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

Rita just bought a car for 15,000. She paid 20% down and borrowed the remainder at an annual interest rate of 9.0%. The loan will be repaid over four years with monthly payments of $298.62. How much is rita's down payment and how much did she borrow?

Answers

Answer:

Rita's down payment is $3000 and she borrowed $12000.

Step-by-step explanation:

The cost of the car is $15000.

Given that she paid 20% down and borrowed the remainder.

So, Rita's down payment= 20% of $15000

[tex]=\frac{20}{100}\times 15000[/tex]

= $3000

As she borrowed the remainder cost, so,

the borrowed amount = 15000-3000

= $12000

Hence, Rita's down payment is $3000 and she borrowed $12000.

QUESTION IS ON A PICTURE ​

Answers

Answer:

-9 is the correct answer of this question.

Thank you ☺️☺️

Brayden just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches.
Write an equation for L, in terms of t, representing the length of the candle
remaining unburned, in inches, t hours after the candle was lit.

Answers

Answer:

L = -0.75t + 6

Step-by-step explanation:

L = length (this is what equation you are looking to solve for

-0.75t because the candle burns at 0.75 in per hour so the value decreases, hence the (-)

+6 because the candle has a positive value of 6 inches to begin with

The standard form of what you are writing is called slope intercept form y = mx + b, learn it because it is very important for future math.

The equation of the candle remaining unburned at any given time is       L(t) = 6 - 0.75t.

What is a function ?

A function is a set of values of the dependent variable for specified independent variable.

According to the given question Brayden just lit a new candle and then let it burn all the way down to nothing.

The candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches we have to write an equation for L in terms of t where t represents time in hours and L(t) represents length of the candle remain unburned.

∴ L(t) = 6 - 0.75t.

At t = 0 the length of the unburned candle L(t) will be 6 inches and at t = 8 L(t) will be 0,So the candle can burn for 8 hours.

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12a^2-3ab+2b ;a=-5 b=4 ​

Answers

[tex]Answer:\\[/tex]

[tex]368[/tex]

[tex]Step\: by\: step \:explanation:\\[/tex]

[tex]12a^2-3ab+2b ; \\ \: if \: a=-5 \: and \: b=4

\\ 12a^2-3ab+2b = 12( - 5)^2-3( - 5)(4))+2(4) \\ 12a^2-3ab+2b = 300 + 60 + 8 \\ 12a^2-3ab+2b = 368[/tex]

Simplify 9 − (−4).
please help quickly

Answers

The Simplified answer is 13

John is 6 feet 3 inches what is his height in centimeters

Answers

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)

Greg has 5 baseball bats that have lengths of: 3/4 yards, 2/3 yards, 1/2 yards, 7/8 yards, 1 1/8 yards. What is the difference in length between his longest and shortest bats?

Answers

Answer:

1 1/8-4/8= 3/8

Step-by-step explanation:

Make sure they all have the same common denominator (24). Then pick out the smallest number and largest number,, and subtract.

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 8.
B.
It is the graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
C.
It is the graph of f(x) reflected about the y-axis and shrunk vertically by a factor of 8.
D.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 8.

Answers

Answer:

OTHER GUY IS WRONG!!!

Given that,

Each statement describes a transformation of the graph of f(x) = x.

We have to determine,

Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

According to the question,

Let, The graph f(x) = x,

Where r is the real number which is r >0.

And The graph of g(x) if g(x) = -8f(x),

The value of the r is -8.

The graph which describes the transformation of the given graph in the steps follows all the steps given below.

The function g(x) = 8f(x) reflects stretched the graph of f(x) vertically by a factor of r.

The function g(x) = -8f(x) reflects the graph of f(x) about the x-axis and stretched the graph of f(x) vertically by a factor of r.

The graph of g(x) = f(8x) shrink the graph of f(x) horizontally by a factor of r.

The function g(x) = f(-8x) shrink the graph of f(x) about the y-axis and shrink the graph of f(x) horizontally by a factor of r.

Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.

