Plz help

Question: Which expression is equivalent to
[tex] \frac{4}{9}(2n - 3)[/tex]

Plz Help Question: Which Expression Is Equivalent To [tex] \frac{4}{9}(2n - 3)[/tex]

Answers

Answer 1

Answer:

[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex]

Step-by-step explanation:

To find the expression that is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex], let's simply as follows:

[tex] \frac{4}{9}(2n) - \frac{4}{9}(3) [/tex] (distributive property of multiplication)

[tex] \frac{4*2n}{9} - \frac{4*3}{9} [/tex]

[tex] \frac{4*2n}{9} - \frac{4*1}{3} [/tex]

[tex] \frac{8n}{9} - \frac{4}{3} [/tex]

[tex] = \frac{8}{9}n - 1\frac{1}{3} [/tex]

[tex] \frac{8}{9}n - 1\frac{1}{3} [/tex] is equivalent to [tex] \frac{4}{9}(2n - 3) [/tex].


Related Questions

(- 6x + 7) + (2x - 6) = - 4x + 1

Answers

Answer:

Step-by-step explanation:

-4x + 1 = -4x + 1

1 = 1

infinitely many solutions

Defining Terms
Warm-Up
Active
Reviewing Undefinable Terms
The intersection of plane R and plane P is
R
H
Point is not on plane P.
E and 8 intersect at point
P
Intro

Answers

Answers: line DB

H

D

Consider a simple clock.
A. Find the measure of the angle swept by the hour hand between noon and 9:55 pm
B. Find the exact angle between the minute and hour hands at 1:25 pm

Answers

Answer:

A. 280degree

B. 137degree

20x4=10
30x13=12
10x12=3
40x11=

Answers

Answer:

440

Step-by-step explanation:

40 x 11 is 440. Hope this helps love

Write the following sentence using mathematical symbols. The difference of z and two​-thirds is the same as the product of z and two​-thirds.

Answers

Answer:

Step-by-step explanation:

z - 2/3 = (2/3)z

How to calculate the value of i=?

Answers

Answer:

0.200

Step-by-step explanation:

∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5

∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5

This is a geometric series.  The sum of the first n terms of a geometric series is:

S = a₁ (1 − rⁿ) / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40.  For simplicity, let's write both a₁ and r in terms of r.  So a₁ = r and r = r.

5 = r (1 − r⁴⁰) / (1 − r)

5 (1 − r) = r (1 − r⁴⁰)

5 − 5r = r − r⁴¹

r⁴¹ − 6r + 5 = 0

Solving with a calculator, r ≈ 0.8334.

Therefore:

(1 + i)⁻¹ = 0.8334

1 + i = 1.200

i = 0.200

Write 5.42 as a mixed number in simplest form.
5.42 =

Answers

Answer: 5 21/50

Step-by-step explanation: 5.42 = 271/50 = 521/50 as a fraction

What is the area of the parallelogram?

Answers

Answer:

A = 60 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = 14*5

A = 60 cm^2

[tex] area \: of \: parallelogram \: = \: base \times height[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: \: \: \: \: \: \: \: \: 14cm \times 5cm[/tex]

[tex]a \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 70 {cm}^{2} [/tex]

Solve the following equations
(a) tydt + (t + 1)dy = 0,
(b) y dy dt + t = 1,
(c) ty0 + y = y 2 , with the initial condition, y(1) = 1 2

Answers

Answer:

A) In y = - [ x-In (x+1) ] + c

B) [tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

Step-by-step explanation:

A) tydt + ( t + 1 ) dy = 0

dy/y = - ( [tex]\frac{tdt}{t+1}[/tex] )  we have to integrate both sides of the equation

In y = - [ x- In (x +1) ] + c

B) y dy/dt  + t = 1

we can express the equation as :

y dy = ( 1 - t ) dt

when we integrate the equation we have

[tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

I’d rather draw a map than give someone Verbal directions true or false

Answers

Answer:

True because there would be more understanding

Step-by-step explanation:

Answer:

                     FALSE

Step-by-step explanation:

                                        Drawing map takes  a while but verbal directions are quite simple and easy to understand

Hope it helps!

