Here is how Noah solved his math problem. Do you agree with his method?
Explain why or why not.
Noah's method:
add 9 to each side
2(x - 9) = 10
2(x-9)+9 = 10 + 9
2x = 19
2x - 2 = 19-2
19
2
divide each side by 2
X=

Answers

Answer 1

No, because he kept adding to both sides rather than distributing 2 from x and 9 from the start

Answer 2

Answer:

I don't agree with his method because he should've used the distribute method for the first step. For step 2, he would've needed to add 18 on both sides. Step 3 would be for him to divide both sides by 2, not subtract 2.

Step-by-step explanation:

2(x - 9) = 10

step one: distribute

⇒ 2x - 18 = 10

step two: add 18 on both sides and then simplify

⇒ 2x - 18 + 18 = 10 + 18

⇒ 2x = 28

step three: divide both sides by 2

⇒ [tex]\frac{2x}{2} = \frac{28}{2}[/tex]

⇒ x = 14


Related Questions

Rachel is a nurse she owns 12 vacation days after working 768 hours how many hours does Rachel need to work to earn one vacation day

Answers

2.6 so like 3 days........
She needs to work 64 hours to earn one vacation day.

Plssss help! Find the perimeter of each polygon. Assume that lines which appear to be tangent.

Answers

Answer:

11) 75.2

12) 44.2

Step-by-step explanation:

angles formed by intersecting lines tangent to a circle are the same length.

11)

Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2

12)

Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2

A figure that has three dimensions is called​

Answers

Answer:

pyramid

Step-by-step explanation:

gooooooooooooooooooooooooooooooogle

Answer:

Answer :prisms and pyramids

Use synthetic division to find the result
when (x3 - 2x2 - 19x + 20) is divided by (x +
4).

Answers

Answer:

x^2 - 4x - 3 + 28/x+4

Step-by-step explanation:


If a 20 foot ladder makes a 58° with the ground, how many feet up a wall will
the ladder reach? Round your answer to the nearest tenth

Answers

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

I need to know these as well- Ive been staring at my screen and I cant figure them out-

Answers

1. B and D
2. No Solutions ( I think)
3. (4, -1)

A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers.

Answers

Answer:

This rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Step-by-step explanation:

In order to find the rate in kilometers per hour, you have to consider that 1 meter per second is equal to 3.6 kilometers per hour and you can use a rule of three with this information:

 1 meter per second     →    3.6 kilometers per hour

10 meters per second   →                      x

x=(10*3.6)/1=36 kilometers per hour

Now, you can use the formula to calculate speed and solve for the distance:

speed=distance/time

36=distance/4

distance=36*4

distance=144 km

According to this, the answer is that this rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Help I have 10 mins.

Answers

Answer:

[tex]\sqrt{0.5}[/tex]

Step-by-step explanation:

cosx=adj/hyp

adj= [tex]\sqrt{2}[/tex]/2

hyp= r

cos(45)= ([tex]\sqrt{2}[/tex]/2)/r

[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r

   multiply both sides by r

([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2

    divide both sides by [tex]\sqrt{2}[/tex]/2

r = 1

pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a = [tex]\sqrt{2}[/tex]/2

b = y

c = r = 1

[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]

    [tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5

0.5 + [tex]y^{2}[/tex] = 1

    subtract 0.5 from 1

[tex]y^{2}[/tex] = 0.5

[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]

y = [tex]\sqrt{0.5}[/tex]

Which applies the power of a product rule to simplify (50) ?
(50) 3 - 56
(51) 3 = 3(57) - 154
(50 ° - 5373 = 1251
(50) 3 - 5 t = 1251

Answers

The answer is d. Thx ;)

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Courtney picked 7 quarts of blueberries. She wants to share them equally among 3 of her neighbors. What fractional part of the blueberries that Courtney picked will each neighbor get? *

Answers

Answer:

7 / 1/3

Step-by-step explanation:

Anyone who helps me answer I’ll brainliest them :D

Answers

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The
front of the yard is 4 feet more than twice the length of one side of the yard. The sides of the yard are the same length. If
the perimeter of the yard is 80 feet, what are the dimensions of the fence?

Answers

9514 1404 393

Answer:

sides: 12 feetfront: 28 feet

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

  P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

  80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

  40 = 3x +4 . . . . . . . . divide by 2, collect terms

  36 = 3x . . . . . . . . . subtract 4

  12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

  2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

Find the CIRCUMFERENCE of the circle.

Answers

Answer:

25.1327412287

Step-by-step explanation:

The scale on a map Is 1 Inch to 3 mlles. If the distance between two points is 6 Inches, what proportion should you use
to find the actual distance?
3 miles/1 inch=6 inches/ x x/1 inches = 6 inches/3 miles x/1 inch= 6 inches/3 miles 1inch/3 miles= 6 inches/x

Answers

631 is the answer because it x + y

What is this? Help would be highly appreciated:)

Answers

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

How long is the wire that supports the tree
10
5.6 ft
3.3 ft-

Answers

5.6 ft would be the correct answer

simplify the expression 3x -2y+6-6x+5y-8

Answers

Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

you combine like terms

therefore the answer is -3x+3y-2

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

At Maddison high school each student studies one foreign language is 3/5 take Spanish and one-fourth of the remaining take german what percent takes frnechan how

Answers

Answer:

Step-by-step explanation:

3/5 = 0.6

1 - 0.6 = 0.4 students left

Multiply the amount of students remaining by the fractional amount that take German

0.4  x  1/4   =   0.1

1 - 0.6 - 0.1 = 0.3

0.3 x 100 = 30%

Therefore 30% of students take French

URGENT HELP
m∠T = ?
URGENT HELP

Answers

Answer:

105

Step-by-step explanation:

Hello There!

