What is the answer and work too the equation 4x+9+3x=30

Answers

Answer 1

Answer: rearrange the like terms first.
1. 4x+3x+9=30

add the like terms
2. 7x+9=30

move the 9 to the other side.
3. 7x=30-9

subtract them
4. 7x=21

divide bothers sides by 7
5.
$(7x = 21)/(7)$

which it will end with the result of
x=3

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What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?

Answers

The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scalefactor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).

Learn more about scalefactors here:

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All the people of a neighborhood pooled together and won the lottery they won 10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 mph. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 mph. How many hours did it take the first plane to travel to the destination?Let x represent the number of hours that the first plane traveled.
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.

Answers

First plane: 496x
Second plane: 558( x - 1/2)

Equation: 496x = 558( x - 1/2)

Solving x = 9/2 , or x = 4.5 hours.

Hope this helps.

When you round 6 5/11 what's the nearest whole number

Answers

6.

5 is less than half of eleven, so 6 5/11 would round down to 6.

If its easier you could multiply it by 2 to make it a larger #, which is 10/22, which means that the # would be rounded down, and stay as 6, hope I was helpful

Evaluate the expression for the given value of the variable(s). -x 2 - 4x; x = -3

A. 11
B. 3
C. -17
D. -1

Answers

-x^2 - 4x when x = -3
-(-3)^2 -4(-3)
= - 9 + 12
= 3

answer is B. 3

Add The Following Polynomials?(6x^3 + 4x-2) + (4x^2 + 3x^3 - 6)
I have no clue how to do this I missed a lot of days in school due to personal issues
if someone could help me that would be great!

Answers

(6x^3 + 4x-2) + (4x^2 + 3x^3 - 6)=
6x^3 + 4x-2 + 4x^2 + 3x^3 - 6=
9x^3+4x^2+4x-8

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