John was adding Rational Numbers. He showed his work below. What was John's error?

Explain to John how to solve it correctly.

Adding Rational Numbers Error.

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

Complete question is;

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes

Answer:

x = √(12² + 16²)

Step-by-step explanation:

We are told that;

She bikes from health club to South = 16 miles

From South to West = 12 miles

Her trainer bikes from the health club to meet her at the end which is west.

I have attached a diagram showing this movement in form of a triangle.

From the diagram I attached, I have depicted the distance the trainer bikes as x.

Using pythagoras theorem;

x² = 12² + 16²

x = √(12² + 16²)

Answer:

Step-by-step explanation:

Use the law of cosines:

Apply to the given triangle and solve for x:

Answer:

Y = 4 and X = -6 ,  So the equation would be 4 + -6

Step-by-step explanation:

Look at were the line go across the numbers in Line Y and Line X this will help you understand more. And i also answered first :)

Answer:

y=3/2x+4

Step-by-step explanation:

First we find the slope.

To find the slope, we use this equation:

x2-x1/y2-y1=slope

So, we just need to pick any two points on the line.

(0, 4) and (3, 6)

3-0/6-4

3/2

The slope is 3/2.

Now, all we need to find is the B in y=3/2x+B

B is also known as the y intercept.

Since the line passes through 4 when x=0, the y intercept is 4.

So the equation is:

Y=3/2x+4

Answer:

(-4)^10

Step-by-step explanation:

When doing this sort of problem, we multiply the exponents.

This is the power rule.

Answer:

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6

3 x 5

 =    

42

15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42

15

To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

Step-by-step explanation:

42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .

Here, we have,

given that,

7/3 divided by 5/6

so, we get,

7/3 / 5/6

=7/3 x 6/5

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6/3 x 5

= 42/15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42/15

To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

Learn more about the Division here:

brainly.com/question/22357901

#SPJ6

Answer: 1/4.5

Step-by-step explanation:

9/2=4.5

3:1 is the answer

it is simplified

Answer:

25-7

Step-by-step explanation:

"Substitute for": Replace x with ____

Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.

Answer:

The expression to substitute for x is: 25-y, as said in the first equation

Step-by-step explanation:

Not sure if you need to solve for the variables, but here:

To find y:

Put 25-y in place of x.

You will get:

5(25-y) + y = 10

Use the Distributive Property and multiply 25 and y by 5:

125 - 5y + y = 10

Combine like terms (the y's):

125 - 4y = 10

Put like terms on the same side (move the 125 to the right side of the equal sign by subtracting 125 from both sides:

-4y = -115

Divide both sides by -4:

y = 28.75 (or 28-3/4)

To find x:

Substitute 28.75 for y in either equation.

First equation:

x= 25 - 28.75

x= -3.75

Second equation:

5x + 28.75 = 10

Subtract 28.75 from both sides:

5x = -18.75

Divide both sides by 5:

x = -3.75

Answer:

18

Step-by-step explanation:

90/5=18

Answer:

A    27

Step-by-step explanation:

f(5) means x = 5, so substitute 5 into 1/9(3)^x

f(5) = 1/9(3^5) = 1/9(243) = 27

Answer:

27

Step-by-step explanation:

Answer:

n < 2

Step-by-step explanation:

Answer: Look at the explanation please.

Step-by-step explanation:

The first thing you would do is distribute the 2 to the n and the 3.

You will then get 2n+6-4<6

Next, you will have to subtract 6-4 and you will get 2

You will the have 2n+2<6

Subtract 2 from 2 to get 0 and from 6 to get 4.

Your left with 2n<4

Then, divide 2 from 2n and 2 from 4

Last, your answer will be n<2.

Graphing

Your graph would look like (from what I see in my book)

You have seven tick marks and in the middle will be 0.

From the left of 0 should have negative 1, 2, and 3

From the right of 0 would be positive 1, 2, and 3

On the top of 2 would be a open circle and an arrow going to the left.

Hope this helps :)

Answer:

22

Step-by-step explanation:

94-6 divided by 4

Answer:

LOOK BELOW IN STEP-BY-STEP

Step-by-step explanation:

First, do $94.00 times 4 which is $376

Then, take away 6 dollars from $376 which is $370

Hope that helped!!!

