Julio solved the equation as show below. He made a mistake and incorrectly concluded that the equation has no solution. What was Julio's mistake? What is the correct answer to the equation?​

Julio Solved The Equation As Show Below. He Made A Mistake And Incorrectly Concluded That The Equation

Answers

Answer 1

9514 1404 393

Answer:

  incorrect use of the distributive property in line 2

  infinite solutions

Step-by-step explanation:

The second line of Julio's work should read ...

  -x +5x +30 = 4x +30

Julio incorrectly distributed the 5 over the contents of parentheses.

__

Then the equation simplifies to ...

  4x +30 = 4x +30

  0 = 0 . . . . true for all x, infinite solutions


Related Questions

The thrift store is selling their old DVDs. When the DVDs first came out, they sold for $19. They have now been marked down by 75%.

A stack of D V D's is shown. They are marked seventy-five percent off.

What is the discounted price of a DVD?

Enter the correct answer in the box.

Answers

Answer:

4.75

Step-by-step explanation:

original price (100%) → $19

discounted price ((100-75)%) = (25%) → 25% x $19 = $4.75

Answer:

Step-by-step explanation:

Here's what we have to do:

1. 19 x 0.75

= 14.25

2. 19 - 14.25

= 4.75

3. 4.75 + 14.25

= $19

The Discount is $4.75, and the sale price is $19.00.

This strategy is correct and you should use it. I was confused from the answer, but this strategy has gotten every question correct. I used two types of calculators to double check.  I redid the equation three times. I am seriously confused. Hope this answer helped!

If this was not helpful, there are tons of special calculators on the internet. Such as the percent calculator, fraction calculator, and even markup and markdown/discount calculators.  

Rita plans to make a call using a calling card. For each call, Rita has two options:


1. Pay $0.49, plus an additional $0.019 per minute.


2. Pay $0.059 per minute.


She predicts that her call will be minutes long. Which inequality represents the statement, "Rita would save money using the second option"?

Answers

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

How to determine the inequality that represents the statement?

From the question, we have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

Read more about inequality at

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free brainliest for correct answer, just giving away points

Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?

Answers

Answer: 7

This is kind of a trick question. Each daughter has one brother- the same brother.

Answer:

14 people

Step-by-step explanation:

6(2) = 12

12 + 2= 14

I need help plz quickly!!:)

Answers

Answer:

the first option (2x+3y=-6)

Step-by-step explanation:

expand and simplify (2x+1)(3x+6)

Answers

Answer:

Step-by-step explanation:

6x^2 + 12x + 3x + 6

6x^2 + 15x + 6

Answer:

6x² + 15x + 6

Step-by-step explanation:

Use FOIL:

Multiply the first terms:

(2x)(3x) = 6x²

Multiply 2x and 6:

(2x)(6) = 12x

Multiply 1 and 3x:

(1)(3x) = 3x

Multiply 1 and 6:

(1)(6) = 6

Then, add these all together:

6x² + 12x + 3x + 6

Add like terms:

6x² + 15x + 6 is the simplified expression

3/4x-5 = x

Please show working .

Answers

3-5=4x

-2=4x

Divide both sides by 4

-2/4=4x/4

X= -1/2

Which expression represents 7 times the sum of a number and 8?

Answers

Answer:

7(x+8) or 7x+56

Step-by-step explanation:

Evaluate the expression when g=4 and h=38.

h-3g

Answers

Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.
Baylee gets 3 stickers each time she cleans her room. She wants to earn at least 15 stickers in April. How many times does she need to clean her room in April?

Answers

Answer:

3x ≥ 15At least 5 times

Step-by-step explanation:

Let the number of cleaning be x

Then required inequality is:

3x ≥ 15

Solving:

3x ≥ 15x ≥ 5

4x - 5y = 1
x= -6
Solve for x and y

Answers

Step-by-step explanation:

which of the following shows a proportional relationship

Answers

Answer:

h

Step-by-step explanation:

9514 1404 393

Answer:

  c)  H

Step-by-step explanation:

Consider the ratios of y to x:

  F: 4/2 ≠ 13/5

  G: 1/2 ≠ -2/5

  H: 10/2 = 25/5 = 30/6 = 50/10 . . . . a proportional relationship

  J: 3/2 ≠ 6/5

Table H shows a proportional relationship.

Eric earns $390 during a 30-hour week. How much does he earn per hour?

Answers

Answer:

$13

Step-by-step explanation:

We find the unit rate by dividing the money earned by the hours

$390/30

= $13

He earns $13 per hour

Answer:

I think its 13...

