Rewrite the equation below so that it does not have fractions
4/9x+4=2/3
Do not use decimals in your answer

Answer:3n-64

Step-by-step explanation:

Answer:

53/-18.75 = -2.82666

Step-by-step explanation:

hope this helps :)

Answer:

[tex] \frac{53}{ - 18.75} = \frac{5300}{ - 1875} = - 2.826[/tex]

I hope I helped you‌^_^

Answer:

The other number is -128/17

Step-by-step explanation:

Let the unknown number be x,

[tex] \tt \longmapsto \: x + \frac{ - 8}{17} = - 8[/tex]

[tex] \tt \longmapsto \: x = \frac{ - 8}{1} + \frac{8}{17} [/tex]

[tex] \tt \longmapsto \: x = \frac{ - 136 + 8}{17} [/tex]

[tex] \tt \longmapsto \: x = \frac{ - 128}{17} [/tex]

Answer:

Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.

Answer:

B. 2

it is the only odd prime number

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

10 × 6 + 2 + 56 - 8

60 + 2 + 56 - 8

62 + 56 - 8

118 - 8

110

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

(10) x 6 + 2 + 56 - 8

60 + 2 + 48

62 + 48

110

Answer:

14.12 × 2 + 5.93 = 34.17

40$ - 34.17 = 5.83$

Answer:

$14.12+$14.12=$28.24+$5.93=$34.17

Change is $6.83

Answer: -10

Step-by-step explanation:

Formula for mid point is :

Mid point = ( (x1+x2)÷2 , (y1+y2)÷2) )

So, X1 = 4

X2 = X

Y1 = -2

Y2 = y

Now, use the formula

(-3,1) = ( (4 + x)÷2 , (-2+y)÷2) )

Now divide the sides for yourself to solve for midpoint for X and y separately

-3 = (4+x) ÷ 2 and 1 = (-2+y) ÷ 2

This is because 3 is the x coordinate of the mid point of A and B , so we equate it to (4+x) ÷ 2 because this expression basically gives us the x coordinate of mid point of A and B. So we already have the x coordinate of midpoint which is -3 so we can use this to find X coordinate of point B

So then we solve it by multiplying the 2 with -3 which gives -6

-6 = 4+X

Shift 4 on the other side and it will become negative 4

-6-4 = X

X = -10

You can use the same technique I showed in another one of your questions (24467305).

Partial fractions:

[tex]\dfrac2{(2n-1)(2n+1)} = \dfrac a{2n-1} + \dfrac b{2n+1} \\\\ \implies 2 = a(2n+1) + b(2n-1) = (2a+2b)n + a- b \\\\ \implies \begin{cases}2a+2b=0 \\ a-b = 2\end{cases} \implies a = 1, b=-1[/tex]

Then we have a telescoping sum,

[tex]S = \displaystyle \sum_{k=1}^n \frac 2{(2k-1)(2k+1)} \\\\ S = \sum_{k=1}^n \left(\frac1{2k-1} - \frac1{2k+1}\right) \\\\ S = 1-\frac13 + \frac13 - \frac15 + \cdots +\frac1{2n-3}-\frac1{2n-1}+\frac1{2n-1}-\frac1{2n+1} \\\\ S = 1 - \frac1{2n+1} = \boxed{\frac{2n}{2n+1}}[/tex]

(And in case you were actually interested in an infinite sum, we can see that this converges to 1 as n goes to ∞.)

  If a function 'f' is translated by 'k' units down, image function 'g' will be,

If the function 'g' gets shrink by a factor 'm', the new function 'k' will be,

  Following these rules image of the function 'f' given in the question will be g(x) = [tex]\frac{1}{3}x-1[/tex]

Function given in the question is,

  If the function f is translated by 3 units down, image function 'h' will be,

h(x) = f(x) -3

h(x) = x - 3

  If the image function is vertically shrink by a factor of k, equation of the image function will be,

g(x) = [tex]k[h(x)-3][/tex]

where, k = [tex]\frac{1}{3}[/tex],

g(x) = [tex]\frac{1}{3}}(x-3)[/tex]

      = [tex]\frac{1}{3}x-1[/tex]

    Therefore, image function will be [tex]g(x)=\frac{1}{3}x-1[/tex].

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Answer:

35• 43 m square is correct answer

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

Answer:

I think the graph is the fourth choice

I hope I helped you^_^

Answer:

36. [tex]\frac{a^{7} }{b^{8} }[/tex]  | 37. 1 ( anything raise to 0 equal 1 ) | 38. [tex]g^{4}[/tex]

Step-by-step explanation: Just flip the exponent degree to negative when you move it down and positive when you move it up. You will be able to solve the rest. :)

Answer:

Ashley

Step-by-step explanation:

Ashley:

12n (n=5) = 60+2u (u=10)=80

4 quarters equal a dollar

$1.80

Beto:

10n (n=5)= 50+ 4u (u=10) = 90

3 quarters equal .75

$1.65

hi <3

i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.

so, you need to multiply the coefficient of x^2 by the last value

3 x -12 = -36

now, you need to find two values that multiply to make -36 but add to make 5.

