A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had an area of 200 by 300 meters ,what is the value x?

Answer:

$20,073.38

Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.

Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.

Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.

Answer:

A={a,b,c}

B={1,2}

A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)

Answer:

0

Step-by-step explanation:

the opposite is 1 -7/8 when you add them together they cancel out to zero

Answer:

-6m^2 *n^2

Step-by-step explanation:

formula: (m^x)/(m^y)= m^(x-y)

apply formula for (4m^2)/(2m^-3)

=(4m^(2--3)/(2)

=4m^5/2

divide 4/2

=2m^5

next part 3n^5/(-mn)^3

3n^5/(-mn)^3

expand

=3n^5/ (-m^3*n^3)

=3n^(5-3)/ -m^3

=3n^2/ -m^3

both parts:

(2m^5* 3n^2)/ -m^3

= -(2m^5* 3n^2)/ m^3

= -(2m^(5-3)* 3n^2)/ 1

= -(2m^2* 3n^2)

= -(6m^2*n^2)

= -6m^2 *n^2

Answer:

A

Step-by-step explanation:

throat bababy

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

Answer:

a or b.

Step-by-step explanation:

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

Let x represent the total amount of paint.

(1/2)x + (4/5)x = 26

1.3x = 26

x = 20

Therefore:

Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons

Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

Find out more on equation at: https://brainly.com/question/2972832

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

[tex]y = mx + b[/tex]

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Answer:

Reflection over y-axis (-x,y)

Step-by-step explanation:

Reflection over y-axis (-x,y)

A (-2 , 4) , A'( 2,4)

you can check the rest.

The vertical asymptotes of the function are 3 and 6

Given the function

[tex]\frac{x+6}{x^2-9x+18}[/tex]

The vertical asymptotes of the function occur at the point where the denominator is zero.

Equate the denominator to zero.

x^2 - 9x + 18 = 0

Factorize the quadratic expression:

x^2 - 3x - 6x + 18 =0

x(x-3)-6(x-3) = 0

(x-3)(x-6) = 0

x - 3 = 0 and x - 6 = 0

x = 3 and 6

Hence the vertical asymptotes of the function are 3 and 6

Learn more on vertical asymptotes here: https://brainly.com/question/21678319

Answer:

parallel

Step-by-step explanation:

3x + 2y = 6 can be written as y = -3/2x +3

4y = -6x -12 can be written as y= -3/2x-3

same slope different y intercept so parallel

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

[tex]20 \times 8[/tex]

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18

Answer:

4x+9y-27=0

compare and fill em

hope it helps

Answer:

2

Step-by-step explanation:

y=1y

x=1x

so the answer will be 2.

may be

hope to help!!!

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

Answer:

7)-6a

8)7

9)x-1

10)8-k

Step-by-step explanation:

Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer

Answer:

7. -6a

8. 6x +5

9. x + 1

10. -k + 8

Step-by-step explanation:

7. A=1  1-7= -6  a - - 7a = -6a

8. 3x + 3x= 6x

6-1=5

6x+5

9. -8x + 9x = x

3-2 =1

x+1

10. 4+4 =8

k- 2k= -k

-k + 8

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

Answer:

6

Step-by-Step explanation:

P (n,k) where n=k is equal to n!

So, P (3,3)  = 3! = 6

Generally, P (n,k) = n!/(n-k)!

Answer:

Step-by-step explanation:

y=-1/3x+9

This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3).  The new slope is 3.  equation is:

y = 3x + b

To find b, enter the given point, (-6,-2) and solve for b:

y = 3x + b

-2 = 3(-6) + b

-2 = -18 + b

b = 16

The full equation is y=3x + 18

Answer:

110

Step-by-step explanation:

150*5=750

750+2000=2750

2750/25=110

Answer:

The number is 110

Explanation:

To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110

Step by step:

150×5= 750

=> 750+2000= 2750

2750÷25= 110

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

Answer: If your talking about the angle degree it is 45°

Step-by-step explanation:

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.

The slope-intercept form of a straight line is: y = mx + c

Here, m = slope of the line , c = y-intercept

If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).

The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.

Therefore, the slope of the line AB is (m)

= (y₂ - y₁)/(x₂ - x₁)

= (4 - 9)/(8 - 2)

= (- 5)/6

Slope of the required line is perpendicular to AB.

Therefore, the slope of the required line is

= - 1/(- 5/6)

= 6/5

This line passes through point C(- 3, - 2).

- 2 = - 3(6/5) + c

⇒ c = -2 + 18/5

⇒ c = 8/5

The equation of the required line is

y = (6/5) x + (8/5)

⇒ 5y = 6x + 8

Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597

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Answer:

Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.

Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5