Can somebody help me solve Y=9X+6

Answers

Answer 1
Answer: Y=9X+6 (You want to shift everything but the x to the other side right?)
So -6 and you have to do the same to each side which makes:

Y-6=9X

Then to leave the x by itself you need to reserve what you've done again so divide both sides by nine to make/

Y-6/9=X

Hope that made sense!!
Answer 2
Answer: Y=9x+6
-6=9x (-6)
-6/9=x

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How do you solve 2(10-6x)=x-8x Show work

Simplify the expression -2b-6+3b-2

Answers

The expression can be simplified as:

b-8

The gross salary was increased twice during the year. First by 8%, then again by 10%.Its final amount was 10,098. Calculate the amount of the original gross salary.

Answers

Answer:

$8,500

Step-by-step explanation:

Let the original gross salary be "X" dollars.

First, it was increased by 8%, which can be calculated as 1.08 times the original salary:

1.08 * X

Then, this new amount was increased by 10%, which can be calculated as 1.10 times the previous amount:

1.10 * (1.08 * X)

The final amount is given as $10,098:

1.10 * 1.08 * X = 10,098

Now, solve for X:

1.188 * X = 10,098

Divide both sides by 1.188 to find X:

X = 10,098 / 1.188

X ≈ 8,500

So, the original gross salary was approximately $8,500.

Find m and b in the following equations.What do m and b represent?
a.
y= 2x +1
b. y=zx-4

Answers

Answer:

Step-

by-step explanation:

A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.

Answers

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

5! = 120 different arrangements

A fish tank is a cube. Its side length is 4 1/2 feet. The volume of water needed to completely fill the fish tank is ___ cubic feet.

Answers

The equation for the volume of a cube is V=s^3, where V is volume and s is side length.  Plug in and solve:

V=4.5^3

V=4.5*4.5*4.5

V=91.125ft^3

Hope this helps!!

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?A. x + 30 = 10 and x + 30 = –10
B. x – 30 = 10 and x – 30 = –10
C. x + 10 = 30 and x + 10 = –30
D. x – 10 = 30 and x – 10 = –30

Answers

ANSWER
A. x + 30 = 10 and x + 30 = –10

EXPLANATION
If x represents the depth of Laurie at a given moment, then the distance between his current depth and -30 feet is given by

   | x - (-30) |

which can be simplifed into

   | x + 30 |

We use absolute value because distance cannot be negative.

Laurie must stay within 10 feet. Therefore, the distance x is from -30 feet has to be equal to 10 to find the maximum and minimum depths that Laurie can stay between:

   | x + 30 | = 10

When we solve this absolute value equation, we work with two cases.

Case 1: When x + 30 is positive, then |x+30| = x+30 (no change) and we have the equation
   x + 30 = 10

Case 2: When x + 30 is negative, then |x+30| = -(x+30) so as to force the distance into a positive number. Then this gives us the equation
   -(x+30) = 10
which we can multiply both sides by -1 to get
   x + 30 = -10