9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need

now we have:

(x - 4)(x + 9)

however, we need to achieve the 3 from somewhere so it needs to be divided somewhere

9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.

thus, your final answer would be:

(3x - 4)(x + 3)

hope this helps :)

Answer:

it's gonna be 3(X*2 + 4X - 4)

Step-by-step explanation:

Just factor out 3 from the expression

Recall that the volume of a cube equals (side)^3. We can create an equation to model this.

1728 in^3 = (side)^3

We can get the cube root of both sides.

12 in = side

Each side is 12 inches long.

Answer:

21cm

Step-by-step explanation:

for every 1m, it is 6cm on the paper. thus, your answer would be 3.5÷1 which is 3.5

then multiply 3.5 by 6 which is 21

Step-by-step explanation:

A

3(6+15)

=3(21)

=63

B

5[15-(6+1)]

=5(8)

=40

B

⅓(15)

=5

C

⅓(6+15)

=⅓(21)

=7

E

15/6

=2/1/2 or 2.5

W

2(6)(15-3)

=2(7)

=36

L

4(⅓+⅓+⅓)

=4(1)

=4

L

6/15 - 15/6

=36/90 - 225/90

= -189/90

= -21/10

   Sum of an arithmetic sequence is defined by the formula,

[tex]T_n=\frac{n}{2}[2a+(n-1)d][/tex]

Total length of the wooden boards will be [tex]14\frac{1}{6}[/tex] feet.

    It's given in the question,

Since, 1 inch = [tex]\frac{1}{12}[/tex] feet

Therefore, [tex]4[/tex] inch = [tex]\frac{4}{12}[/tex] feet

                             = [tex]\frac{1}{3}[/tex] feet

So, each stair is [tex]\frac{1}{3}[/tex] feet shorter than one below.

Now the sequence formed will be,

[tex]\frac{7}{2},[\frac{7}{2}-\frac{1}{3}],[\frac{7}{2}-\frac{2}{3}],......\frac{13}{6}[/tex]

[tex]\frac{21}{6},\frac{19}{6},\frac{17}{6}....\frac{13}{6}[/tex]

It's an Arithmetic sequence with common difference 'd' = [tex]-\frac{1}{3}[/tex] and first term 'a' = [tex]\frac{7}{2}[/tex] and nth term [tex]T_n=\frac{13}{6}[/tex]

If there are 'n' stairs, expression for the for the top stair of the arithmetic sequence will be,

[tex]T_n=a+(n-1)d[/tex]

[tex]\frac{13}{6}=\frac{21}{6}+(n-1)(-\frac{1}{3})[/tex]

[tex]\frac{13}{6}-\frac{21}{6}=-(n-1)\frac{1}{3}[/tex]

[tex]\frac{8}{6}=(n-1)\frac{1}{3}[/tex]

[tex]\frac{4}{3}=(n-1)\frac{1}{3}[/tex]

[tex](n-1)=4[/tex]

[tex]n=5[/tex]

Therefore, there are 5 stairs.

Now total length of the wooden boards = Sum of 5 terms of the sequence

                                                                    = [tex]\frac{n}{2}[2a+(n-1)(d)][/tex]

                                                                    = [tex]\frac{5}{2}[2(\frac{21}{6})+(5-1)(-\frac{1}{3})][/tex]

                                                                    = [tex]\frac{5}{2}[\frac{21}{3}-\frac{4}{3}][/tex]

                                                                    = [tex]\frac{17}{3}\times \frac{5}{2}[/tex]

                                                                    = [tex]\frac{85}{6}[/tex]

                                                                    = [tex]14\frac{1}{6}[/tex] ft

    Therefore, total length of the wooden boards will be [tex]14\frac{1}{6}[/tex] ft.

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Answer:

Liability car insurance

Answer:

Step-by-step explanation:

When answering questions like this, we  have to first decide which function we have to use. This is done by looking at the given domains (the x≤-2 etc). The first question ( f(-2) ), means we have to choose the function that applies to the x-coordinate -2. x=-2 is part of the section x ≤-2 since the sign means larger or equal to -2. Hence, we use the function 2x+8 to calculate f(-2). After finding this, the solving is relatively easy, just fill in the x-coordinate:

f(-2) = 2 * -2 + 8 = -4 + 8 = 4

The second one needs the same method. x=3 belongs in the section

-2 < x ≤ 3, since the final part means x is smaller or equal to 3, and in this case it is. Hence we use [tex]x^{2} -3[/tex] here:

f(3) = 3² - 3 = 9 - 3 = 6

I hope this helps! Feel free to reach out if you still have questions

Answer:

(4, 4)

Step-by-step explanation:

A (5,7) and B (3,1)

To find the midpoint of a line segment, use this formula.

[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]

(x1, y1) = coordinates of first point

(x^2, x^2) = coordinates of second point.

Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.

Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.

[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]

[tex]midpoint = (4, 4)[/tex]

Therefore, the midpoint of segment AB is (4,4).

Let me know if you have any further questions.

The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:

Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]

The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).

Plugging in the coordinates:

x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4

y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4

Therefore, the midpoint of segment AB is (4, 4).

Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

Learn more about midpoint here;

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Answer:

30000 + 6000 + 400 + 15

Step-by-step explanation:

Answer:

The Heaviest fish weigh 15.3(lb)

Step-by-step explanation:

14.9 +12.5+11.6+11.2+x/5=13.1

50.2+x/5=13.1

65/5=13

65.5/5=13.1

65.5 -50.2 = 15.3