What is the value of x in the equation -2/3 x +9= 4/3x -3?

Answers

Answer 1
Answer:

The equivalent value of variable x in the equation is x = 6

Given data:

The equation is represented as  (-2)/(3)x +9=(4)/(3)x-3.

Now, isolate the x terms on one side of the equation by subtracting (4)/(3) x from both sides:

(-2)/(3)x +9-(4)/(3)x=-3

Next, simplify the left side of the equation:

((-2x - 4x))/(3) + 9 = -3

Simplifying further:

(-6x)/(3) + 9 = -3

Now, simplify the left side of the equation by dividing -6x by 3:

-2x + 9 = -3

To isolate the variable x, subtract 9 from both sides:

-2x + 9 - 9 = -3 - 9

Simplifying:

-2x = -12

x = 6

Hence, the equation is solved and x = 6.

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Answer 2
Answer:

Answer:

the value of x is 6

Step-by-step explanation:


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56980 rounded to the nearest hundreds

Answers

56,980 rounded to the nearest hundreds is 56,900.

To round the number 56,980 to the nearest hundreds, we need to look at the digit in the hundreds place, which is 9. The rule for rounding is to examine the digit to the right of the place you want to round to, in this case, the digit in the tens place. If that digit is 5 or greater, you round up; if it's less than 5, you round down.

In 56,980, the tens digit is 8, which is less than 5. Therefore, we don't need to round up. We simply drop the digits to the right of the hundreds place, which are the tens and ones digits. The hundreds digit (9) remains the same.

So, rounding 56,980 to the nearest hundreds gives us:

56,900

In this rounded number, the hundreds place (9) is unchanged, and the digits in the tens and ones places (8 and 0) have been dropped.

To understand it visually, think of 56,980 on a number line. When you round to the nearest hundreds, you're essentially finding the closest multiple of 100. In this case, 56,980 is closest to 57,000, which is why we round down to 56,900.

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Answer:

57,000

Step-by-step explanation:

What shape is the area of the triangle formula derived from?

Answers

The area formula can be derived from a triangle of any shape.

The formula is applicable to a triangle of any shape. No matter what is the shape of the triangle, the formula for the area of a triangle will always be:

Area=(1)/(2)* base* height

and this formula will give the area of any triangle, whether that be a triangle which has acute angles, or it can be a triangle that has an obtuse angle, or it can be a right angled triangle. The above mentioned formula is applicable in all the cases.

Please note that we can choose any side as the base and the height will be corresponding to the base chosen. The formula can be applied after the base and the height have been identified.



Simplify the expression. (8x + 14) + (9x - 5)

Answers

use the associative property that says
a+(b+c)=(a+b)+c
and the commutative property that says
a+b=b+a
use together and get
(8x+14)+(9x-5)=8x+9x+14-5
add like terms
8+9=17
therefor
17x+14-5
14-5=9
17x+9 is the simpliefid form

Write the product of 0.4 x 0.4 x 0.4 in exponential form.

Answers

Answer: 0.4^3

Step-by-step explanation:

you just count how many times you multiply 0.4 and use that number to be the exponents

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answers

To answer the problem above, we can start with the formation of the point-slope form of a line. The slope is solved through,

                                    m = (y2 - y1)/(x2 - x1)
                                     m = (0 - -5)/ (6 - 3) = 5/3

The point - slope form of the equation of the line is,

                                    y - y2 = m(x - x2)

Substituting the known data, 

                                   y - 0 = (5/3)(x - 6)
This simplifies into, 

                                    y = 5x/3 - 10

Thus, the standard form of the equation is, 

                                      5x - 3y = 30

Answer: 5x-3y=30

Step-by-step explanation:

We know that the equation a line in point-slope form passing through points (a,b) and (c,d) is given by :-

(y-b)=(d-b)/(c-a)(x-a)

Then , the equation a line in point-slope form passing through points C(3, –5) and D(6, 0) is given by :-

(y-(0))=(0-(-5))/(6-3)(x-6)\n\n\Righarrow\ y=(5)/(3)(x-6)\n\n\Rightarrow\ 3y=5x-30\n\n\Rightarrow\ 5x-3y=30

Hence, the equation of line CD in standard form  : 5x-3y=30

Eleanor and Billie make 752 brownies then give them to their nine friends to share how many will they have leftover what impacted the remainder have on the answer

Answers

752/9=83 r5 your welcome
I agree with awesomepiecat. 752÷9= 83 Remainder 5.