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.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6















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:

Yes it is possible

Step-by-step explanation:

let a = 10.3, b =5.8 , c= 4.6

a+b= 16.1>4.6=c

b+c=5.8+4.6=10.3>10.3=a

c+a=4.6+10.3=14.7>5.8=b.

Answer:

22,100

Step-by-step explanation:

Answer:

the answer in 18,300

Step-by-step explanation:

2 x 3 5/8= 7 1/4

7 1/4 +1 9/10= 9 3/20

9 3/20 / 2= 18 3/10

18 3/10 x 1000=18,300

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

Answer:

a₆₀ = 1052

Step-by-step explanation:

There is a common difference between consecutive terms , that is

8 - (- 10) = 26 - 8 = 18

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 18 , then

a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052

Answer:

a(60) = 1052

Step-by-step explanation:

Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again.  Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:

a(n) = -10 + 18(n - 1)

Therefore, the 60th term is

a(60) = -10 + 18(59), or

a(60) = 1052

Answer:

how many kids are in each class though

Answer:

1. f(3) = 11

2. f( 1 ) = 6

3. f(-2) = -5

Step-by-step explanation:

Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3.  However, I will provide the correct answer for question 3, as your reference.

In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).

To evaluate the given linear function, simply substitute x = 3 as an input into the function:

f(3) = 2x + 5

f(3) = 2(3) + 5

f(3) = 6 + 5

f(3) = 11

Therefore, the value of f(x) = 2x + 5 given f(3) is:  f(3) = 11.

Similar to question 1, substitute x = 1 as the input of the given quadratic function.

f(x) = x² + 2x + 3

f( 1 ) = ( 1 )² + 2( 1 ) + 3

f( 1 ) = 1 + 2 + 3

f( 1 ) = 6

Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.

If evaluated properly, the correct answer is: f(-2) = -5.

Answer:

Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

-3 ≤ x ≤ 0

Step-by-step explanation:

2x + 3 ≤ 3

2x ≤ 0

x ≤ 0

-2x - 3 ≤ 3

-2x ≤ 6

x ≥ -3

Answer:

Step-by-step explanation:

[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]

The answer is yes.

Step-by-step explanation:

The number outside the bracket gets multiplied with both the numbers inside the bracket.

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

Answer:

6

Step-by-step explanation:

6/7 - 3/8= 27/56

Answer:

it is 6

Step-by-step explanation:

Hello!

X*X*X=X times X times X = X³

Y*Y*Y*Y*Y=Y times Y times Y times Y times Y= Y⁵

Hope it helps you! :)

Let me know if you have any query or need further explanation. :)

~A determined gal

[tex]MagicalNature[/tex]

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

Answer:

A is the best answer to give

BRAINLIST ???

Answer:

C a line that shows the set of all solutions to the equation

Step-by-step explanation:

y = -4x+7  is the slope intercept form of a line

The slope is -4 and the y intercept is 7

~exponent

===========================

(4a⁵b⁶)⁴

= 4⁴ × (a⁵)⁴ × (b⁶)⁴

= 256 × (a⁵)⁴ × (b⁶)⁴

= 256a²⁰ × (b⁶)⁴

= 256a²⁰b²⁴ ✔️

~ nice to help you ^^

(4a⁵b⁶)⁴ = ?

= 4⁴ (a⁵)⁴ (b⁶)⁴

= 256a²⁰b²⁴

Answer:

(4 + d) × 2

Step-by-step explanation:

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ7

Answer:

A or C

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

23/5=4.6

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Answer:

= k

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

Answer:

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°