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?

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.

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.

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

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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♨

Answer:

190.5 centimeters

Step-by-step explanation:

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

Answer:

x=2

Step-by-step explanation:

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).

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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.

Answer:

16

Step-by-step explanation:

Answer:

C. 8

Step-by-step explanation:

just did the quiz

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 :'(

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

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)

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

Answer:

10.3*9.2

the answer is 94.76

:)

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

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

Thank you ☺️☺️

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.

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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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:

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]

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

[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]

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.

Step-by-step explanation:

1,

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

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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