Step-by-step explanation:

Cameron won a laptop in a school raffle. The diagonal of the laptop measures 26 inches. The length is 24 inches. How tall is the computer screen?
plz help me

Answers

I need help to with this

How do you work this out?????

Answers

Answer: 3 x 3 I think

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

base times height

you do 3x times x to find area

x(3x)

3x^2

Need help.... please...

Answers

Answer:

The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -2,4,0

We can write them as

x=-2, x=4, x=0

or

x+2=0,x-4=0,x=0

Multiplying all terms:

[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]

So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]

John has 30 friends. Then amount of male friends is 4 more than the number of female friends. Which system can be used to find the number of male and female friends?

Answers

Answer:

The required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

Step-by-step explanation:

First of all, the variables have to be selected to represent the quantities.

Let m be the number of male friends and let f be the number of female friends.

Then according to first statement "John has 30 friends"

[tex]m+f = 30\ \ \ \ Eqn\ 1[/tex]

And according to second statement "amount of male friends is 4 more than the number of female friends."

[tex]m = f+4\ \ \ \ Eqn\ 2[/tex]

Hence the required system of equations is:

[tex]m+f = 30\\m = f+4[/tex]

(3x +8) - 6(2.5x - 3)

Answers

If you’re looking to simply the expression, the answer is -12x+26

help pls! answer all three questions for brainlist!! (15 points)

Answers

Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

For the first one: [tex](26*1334)dollars+(19*749)dollars=\\34684dollars+14231dollars=48915dollars[/tex] this is the expression of how much she spendsFor the second one:[tex]26employee*410dollars/employee=10660dollars\\10660dollars+162dollars=10822dollars[/tex] This was the original amount he hadFor the third one:So rectangles have two pairs of equal sides, 2 rectangles of the same size means their perimeter is [tex]2*(9feet+9feet+6feet+6feet)=60feet[/tex] Change to inches [tex]1foot=12inches,so,60feet=720inches[/tex] She takes 3 mins per inch then[tex]1inch=3minutes\\720inches=(3minutes)*720=2160minutes[/tex] Is how long she would take

Choose the statement that describes a way to solve the equation x – 23 = 18.


1. Subtract 23 from both sides of the equation.


2. Subtract 18 from both sides of the equation.


3. Divide both sides of the equation by 23.


4. Add 23 to both sides of the equation.

Answers

The correct answer is number 4

whats the circumference of a circle if the radius is 1.5 show your work

Answers

Answer:

well the eqaution is c=2pie r

the answer is 9.42

Step-by-step explanation:

hope this helpsss

Step-by-step explanation:

C=2πr

=2×22/7×1.5

=44/7×1.5

=9.42857143

help find the missing side length????

Answers

Answer:

24

Step-by-step explanation:

LHS and RHS have same length so 66 - 42 = 24

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

solve the equation for y: 1 / 3 x + y equals 4 ​

Answers

Subtract (1/3)x from both sides of the equation.

(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4

0 + y = -(1/3)(x) + 4

y = -(1/3)(x) + 4

Done!

f(x)=3x+7, find f (3)=

Answers

Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

I am less than 10 l am not a multiple of 2 l am a composite number.

Answers

Answer:

9 is the answer

Step-by-step explanation:

if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9  but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer

The number which is less than 10,  not a multiple of 2, and is a composite number, is 9.

What is multiplication?

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

I am less than 10 l am not a multiple of 2 l am a composite number,

The numbers which are less than ten are,

9, 8, 7, 6, 5, 4, 3, 2, 1, 0

The numbers which are not the multiple of 2 are shown below,

9, 7, 5, 3, 1, 0

The numbers which are composite are shown below,

9 = 3 × 3

Thus, The number is 9.

To know more about multiplication:

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In november it's about 50 degrees in New Jersey but in Antarctica it's about -40 degrees. How much colder is it in Antarctica then it is in New Jersey?

Answers

Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

find size of angle BAC

Answers

Answer:

i think the answer is 31°c

|3x| = 9
Variable please.

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

Determine which slope is the steepest. Explain why it is the steepest.
A) Slope=2
B) Slope= 1/2
C)Slope=-4

Answers

Answer:

Answer choice C

Step-by-step ex. 4 is the greatest number out of explanation:

The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.

Mary has $65,000 to invest into two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3,520 in total interest.

Answers

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second

Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?
Z={-21, -14, -7.0, 7, 14, 21}
A {-21, 21)
B. {-21.-7. 7. 21)
C: {-14, 0.14)
D. {-21, -14, -7)

Answers

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

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