Fill in the blank.
(5x)2
a0x2

Answers

Answer:[tex]a_0=25[/tex]

Step-by-step explanation:

It is given that, [tex](5x)^2=a_0x^2[/tex]

We need to find the value of [tex]a_0[/tex]

As [tex](5x)^2=a_0x^2[/tex]

Solving LHS

[tex]25x^2=a_0x^2[/tex]

Now comparing the coefficients of [tex]x^2[/tex]

In LHS the coefficient of [tex]x^2[/tex] is 25

In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]

It implies that, [tex]a_0=25[/tex]

So, the value of [tex]a_0[/tex] is 25.

A book shelf is 1 m wide. Joe wants to place a set of books across the shelf. He has 20 books. Each book is 5.2 cm wide. Will he have enough space for all the books?

Answers

Answer:

Only 19 books

Step-by-step explanation:

1m=100cm

1 book attains 5.2cm

x books attain 100cm

Do cross multiplication and then u will get answer as 19.23

books can't be in decimals

So answer is 19 books

A school has 1500 students. Given that 3% of them were late for school on a particular day, find the no of students who were punctual for school​

Answers

Answer:

1455

Step-by-step explanation:

0.03% x 1500 = 45

therefore, 45 students were late

1500 - 45 = 1455 punctual

Write the perimeter of the triangle as a simplified expression

Answers

Answer: 10y + 1

Step-by-step explanation:

The perimeter is the total distance round the figure.

Now, in this case it is going to be

Perimeter = 3y + 5 + 6y + y - 4

= 3y + 6y + y + 5 - 4

= 10y + 1

The perimeter of the given triangle is 10y + 1 units.

What is a triangle ?

A triangle is formed by 3 non co-linear points it has three sides and three vertices.

A triangle is also a polygon with three sides.The sum of all the interior angles of a triangle is 180°.

In the given question

Equations of all the sides of the lengths of the triangle is given.

We know that the perimeter of a triangle is the sum of the lengths of all the sides.

∴ Perimeter of the given triangle

= (3y + 5) + (y - 4) + 6y

= 10y + 1 units.

Learn more about Triangles here :

https://brainly.com/question/2773823

#SPJ2

Vector a = 4i + 5j

Vector b = 3i + 6j

Find the dot product.

Answers

Step-by-step explanation:

a · b = (4)(3) + (5)(6)

a · b = 12 + 30

a · b = 42

Answer:

42

Step-by-step explanation:

a*b = 4*3 + 5*6 = 12 + 30 ( where i*i = j*j = 1)

∴ a*b = 42

solve
10a -7 = 21 - ба​

Answers

Answer:

A=1.75

Step-by-step explanation:

[tex]10a + 6a = 21 + 7 \\ 16a = 28 \\ divide \: both \: sides \: by \: 16 \\ a = 1.75 \: or 1 \ \frac{3}{4} [/tex]

Answer:

a = 7/4

Step-by-step explanation:

10a -7 = 21 - 6а​

Add 6a to each side

10a+6a -7 = 21 - 6а+6a

16a -7 = 21

Add 7 to each side

16a+7-7=21+7

16a = 28

Divide each side by 16

16a/16 = 28/16

a = 7/4

PLEASE HELP ME SOLVE THIS QUESTION(PLS CHECK IMAGE)

Answers

The answer is None
Because if you replace a for 1 in the question
The answer that replaced by 1 didn’t match any.

Mrs. Kleim bought 5 boxes of 15 pencils to give to her students. If she has 26 students in her class, how many pencils can she give each student? How many pencils will she have left over?

Answers

Answer:2

Step-by-step explanation: 15x5=75

75/26=2.886

Find the 7th term in the
sequence
-1, -3, -9,...

Answers

Answer:

The answer is 729

Step-by-step explanation:

to get the next term, the sequence multiples the previous number by -3

1 * -3 = -3

-3 * -3 = 9

and so on.

To get the 7th term:

-27 * -3 = 81 (5th term)

81 * -3 = -243 (6th)

-243 * -3 = 729 (7th)

Answer:

The seventh term in the sequence is -729.

Step-by-step explanation:

Notice that the sequence is not increasing linearly. Therefore, this is a geometric sequence.

