Math please help 20 points plus brainly if you can answer each question.


The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.

Answer the questions to solve the equations and to compare the steps and solutions.

1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?

Circle the best answer.

Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?


Write your answer in the space below.















3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?

Circle the best answer.

Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?


Write your answer in the space below.















6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.


Write your answer in the space below.

Answer:

8/3

Step-by-step explanation:

to multiply 3 by 8/9 then convert 3 into a fraction

3/1 x 8/9 (multiply across)

24/9 (now simplify)

8/3

Answer:

4 2/3

Step-by-step explanation:

Answer: y = 28.8

Step-by-step explanation:

By using ratios

if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8

Answer:

x3

Step-by-step explanation:

Answer:

the y-intercept would be 24

Step-by-step explanation:

hope this helps! :D

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

Answer:

y = 75

z = 43.3

Step-by-step explanation:

To find the value of y we use the trigonometric identity Sine.

[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]

Now to find the value of z we can use the trigonometric identity Tangent.

[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]

We know the value of y is 75 so it becomes,

[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]

Answer:

y=-150 ' z = - 468

Step-by-step explanation:

Sin angle = opp/hyp

Cos 30 = y/150

y = 150 ×( cos30)

y= - 150

Tan angles = opp / adj

Tan 60 = - 150 / Z

Z = (-150) / tan 60

Z = (-150) / 0.32

Z= - 468

Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

Answer:

I think its the angle xyz

Step-by-step explanation:

Because its just bigger and flipped

Answer:

I don´t either.

Step-by-step explanation:

Answer:

[tex]\frac{62}{45}[/tex]

Step-by-step explanation:

Answer:

x = 1, y = -1, z = 3

Step-by-step explanation:

x - 2y + 2z = 9

y + 2z = 5

z = 3

According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:

x - 2y + 6 = 9

y + 6 = 5

We can subtract 6 from both sides of the second equation to end up with:

y = -1

Now plugging this into the first equation, we have:

x + 2 + 6 = 9

x + 8 = 9

Subtract 8 from both sides

x = 1

Answer:

This is really easy it's D

Step-by-step explanation:

Answer:

It's C: 82.5

Step-by-step explanation:

Answer:

35% off

Step-by-step explanation:

Answer:

2688

Step-by-step explanation:

Step-by-step explanation:

-1 - root3

The value of the given expression 2cos2(105⁰) − 1 is,

⇒ - 1 - √3

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We have to find the value of;

⇒ 2cos2(105⁰) − 1

Now, We can Plug 105° = θ

So, the expression becomes,

⇒ 2cos2θ - 1

Using the formula;

cos2θ = 1 - 2sin^2θ

We get;

⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1

                    = 2 - 4sin^2θ - 1

⇒ 2cos2θ - 1 = 1 - 4sin^2θ

Now, Again plug θ = 105°

⇒ 2cos2(105°) - 1  = 1 - 4sin¹⁰⁵

⇒ 2cos2(105°) - 1  = -1 - √3

Hence, The value of the given expression is,

⇒ (-1 - √3)

Learn more about trigonometric function visit:

brainly.com/question/1143565

#SPJ3

Answer: there isn’t a graph shown

Step-by-step explanation:

Answer: The first.

Step-by-step explanation: If you draw out a triangle and lable the points on each point with values from each triangle, you get J=M, K=N, and L=O. The first is the only one that proves it.

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

Answer:

the student answer is incorrect

Correct answer: y = 109x + 5

Step-by-step explanation:

He STARTS with $5, which means it says aside. Since he REPEATEDLY recieves $109 EVERY day, it is as 109x because you don't know how much days there are.  So the correct equation is y = 109x + 5.

Hope this helps!

Have a nice day!

Answer:

sas :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

48 mins

Step-by-step explanation:

40 x 120 /100

= 48

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

x = 5

Answer:

b

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

a is located in the left side of 0 . HENCE IT IS A NEGATIVE NUMBER . b & c are on the right side of 0. HENCE BOTH ARE POSITIVE NUMBER

In option B , it's given that -a > -c . If we'll verify this statement , we'll find that when we put the negative sign in a , the all totla value of a becomes positive BECAUSE 'a' WAS A NEGATIVE NUMBER.

Now if we put a negative sign in c , the all total value becomes negative BECAUSE 'c' WAS A POSITIVE NUMBER.

By comparing -a & -c , we'll get to know that :-

-a > -c

Answer:

The slope would be 2

Step-by-step explanation:

All you do is pick two order pairs: (2,6) and (4,10),  then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.

Answer:

y=9x (O 1)

Step-by-step explanation:

9 times the number of gifts he bought which lets say is x will equal your answer (y).

Answer:

She will be able to fill 9 shelves with 1 book left over.

Let me know if you need more help! :)

Step-by-step explanation:

883/98

=9

9 books will be left

Answer:

the answer to your question is 0.4375