Lance is solving the equation 2(2x + 1) - (3x - 5) = 17. His steps are shown below: Step 1: 4x + 2 - (3x - 5) = 17 Step 2: 4x + 2 - 3x - 5 = 17 Step 3: x + 2 - 5 = 17 Step 4: x - 3 = 17 Did Lance make a mistake? If so, in which step did he make the mistake and what was his mistake?

Answers

Answer 1

Answer:

Lance made a mistake

His mistake was in step 2

Step-by-step explanation:

Yes, Lance made a mistake.

He made a mistake in step 2 of his solution.

The mistake he made was that he was supposed to open the bracket of -(3x-5) to give -3x + 5

The 5 is supposed to have a positive value and not a negative


Related Questions

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

x= 14

y=5

Step-by-step explanation:

AOC and BOD are vertical angles so they are equal

AOC = BOD = 25

MOD = 90

MOD = MOB+ BOD

90 = 3x+23  + 25

Combine like terms

90 = 3x +48

Subtract 48 from each side

90-48 = 3x

42 = 3x

Divide by 3

42/3 = 3x/3

14 =x

We know that 5y+ 3x +23+90 = 180 since AB is a straight line

5y+ 3x +113 = 180

subtract 113 from each side

5y+3x =67

5y+ 3*14 =67

5y +42 = 67

5y = 67-42

5y = 25

Divide by 5

y = 25/5

y =5

Answer:

Step-by-step explanation:

x=14

674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+

Answers

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

0
What is the value of 12?

Answers

Answer:

1

Step-by-step explanation:

[remember: any number raised to the power of 0 is 1]

∴ 12^0 = 1

hope it helps you!!

12 0 has the value of 1

There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students?​

Answers

you’re mommmmmmmmmmmmmmmmmm

Answer:

4:141

Step-by-step explanation:

first, wright out a ratio with what's given

20(teachers):705(students)

next, simplify the ratio by dividing both sides by the gcf

20: 705

20/5 : 705/5

4 : 141

What is the solution to

−(6m+8) =4(17−m)

Answers

Answer:

[tex]\boxed{m = -38}[/tex]

Step-by-step explanation:

[tex]-(6m+8) =4(17-m)[/tex]

→ Expand brackets

[tex]-6m-8=68-4m[/tex]

→ Add 8 to both sides to collect the whole numbers

[tex]-6m = 76-4m[/tex]

→ Add -4m to both sides to collect the m terms

[tex]-2m=76[/tex]

→ Divide both sides by -10 to isolate m

[tex]m=-38[/tex]

John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?

Answers

Answer:

John had $2088 originally in his savings accounts.

Step-by-step explanation:

Let John had $x originally in his saving account

He spent $198 on a radio. The remaining money = x - $198

4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)

= (1 - 4/12) of (x-198)

= 2/3 of (x-198)

John then put 2/9 if his remaining money into a checking account.

Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)

= (1 - 2/9) * 2/3*(x-198)

= 7/9 * 2/3*(x-198)

= 14/27(x-198)

Money left with him = $980

14/27(x-198) = $980

x - 198 = $980 * 27 / 14

x - 198 = 1890

x = 1890 + 198

x = 2088

Hence, John had $2088 originally in his savings accounts.

explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.​

Answers


A Principal to to a teacher

The government is an example of multiplying powers

Please help!! I don’t know it

Answers

1) m=2
B=8
Y=2x+8
2) the slop is 2
3)the slope is 0
4)the slop is -4/3

10. 2x =3 - 4y
Contains the point (-4,3)

Answers

Answer:

I don’t know what you’re trying to find but that equation does not contain the point.

Step-by-step explanation:

place the items in order from lowest to highest degree of internal organization


stomach
digestive system
epithelial stomach cell
stomach lining tissue​

Answers

Answer:

Simplest

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

Most complex

Answer:

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

I hope this helps

what is 2 days to 12 hours in a ratio​

Answers

Answer:

1:4 ? not really sure entirely what this question is asking. more context pls ?

Step-by-step explanation:

Answer:

2 to 12?

Step-by-step explanation:

What is the equation of this graph?

A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x + 2

Answers

Uhh I’m not sure but I think it’s A. I’m not 100%
yes the answer is definitely A. y=2x+7

715,000___7.15 x 10^5
>
<
=

Answers

7.15 x 10^5 is 715,000 so they are equal

You start at (-3,0). You move down 2 units and left 1 unit. Where do you end?

Answers

Answer: should end up on (-4 , -2)

Step-by-step explanation:

I need this today and in a few minutes not hours!!!​

Answers

Answer: I think its D if not its C im sorry if its wrong!