Recall that the explicit formula for a geometric sequence is given by:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the first term, r is the common ratio, and n denotes the nth term.

From the sequence, we can see that our first term a is -1.

Because each term is thrice the previous, our common ratio r is 3.

By substitution:

[tex]x_n=-(3)^{n-1}[/tex]

Hence, the seventh term is:

[tex]\displaystyle \begin{aligned} x_7 & = -(3)^{(7)-1} \\ \\ & = -(3)^{6} \\ \\ & = -729\end{aligned}[/tex]

In conclusion, the seventh term is -729.

HELP ASAP,,,,,,,,,,,,,,,

Answers

Answer:

3. it should be positive 3.5

4. (-2,4); (4,2); (6,-9)

Step-by-step explanation:

solve v = 1/3 bh for b the base of the cone

Answers

Answer:

[tex]b = \frac{3v}{h} [/tex]

Step-by-step explanation:

[tex]v = \frac{1}{3} bh[/tex]

First of all multiply through by 3

That's

[tex]3v = \frac{1}{3} \times bh[/tex]

We have

[tex]3v = bh[/tex]

Divide both sides by h to make b stand alone

That's

[tex] \frac{bh}{h} = \frac{3v}{h} [/tex]

We have the final answer as

[tex]b = \frac{3v}{h} [/tex]

Hope this helps you

miranda made some cupcakes for the school bake sale. Of the cupcakes 1/2 are choclate and 1/2 are strawberry. Of the strawberry cupcakes, 1/3 are frosted with vanilla frosting, and the rest are frosted with choclate frosting. What portion of the cupcakes are strawberry with chocalate frosting?

Answers

Answer:

2/3

Step-by-step explanation:

3/3 = 1 whole

3/3 - 1/3 = 2/3

my hw write find an equation of the line passing through (-2,3) and (4,-5) I have to write the equation in slope-intercept form I need help

Answers

Answer:

The line passing through the given points is:

[tex]y=-\frac{4}{3}x+\frac{1}{3}[/tex]

in its slope-intercept form

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points using the slope formula:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

which for our case renders:

[tex]slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}[/tex]

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

[tex]y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}[/tex]

Therefore, the equation of the line becomes:

[tex]y=-\frac{4}{3}x+\frac{1}{3}[/tex]

What’s the measure of x for the for each figure?

Answers

Answer:

a)73

b)27

c)58

d)70

What's the perimeter of triangle ABC

Answers

Answer:

[tex]\Large \boxed{12.9}[/tex]

Step-by-step explanation:

BC = B’C’

BC = 2

The perimeter of a triangle is the sum of all its sides.

[tex]\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9[/tex]

The perimeter of the triangle is 12.9.

Answer:

12.9 is the perimeter

Step-by-step explanation:

BC is 2 since B’C’ is equal to BC.

Add all sides to get perimeter.

5.1+5.8+2=12.9

You’re welcome.

- bananamilkshake43

12. Write the first five terms of two different sequences that have 10 as the
second term. Describe the pattern in each of your sequences.

Answers

Answer:

a)  The arithmetic sequence with common difference 2 that has 8 as the first term.

b) The arithmetic sequence of common difference -5 and first term 15.

Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

8, and (8+2) = 10 Therefore the second term is 10.

Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:

15, and  (15 - 5)  = 10. Therefore again a 10 as second term.


imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?

Answers

Answer:

100N

Step-by-step explanation:

If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.

THe net force will the sum total of both forces acting on the desk.

Net force F = F1+F2

Given F1 = +150N and F2 = -50N

Net force F = +150N+(-50N)

Net force F = +150N-50N

Net force F = +100N

Hence the net force on the desk is 100N

State the domain and the range of each relation. Then determine whether the relation is a function. Write yes or no. {(2,7), (3,10), (1,6)}

Answers

Answer:No its not a function the domain and range is on a ti84 caculator

Find the equation of the line perpendicular to y=2x-6 that passes through the point (1,5). If possible, write the equation in slope-intercept form.

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 6 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (1, 5) into the partial equation

5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = 5 + [tex]\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex] ← equation of perpendicular line

Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6. What could her original problem have been? Also it is written in decimals.

Answers

Answer:

Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too

Answer:

it would be Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

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