1. Desmond wants to sell his car that he paid $8,000 for 2 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 2-year period. If x represents the monthly depreciation amount, which expression shows how much Desmond can sell his car for today?

A.8,000 + 24x
B.8,000 − 24x
C.8,000 + 2x
D.8,000 − 2x

2. Avi and Sergi are saving money to buy a game system. Avi has $2 more than double the amount of money Sergi has. Together, they have $40. Write an equation to determine how much money Sergi and Avi have together.

A.x + 2x + 2 = 40
B.2x + 2 = 40
C.x + 2x − 2 = 40
D.2x − 2 = 40

Isabella solved the following equation:

4x − 2x + 8 = 6(x + 4)


Step Work Justification
1 4x − 2x + 8 = 6x + 24 Distributive Property
2 2x + 8 = 6x + 24 Combine like terms
3 −4x + 8 = 24 Addition Property of Equality
4 −4x = 16 Subtraction Property of Equality
5 x = −4 Division Property of Equality

Which step has an incorrect justification?
A.Step 1
B.Step 2
C.Step 3
D.Step 4

Answers

Answer 1

Answer:

1. C. 8000 - 24x; 2 A. x + 2x + 2 = 40; 3. C. Step 3

Step-by-step explanation

1. Desmond  

[tex]\begin{array}{rcl}\text{Value of car two years ago} & = & 8000\\\\\text{Less depreciation = 24 mo} \times\dfrac{x}{\text{1 mo}} & = & -24 x\\\\\text{Current value} & = & \mathbf{8000 - 24x}\\\end{array}[/tex]

2. Avi and Sergi  

[tex]\begin{array}{rcl}\text{Sergi's money} & = & x\\\text{Double Sergi's money} & = & 2x\\\text{Avi's money} & = & 2x + 2\\\text{Avi's money + Sergi's money} & = & x + 2x + 2\\\text{Avi's money + Sergi's money} & = & 40\\x + 2x + 2 & = & 40\\\end{array}[/tex]

3. Isabella  

[tex]\begin{array}{crl} \textbf{Step} & \textbf{Work} & \textbf{Justification} \\ & 4x - 2x + 8 = 6(x + 4) & \\ 1 & 4x - 2x + 8 = 6x + 24 & \text{Distributive Property} \\ 2 & 2x + 8 = 6x + 24 & \text{Combine like terms} \\ 3 & -4x + 8 = 24 & \textbf{Subtraction Property of Equality}\\ 4 & -4x = 16 & \text{Subtraction Property of Equality} \\ 5 & x = -4 & \text{Division Property of Equality} \\ \end{array}[/tex]

Step 3 has the incorrect justification. Isabella subtracted 6x from each side, so she should have used the Subtraction Property of Equality


Related Questions

PLZZZ HURRYYY!!Which graph best represents the solution to the system of equations shown below? y = -4x + 19 y = 2x + 1 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 7, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 3, 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 7, negative 3.

Answers

Answer:

Two lines are shown intersecting on ordered pair 3, 7.

Step-by-step explanation:

The first of the two lines has a slope of -4 and a y-intercept of 19 (off the top of the graph). It will decrease 4 units for each 1 unit to the right.

The second of the two lines has a slope of +2 and a y-intercept of +1. It will increase 2 units for each 1 unit to the right.

These two lines must intersect in the first quadrant at a point with an x-value less than 5, eliminating the first and last two choices, leaving only the second choice you have listed here.

You would have to examine the graphs to see which has the lines with proper slope and intercept.

My graphing calculator's solution is attached.

two lines are shown intersecting on ordered pair 3, 7.

Solve I = Prt for P when I = 5,480, r = .04, and t = 7.

Answers

Answer: P = 19,571.42857142857

Step-by-step explanation:

Plug in the variables.

5480 = x(.04)(7)

.04*7=.28

5480=.28x

.28x/.28=x

5480/.28=19,571.42857142857

19,571.42857142857(.04)(7)=5480

P = 19,571.42857142857

Answer:

19571.43

Step-by-step explanation:

We are asked to solve for P using formula [tex]I=Prt[/tex], when [tex]I=5480; r=0.04\text{ and }t=7[/tex].

