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.

John Was Adding Rational Numbers. He Showed His Work Below. What Was John's Error?Explain To John How

Answers

Answer 1

Answer:

-5 3/5

Step-by-step explanation:

John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so

(-7 4/5) + (2 1/5), convert to improper fractions

-39/5 + 11/5, both fractions have common denominator so we can continue

-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions

-28/5 = (-25/5) + (-3/5) = -5 3/5


Related Questions

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?​

Answers

It is the place value in the hundreds

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The value of 5 in the given numbers can be written as,

The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

Learn more about the Place Value here:

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#SPJ2

Calculate the slope look at pic. Help plz!

Answers

0 if it is parellel to the x axis then the slope is 0

Using the equation 2 + 3/41 = 5, what does the value of I equal?

Answers

Answer:

i did't see the value I in the equation

Step-by-step explanation:

calcule el cociente de los siguientes ejercicios
(-8)/(+2)​

Answers

Answer:

-4

Step-by-step explanation:

-20 greater than or equal to 5w

Hurry!!!

Answers

w = -4 or more because -4 times 5 equals -20.

Choose the number that correctly completes the ratio table.

Answers

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?

Answers

Answer:

If he deposited weekly, he would be depositing 9 dollars each week.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if it helped ;)

A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?

Answers

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

​9 ×​ 10²
I NEED ANSWERS QUICK

Answers

900.


Hope this helps!

Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)


Answers

Mr. Thomas can make 50 batches of sugar cookies

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

what factors you think determines more earthquakes will occur in an area

Answers

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?

Answers

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

What is the product of 148x27

Answers

Answer:

3996 :)

Step-by-step explanation:

Answer:

3,996

Step-by-step explanation:

Hope this right.but if it's not,im so sorry

Can you help me on question 25?!

Answers

Not sure if I’m correct because I don’t know if I solved it the right way but it should be(and this is just a guess) A.

Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24

Answers

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

All even numbers
greater than two, can be written
as the sum of two prime numbers
Peter
Give three examples that show that Peter is correct.

Answers

Answer:

Step-by-step explanation:

3 + 5 = 8

7 + 11 = 18

11 + 19 = 30

use the bar diagram to help you solve the equation 4x-12=16.

Answers

Answer:

x = 7

Step-by-step explanation:

4x−12=16

Step 1: Add 12 to both sides.

4x−12+12=16+12

4x=28

Step 2: Divide both sides by 4.

4x/4 = 28/4 = 7

x=7

Use the slope formula to determine the slope of the line containing the two points.

(-1, -7) and (-6, -3)

A. 10/7
B. -4/5
C. -1/2
D. -5/4

Answers

the answer would be D

you take y1 - x1 and y2- x2 :)

Plz I need help this is due at 7:10

Answers

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

y = -2x + 3
4x - 5y = 13

Answers

I’m sorry butt I don’t understand

Answer:

letters do not belong in math

Step-by-step explanation:

1=1-2=3

How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!

Answers

Answer:

4.87500

Step-by-step explanation:

hope this helps

Answer:

4.875

Step-by-step explanation:

78 divided by 16 = 4.875

A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52

Answers

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

How can the amount interest accumulated be calculated?

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

Learn more about compound and simple interest here:

https://brainly.com/question/24557100

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2x+3y=5x-y2x+3y=5x−y

Answers

Here you go, please tell me if you got it right or wrong. Good luck! I’m sorry if it’s incorrect btw.

how do you know how many solutions are possible for a system of equations

Answers

Answer:

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

Step-by-step explanation:

If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.

Write the coordinates of the vertices after a reflection across the line x=-1

Answers

Answer:

U is (0,-8)

V is (0,-10)

T is (5,-8)

S is (5,(-10)

what is 0.48 times 0.4

Answers

Answer:

0.193

Step-by-step explanation:

Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?

Answers

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

Help me please quick!

Answers

Answer:

28

Step-by-step explanation:

All angles together in the triangle are 180.

62+90+x=180

x=180-(90+62)

x=180-152

x=28

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