For more details refer to the link given below.

https://brainly.com/question/21981889

Solve the equation for x: 3x=.5

Answers

Answer:

[tex]x=\frac{1}{6}[/tex] or [tex]x=1.6667[/tex]

Step-by-step explanation:

All you have to do is divide both sides by 3. When dividing decimals it's sometimes easier to change it to a fractions like so: [tex]x=\frac{1}{2} /\frac{3}{1}[/tex] to divide fractions you multiply the reciprocal like this: [tex]x=\frac{1}{2} * \frac{1}{3}[/tex] to get [tex]x=\frac{1}{6}[/tex]

ok so how do u divide decimals by a whole number like for example 9.6 divided by 3 ​

Answers

Answer:

use a calculator if you don't have one use a google calculator

Step-by-step explanation:

What is the value of min the figure below? In this diagram, AABD ABCD.
8
m
C
A. 136
B. 572
C. 32
Ο Ο Ο
D. V632
E. 147
o
F. 274
HELP

Answers

Answer: Choice A) sqrt(136)

This is equivalent to 2*sqrt(34)

=======================================================

Explanation:

First let's find BD

The three triangles are similar, allowing for the proportion to be set up

AD/BD = BD/DC

9/x = x/8

9*8 = x*x

x^2 = 72

x = sqrt(72)

BD = sqrt(72)

Now we can use the pythagorean theorem. Focus on triangle BDC.

The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse

(BD)^2 + (DC)^2 = (BC)^2

(sqrt(72))^2 + (8)^2 = m^2

72 + 64 = m^2

136 = m^2

m^2 = 136

m = sqrt(136)

We can simplify this but your teacher has chosen not to. If you want to simplify, then,

m = sqrt(136)

m = sqrt(4*34)

m = sqrt(4)*sqrt(34)

m = 2*sqrt(34)

What is the solution of the following system

-2x-y=1

-4x-2y=-1

Answers

There are so solutions because they don’t intersect
It has no solution, hope this helps!

Solve

9x - 19 = 2x - 5

Answers

X=-2
Subtract the 2x from both sides and get 7x-19=-5 and then add 19 to both sides and you get 7x=-14 divide by 7 and x=-2

Answer:

x=2

Step-by-step explanation:

[PLEASE ANSWER ASAP, ON TIME LIMIT!] The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
Answer choices in picture.

Answers

Answer:

Option (2)

Step-by-step explanation:

pH level of a substance is determined by the formula,

pH = - log[H+}

where [H+] is the hydrogen ion concentration

Let the [H+] ion concentration = a

a = -log[H+]

log[H+] = -a

[H+] = 1 × [tex]10^{-a}[/tex]

Here 'a' is between 7 and 14.

Which means an alkaline substance must have the concentration between [tex]1\times 10^{-7}[/tex] to  [tex]1\times 10^{-14}[/tex].

From the given options, [tex]5\times 10^{-12}[/tex] moles per liter lies in the given range.

Therefore, Option (2) will be the answer.

Answer:

B

Step-by-step explanation:

Edg2020

Find 2 points that are 3 units from Point C and also share the same y-coordinate as Point C.

P.S its NOT -3,-5 -9,-5

Answers

Answer:

I'm guessing point C is (-6,-5)? But then, it would have to be the coordinates you listed, (-3,-5) and (-9,-5) because nothing else makes sense.

Or is it one of those questions that you give your own coordinates? I'm confused :'(

Ten is no less then a number q multiplied by 6.

Answers

Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

A trampoline has a jumping surface that is 10.3 feet long and 9.2 feet wide. What is the area of the jumping surface?

Answers

Answer:

10.3*9.2

the answer is 94.76

:)

When evaluating StartFraction (6.28 times 10 Superscript 12 Baseline) Over (3.14 times 10 Superscript 4 Baseline) EndFraction, what will be the exponent of 10 in the quotient?

Answers

Answer:

16

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

just did the quiz

There are a total of 64 students in the video game club and the Pokémon club. The video game club has 10
more students than Pokémon club. How many students are in each club?

Answers

Answer: Video game club has 37 members and the Pokémon club has 27 members

Step-by-step explanation:

Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
А
V = 7(3)h
B
V = *(3h)
CV = +(1.5)h
DV = +(1.5h)

Answers

It’s C. V= +(1.5)h. Hope this helped

simplifying radicals pt.1 please help ASAP and explain if possible

Answers

The answer is c 20√2

Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value of the given term, and explain what it means. Darnell starts saving the same amount from each week′s paycheck. The table shows the total balance f(n) of his savings account over time in weeks. Time (weeks) n 1 2 3 4 Savings account balance ($) f(n) 260 360 460 560 Determine the value of f(11) and tell what it represents in this situation. f(n) = + (n − 1) f(11) = After 11 weeks, Darnell′s savings account will have a total of $ .