Step-by-step explanation:

Answer:

[tex]the \: \: answer \: \: of \: \: this \: \: question \: \: is \: \:1 \frac{17}{25} [/tex]

A. 1 17/25 is the correct answer of this question.

Thank you ☺️☺️

What is the answer I don’t understand how to do it

Answers

The answer is negative 22 (-22)

Answer:

= -22

Step-by-step explanation:

In a simple way to say it, all you have to do is add.

Remember that two negatives being added together will remain a negative.

Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.

Or simply add the 11 and then add the negative sign next to it.

-(11+11)= -22

Hope this helps! :)

The formula for the perimeter of a rectangle is P=2(l+w). Solve for w.

Answers

Answer:

w = p/2 - l

Step-by-step explanation:

Hope this helps!!

Answer:

W=(P-2L)/2

Step-by-step explanation:

W=(P-2L)

Then what ever number you get divide by 2

To get the width

Solve for a
3a +1=4. With a 7 under it

Answers

Answer:

a=9

Step-by-step explanation: 

(3a+1)/7=4

This deals with linear equations with one unknown.

Overview

Steps

Terms and topics

1 result(s) found

a=9

See steps

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3*a+1)/7-(4)=0  

Step by step solution :

STEP

1

:

           3a + 1

Simplify   ——————

             7    

Equation at the end of step

1

:

 (3a + 1)    

 ———————— -  4  = 0  

    7        

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        4     4 • 7

   4 =  —  =  —————

        1       7  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3a+1) - (4 • 7)     3a - 27

————————————————  =  ———————

       7                7    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3a - 27  =   3 • (a - 9)  

Equation at the end of step

3

:

 3 • (a - 9)

 ———————————  = 0  

      7      

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(a-9)

 ——————— • 7 = 0 • 7

    7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (a-9)  = 0

Equations which are never true:

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    a-9 = 0  

Add  9  to both sides of the equation :  

                     a = 9

One solution was found :

a = 9

Hope this helps! Please mark Brainliest!

subtract the 1 multiply by 7 on each side and divide by 3 a=7

How many tens do you see?4.There are 4 tens and how many ones?0.4 tens = 0 ones

Answers

Ik give u the answer rn wha grade u in

A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?

Answers

Answer:

There can be up to 12 short essay questions

Are rational numbers closed under squaring?

Answers

Answer:

The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication

Step-by-step explanation:

(-9.5) to the power of 0

Answers

Whenever it’s to the power of 0 the answer is 1 but idk if it’s negative use photomath

3(x-5) = 5x - (3 - x)

Answers

Answer:

X=-4

Step-by-step explanation:

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

X= -4

Step-by-step explanation:

solve this please!!!!!!!!!!

Answers

Answer:

x= 3/a

Step-by-step explanation:

check the attachment for a walkthrough!

What he said.............

The value of 30 - (2 - 4) ÷ (-2) is _____.

-16
31
-14
29

Answers

Answer:

29.

Step-by-step explanation:

If 225 widgets were produced in 2.2 hours what is the hourly production rate

Answers

Answer: The hourly production rate is about 102.3 widgets per hour

Step-by-step explanation:

1.) divide 225 by 2.2, which gives you 102.2727

2.) round to the nearest tenth

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -36.14 degrees Celsius and a boiling point of 324.84 degrees Celsius . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid​ state?

Answers

Answer:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = [tex]\frac{9}{5}[/tex] θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C

⇒ F =  [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32

      = [tex]-33.052^{o}[/tex]F

The boiling point = [tex]324.84^{o}[/tex]C

F =  [tex]\frac{9}{5}[/tex] x  [tex]324.84^{o}[/tex] + 32

  = [tex]616.712^{o}[/tex]F

The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1. (−4, 1) (1, −1) (1, 1) (−4, −1)

Answers

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

I took the quiz and got it right

us
How many milliliters are in
12 teaspoons?
1 tsp = 5 mL
12 tsp = [?] mL
Enter

Answers

answer: 60 mL


explanation: 12x5=60
59.147 milliliters are in 12 tsp because 4.929 milliliters are in one

Respond to the following question with either a TRUE or FALSE: "The following parabola opens down: f (x) = -x2 + 5"
O TRUE because the leading coefficient is negative.
O TRUE because the linear function is negative.
O FALSE because the 5 is.positive.
O FALSE because this function is actually linear and not a parabola.
O I'm not sure how to approach this problem...yet.

Answers

Answer: A) True because the leading coefficient is negative

Explanation:

The leading term is -x^2 since this term has the largest exponent.

The leading coefficient is -1 as it's the coefficient of the leading term.

It might help to write -x^2 as -1x^2

The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.

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