Upon substituting our given values in simple interest formula, we will get:

[tex]5480=P*0.04*7[/tex]

[tex]5480=P*0.28[/tex]

Switch sides:

[tex]P*0.28=5480[/tex]

Now, we will divide both sides of our given equation by 0.28 as:

[tex]\frac{P*0.28}{0.28}=\frac{5480}{0.28}[/tex]

[tex]P=19571.42857[/tex]

[tex]P\approx 19571.43[/tex]

Therefore, the principal amount (P) is approximately 19571.43.

Help with this question, please ASAP!!

Answers

Answer:

the middle set of points

Step-by-step explanation:

A translation < 3, - 4 > means add 3 to the x- coordinate and subtract 4 from the y- coordinate.

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Hence

X(0, - 2) → X'(0 + 3, - 2 - 4) → X'(3, - 6) → X''(3, 6)

Y(1, 4) → Y'(1 + 3, 4 - 4) → Y'(4, 0) → Y''(4, 0)

Z(5, 3) → Z' (5 + 3, 3 - 4) → Z'(8, - 1) → Z''(8, 1 )

Hilda is putting new tile in an area of her home. Part of the space is rectangular with a length of 10 feet and a width of 6 feet, and part of the space is triangular with a base of
4 feet and a height of 2 feet.How many square feet of tile will Hilda need to cover the space?

Answers

Answer:

64 sq feet

Step-by-step explanation:

Given:

Rectangle Length = 10 feet

Rectangle Width = 6 feet

Triangle Base = 4 feet

Triangle Height = 2 feet

Area of rectangle = Length x Width = 10 x 6 = 60 sq feet

Area of triangle = [tex]\frac{1}{2}[/tex] x Base x Height = [tex]\frac{1}{2}[/tex] x 4 x 2 = 4 sq feet

Total area

= Area of Rectangle + Area of Triangle

= 60 + 4 = 64 sq feet

Answer:

64 ft^2

Step-by-step explanation:

The rectangular area is 10 ft by 6 ft, which comes to 60 ft².

The triangular area is A = (1/2)(base)(height) = (1/2)(4 ft)(2 ft) = 4 ft²  

The total area of tile will be 4 ft² + 60 ft², or 64 ft².

An auditorium has 100 seats for every 10 rows. Each row has the same number of seats. If s represents the number of seats and r represents the number of rows, which equation represents this proportional relationship? A. s = 10r B. C. 100s = r D. 100s = 10r

Answers

Answer: A

Step-by-step explanation:

S=10r

Answer:

A. s = 10r

Step-by-step explanation:

that's right on plato

question is in the picture, will mark brainliest

Answers

Answer:

B

Step-by-step explanation:

h(t)=-4.9t^2+ v_0t+h_0

v_0 represents initial velocity

h_0 represents initial height

we use -4.9 for the coefficient of t^2 because we dealing with meters and seconds

(If it was feet and seconds it would have been -16 instead of -4.9)

Anyways v_0 is 15m/s (We will just put 15 to make it look less complicated)

and from the ground means the initial height was h_0=0

So the answer is B.

A point is on a circle if the distance from the center of the circle to the point is equal to the 1.area.2.circumference.3.radius.4.diameter.

Answers

The best and most correct answer among the choices provided by the question is 3.) radius. Hope this helps :)

Answer:

3.radius.

Step-by-step explanation:

The area of a circle is the space enclosed by the circle.

The circumference is the total length of the circle when stretched.

The diameter is a line that divides the circle into 2 halves or semicircles.

The radius of a circle is the line drawn from the center of the circle to any part of the circumference or any point on the circle.

The right answer is 3.radius.

describe the translation y=x^2+5

Answers

Answer:

The transformation moves the graph of the function up 5 units

Step-by-step explanation:

If we have a function f(x) then the transformation

[tex]g (x) = f (x) + c[/tex]  vertically shifts the graph of f(x) c units

If [tex]c> 0[/tex] the graph moves c units up

If [tex]c <0[/tex] the graph moves c units down

In this case the main function is [tex]f (x) = x ^ 2[/tex]

and [tex]g (x) = f (x) + 5 = x ^ 2 +5[/tex]

Therefore the transformation moves the graph of the function up 5 units

ANSWER

[tex]y = {x}^{2} + 5[/tex]

EXPLANATION

The given function is

[tex]y = {x}^{2} + 5[/tex]

The base of this function is

[tex]f(x) = {x}^{2} [/tex]

The translation is of the form.

[tex]y = f(x) + k[/tex]

where k is a vertical translation k units up.