Answers

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

[tex]a_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

Compute the value of f (11) as follows:

[tex]f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100][/tex]

        [tex]=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360[/tex]

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

If n divided by m equals 7/8,
what does m divided by n equal?

Answers

Step-by-step explanation:

1,

It is found that m divided by n is equal  to 8/7.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  a/ b = a divided in b equal parts.

If n divided by m equals 7/8, then m divided by n equal.

n / m = 7/8

Then m/n = 8/7

Therefore,  m divided by n is equal  to 8/7.

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Triangles ABC and DBC have the following characteristics:



BC is a side of both triangles

∠ACB and ∠DCB are right angles

AC ≅ DC

Which congruence theorem can be used to prove △ABC ≅ △DBC?

AAS
SSS
HL
SAS

Answers

I think it wil be SSS or HL theorem

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS

Answers

D.e.a.c.b hope this helps


Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:

Answers

Answer:

A rate of 5/2 means that:

If we move 2 units to the right, we move 5 units up.

Let's see all the graphs, the easier way to know this is:

In any point of the line, move to the right 2 units.

Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.

A) The slope is 5/2.

B) The slope is 4/2

C) the slope is 5/2

I can not see very well graphs E and D in the image.

E) may have a slope of 5/2, you should measure it.

D has not a slope of 5/2,  you can compare it with A and see that is totally different, so you can discard option D.

Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).

Step-by-step explanation:

Given information:

Line A,B,C,D and E having different slopes;

Now as we know that equation of the line is:

[tex]y=mx+c[/tex]

where, m is the slope of the line

Now, Also [tex]dy/dx=m[/tex]

Hence, the slope of the line can also be calculated according to that.

Now, as given in the graph:

Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]

Hence slope of line A

[tex]dy/dx(A)=5/2[/tex]

Similarly:

Line B is having slope of (4/2)

Line C is having slope of (5/2)

Line D is not having slope of (5/2)

And Line E may have the slope of (5/2).

For more information visit:

https://brainly.com/question/14914699?referrer=searchResults

Someone please help me!!!

Answers

i believe that is the answer

how to do this question plz ​

Answers

Answer:

[tex]A = 50cm {}^{2} [/tex]

Step-by-step explanation:

[tex]let \: the \: two \: sides \: be : \\ p = 10 \: cm \\ q = x \: cm \: (yet \: unknown) \\ then \: the \: area,\: \boxed{A} \: is \: given \: by : \\ A = \frac{1}{2} pq = \frac{1}{2} 10 \times q. \\ so \: lets \: find \: q : \\ if \: we \: bisect \: the \: rhombus, \: then \: applying \: the \: laws \: of \: sum \: of \: angles : \\ 180 - (80 + 50) = 50. \\ applying \: the \: sin \: rule : \\ \frac{ \sin(50) }{10} = \frac{ \sin(50) }{q} \\ \\ q \sin(50 ) = 10 \sin(50) \\ q = \frac{10 \sin(50) }{ \sin(50) } \\ q = 10. \\ ......wait....what {?} \: all \: of \: this \: to \: just \: to \\ \: know \: that \: q = 10. \\ so \: \\ A = \frac{1}{2} pq = \frac{1}{2} \times 10 \times 10 \\ A = 50cm {}^{2} [/tex]

♨Rage♨

Two television stations are running the same advertisement. One television stations runs the advertisement eveey 24 minutes and the other television station runs the advertisement every 18 minutes. Both stations have the advertisement on right now. How many minutes until both stations will have the advertisement on again at the same time?

Answers

Answer:

72 minutes

Step-by-step explanation:

Given that:

Advert runs on :

Station 1 : every 24 minutes

Station 2 : every 18 minutes

Both have the advert running presently ; How many minutes until both stations will have the advertisement on again at the same time?

To obtain the time the advert will run again at the same time on both stations, we find the Lowest common factor of 24 and 18

_2__24 ____18

_2__12_____9

_2__6_____ 9

_3__3 _____9

_3__1_____ 3

____1_____1

2 * 2 * 2 * 3 * 3 = 72

After 72 minutes

nearest integer of 26

Answers

Answer:

An integer is a whole number, no decimals or fractions, and since 26 is already a integer, it can be 25, 26, or 27

Step-by-step explanation:

Answer:its 30  if you have to round it to the nearest tenth

Step-by-step explanation:

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