Answer:

1) yes

2) no

3) no

4) no

5) yes

6) yes

7) yes

8) yes

9) circle equation - B

10) circle equation - D

11) 12 people in each team

sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry

Answer: [tex]x=\sqrt{18}[/tex]

Step-by-step explanation:

We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.

[tex]3^2+3^2=\sqrt{18}[/tex]

Answer: x = 4.2

Step-by-step explanation:

To keep her bill at $71 per month, she needs to consume 4.2 gigabyte in a month.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the initial value of y.

Let y represent the amount of money paid for x gigabyte.

Given a flat cost of $50 per month and  $5 per gigabyte, hence m = 5, b = 50. Therefore:

y = 5x + 50

For a bill of $71 per month:

71 = 5x + 50

5x = 21

x = 4.2

To keep her bill at $71 per month, she needs to consume 4.2 gigabyte in a month.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

As given,

Per hour cost of Jack's plumbing = $100

Also,

Al's plumbing charges = 75x + 50 where x = time in hours .

Now,

Al's plumbing cost for 4 hours:

Here , x = 4

⇒75x + 5 = 75(4) + 50 = 300 + 50 = 350

∴ we get

Al's plumbing cost for 4 hours = $350

Now,

As Jack cost for 1 hour = $ 100

⇒ For 4 hour = 4×$100 = $400

∴ we get

Jack's plumbing cost for 4 hours = $400

As we can see that

$ 400 > $350

⇒Jack's plumbing cost for 4 hours  >  Al's plumbing cost for 4 hours

Now,

Al's plumbing charges = 75x + 50 where x = time in hours .

For 1 hour

75x + 50 = 75(1) + 50 = 125

Al's 1 hour cost = $125

whereas Jack Plumbing cost for 1 hour  = $100

∴ we get

$125 > $100

⇒Al's 1 hour cost > Jack's 1 hour cost

Now,

Al's 2 hour cost

75x + 50 = 75(2) + 50 = 150 + 50 = 200

Al's 1 hour cost = $200

whereas Jack Plumbing cost for 2 hour  = $200

∴ we get

$200 =  $100

⇒Al's 2 hour cost = Jack's 2 hour cost

Now,

Al's 3 hour cost

75x + 50 = 75(3) + 50 = 225 + 50 = 275

Al's 1 hour cost = $275

whereas Jack Plumbing cost for 3 hour  = $300

∴ we get

$275 <   $300

⇒Al's 3 hour cost < Jack's 3 hour cost

Als0,

Jack's plumbing cost for 4 hours  >  Al's plumbing cost for 4 hours

∴ we get

We can not say that Als Plumbing charge less than Jacks Plumbing for all repair jobs.

Because the charge is fluctuating ,

For 1 hour , Aly' charge is grater whereas The 2 hour cost of Jack's is higher.

So, the Correct answer is - No, Al's Plumbing charge is not always less than Jacks Plumbing for all repair jobs.

Answer:

I'm getting points

Step-by-step explanation:

so I can ask questionss

Answer:

19

Step-by-step explanation:

31 +9 =40

40 by 2 = 20

9-5=4

4 by 4= 1

20-1= 19

Answer:

15x6

Step-by-step explanation:

do 15x6 and what that is, is the answer

Answer:

Step-by-step explanation:

Yes it is a function. Every x has only 1 y associated with it.

Answer:

tergtjmsrhatsfdghb

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is A

Answer:

3 cups = 348 calories

Step-by-step explanation:

Step 1

Let the calories in one cup be represented as C

Therefore

3/4 x C = 87 calories

C = 87 X 4 / 3 = 116

unit rate is 116 calories per cup.

Step 2- Solving the number of calories in 2 cups

1 cup serving = 116 calories

2 cups servings = 116 x 2= 232 calories

116 x 3 = 348 calories

Credit: tutorAnne

Answer:

23

Step-by-step explanation:

6/3 = x-5/9 simplify the first fraction

2= x-5/9 multiply both of the sides

18 = x-5/9 move it around correctly

-x=-5-18 calculate it

-x=-23 the negatives cancel out

x=23

Answer:

20 %  40%  60% 80% 90% is the numbers you're missing.

Step-by-step explanation:

10 ,20, 30, 40, 50, 60, 70,  80, 90, 100. The numbers underlined is what you're missing and their in order. 10-100.