231 km 811 m + 485 km 829 m

If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

7 0

3 years ago

What is true of the data in the dot plot? Check all that apply.

NNADVOKAT [17]

Answer:

True answers

The center is 13

The peak is at 14

It has two clusters

It is skewed left

The person waited for the bus 16 times

Step-by-step explanation:

Edge2021

6 0

3 years ago

Read 2 more answers

Find the solution of the quadratic equation x^2+4x-12=0 MUST SHOW WORK!!!

bezimeni [28]

Answer:

x = 2,−6

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

3 0

3 years ago

How many strings of eight uppercase English letters are there if no letter can be repeated?

lorasvet [3.4K]

26*25*24*23*22*21*20*19 which is 62,990,928,000 strings.

3 0

3 years ago

Write 3.7 repeating as a mixed number

otez555 [7]

Explanation

3.7

=

3.0

+

0.7

=

30

10

+

7

10

=

37

10

This is because...

3

=

3

⋅

1

=

3

⋅

10

=

30

10

And also because...

0.7

=

1

10

⋅

7

=

7

10

4 0

3 years ago