z = 4

Effectus [21]

Answer:

Step-by-step explanation:

What is y?

3 0

3 years ago