(Let x = angle T)

if you didn't know an exterior angle of a triangle is equal to its two opposite interior angles

So basically

155 (being the exterior angle) is equal to 50 + x (being the opposite interior angles)

so x = 155 - 50

155 - 50 = 105

so we can conclude that x (angle T) equals 105

Answer:

105 degrees

Step-by-step explanation:

The angle measure of the exterior angle is equal to the sum of the two nonadjacent interior angles (angle V and angle T).

155 - 50 = 105


Three cards are selected one after the other from a standard deck of 52 cards.
What is the probability that all three cards are spades if none of the first two cards is replaced?

Answers

Answer:

[tex]\frac{11}{850}[/tex]

Step-by-step explanation:

Let's see

The probability of the first card being a spade is 13/52 (as there's 13 spades in the deck.

The probability for the second card is 12/51 (because there's 12 spades left in 51 cards total).

The probability for the third is - you guessed it! - 11/50

so the total probability is:

[tex]\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50} = \frac{1}{4} \cdot \frac{4}{17} \cdot \frac{11}{50} = \frac{1}{17} \cdot \frac{11}{50} = \frac{11}{850}[/tex]

A more generic solution:

Let's use the binomials to find the solution with combinations:

We need to pick 3 cards out of 13. This can be done in

[tex]\binom{13}{3} = \frac{13!}{3!\cdot10!}[/tex] ways.

And the total number of ways to pick 3 cards out of 52 is:

[tex]\binom{52}{3} = \frac{52!}{3!\cdot 49!}[/tex]

So the probability is:

[tex]\frac{ \binom{13}{3} }{ \binom{52}{3} } = \frac{ \frac{13!}{3!\cdot 10!} }{ \frac{52!}{3!\cdot 49!} } = \frac{ \frac{13!}{10!} }{ \frac{52!}{49!} } = \frac{13 \cdot 12 \cdot 11}{52 \cdot 51 \cdot 50}[/tex]

Which again brings us to the result computed before.

A teacher gave a 3-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guessed on every problem, what is the probability that they will have 2 or less correct answers?

Answers

Answer:

0.9844

Step-by-step explanation:

This is a binomial probability problem.

Probability of getting a correct answer: p = 1/4

Probability of getting an incorrect answer: q = 3/4

Number of questions; n = 3

Thus;

probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

From binomial probability the formula is;

P(X = x) = C(n, x) × p^(x) × q^(n - x)

P(X = 2) = C(3, 2) × (¼)² × (¾)¹

P(X = 2) = 3 × 0.0625 × 0.75

P(X = 2) = 0.1406

P(X = 1) = C(3, 1) × (¼)¹ × (¾)²

P(X = 1) = 3 × 0.25 × 0.5625

P(X = 1) = 0.4219

P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³

P(X = 0) = 0.4219

P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219

P(x ≤ 2) = 0.9844

Some Bollywood films are popular with non Indian audiences.



Monsoon Wedding made _____________worldwide in 2001.

Another film, Slumdog Millionaire, which was British and Indian, made more than _________worldwide and received many awards.

Group of answer choices

A. $17 million; $589 million

B. $20 million; $1 billion

C. $15 million; $377 million

D. $16 million; $478

Answers

Answer:

d

Step-by-step explanation:

IT is d bc Some Bollywood films are popular with non Indian audiences.

I need help pls, what’s the answer?

Answers

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Which expression is equivalent to 4(x+1)-7x

Answers

4-3x

gdsyhffuussghjydxv
The answer is: -3x + 4

Need help plz im really stuck

Answers

Answer:

um with what plz tell for I can help you

A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3? x = 3 3 < x < 5 3 ≤ x ≤ 4 3 ≤ x < 5

Answers

The Answer is:  x = 3

Answer: A. x = 3 is the right one!

PLS HELP ME!!!!!!
5w ≥ –6w + 11

Answers

Answer:

w ≥ 1

Step-by-step explanation:

Given

5w ≥ - 6w + 11 ( add 6w to both sides )

11w ≥ 11 ( divide both sides by 11 )

w ≥ 1

As a retiring employee, Khadijah receives 5% of her average teaching salary for the last five
years she worked. She receives this salary for every year of employment with the company.
Khadijah plans on retiring after 15 years with the school system and then start her own
Corporation. Her salaries for the last five years are $65,000, $70,000, $82,000, $83,000, and
$88,500. Calculate Khadijah's total retirement salary for 15 years.

Answers

Answer:

Step-by-step explanation:

Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100

5% of $77,100 = $3,855

15 years * $3,855/year = $57,825

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