[tex]y = {x}^{2} + 5[/tex]

Therefore the translation is a shift up by 5 units.

While flying a kite, 400 ft of string was let out. The string ,when pulled tight, formed a 40 angle with the ground .What was the approximate height of the kite

Answers

Answer:

257 ft

Step-by-step explanation:

You know based upon soh that sin=opp/hyp

So drawing a right triangle with a hypotenuse of 400 ft and an angle of 40° with the ground, you can see that sin40=x/400

Multiply both sides to find your x value or height which is 257.

Assume a gas is at a constant temperature. If its initial pressure, final pressure, and initial volume are 150 kPa, 200 kPa, and 25 cm3, respectively, what is its final volume?

A.
20 cm3

B.
25 cm3

C.
33.33 cm3

D.
18.75 cm3

E.
22.5 cm3

Answers

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

we know that

The Boyle's law (Ideal gas law) states that Where temperature remains constant, the pressure is inversely proportional to volume.

so

[tex]P1 *V1 = P2 *V2[/tex]  

In this problem we have

P1=150 kPa

P2=200 kPa

V1=25 cm³

substitute and solve for V2

[tex](150)(25)= 200*V2[/tex]

[tex]V2=(150)(25)/200=18.75\ cm^{3}[/tex]    

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

MARK ME PLS

Emily, Jean, and Amanda live in apartments on the 5th, 6th, and 7th floors. One girl likes baseball, one likes football, and one likes soccer. The girl on the 6th floor is the football fan. The girl on the 5th floor thinks soccer is boring. What sport does the girl on the 7th floor like?

Answers

The girl on the 7th floor likes soccer

Answer:

  soccer

Step-by-step explanation:

Neither the 5th-floor nor 6-floor girl likes soccer, so that must be the sport of choice on the 7th floor.

Which system of equations is represented by the graph?

Answers

Answer:

C

Step-by-step explanation:

y=x is a line that has slope 1 meaning it go ups (increases) from left to right.

So that puts us at choice A or C.

Both A or C differ by the numerator for the other function.

We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.

Let's do that:

A:  -x-10=0                           C.  -x+10=0

     -x=10                                    -x=-10

      x=-10                                    x=10

A says x-intercept -10

C says x-intercept 10

Your graph intercepts the x-axis at 10 so the answer is C.

Option C was represented by the graph

Really need help on these. I have no idea what to do

Answers

Answer:

A

120

Step-by-step explanation:

With all the parallel lines involved, the central figure is a parallelogram.  These 4 sided figures have the odd property of having their opposite angles equal.

What that means, in plain English is that <NRL = <NML

Both of these angles = 120

Here's the cruncher. <NRL and <PRK are vertically opposite. They are therefore equal.

The answer to your question is 120 which is A

the answer is A good luck !

please help asap will mark brainliest

Answers

Answer:

The fraction is 7/10 and the decimal is 0.7

Step-by-step explanation:

Each incriment represents 1/10, or 0.1.

Answer:

Decimal: 0.7

Fraction: Simplified - 7/10 ; Non-simplified: 70/100

Step-by-step explanation:

There are 9 dashes in-between 0 & 1, meaning that each dash signifies 0.1, and that you are adding 0.1 each time.

The dot is located 7 dashes away from 0. Multiply 7 with 0.1

7 x 0.1 = 0.7

0.7 is your decimal answer.

Change the decimal to a fraction. To do so, move the decimal point to the right two place values and put it over 100. Add 0's if needed.

0.7 = 70/100

As it does not specify you have to simplify, put 70/100. HOWEVER, if it says you have to simplify, simplify. Divide common factors from both the numerator & denominator:

(70/100)/(10/10) = 7/10

7/10 is your simplified fraction. 70/100 is your non-simplified fraction.

~

What is the value of x in the following equation? –3x – 2 = 2x + 8
-10 -2 2 10

Answers

Answer:

-2

Step-by-step explanation:

-3x -2 = 2x +8

-2 = 5x +8 . . . . . . add 3x

-10 = 5x . . . . . . . . subtract 8

-2 = x . . . . . . . . . . divide by 5

Answer:

-2

Step-by-step explanation:

-3x-2=2x+8 subtract 2x to both sides

-5x-2=8 add 2 to both sides

-5x=10 divide by -5

answer is -2

BRAINLIEST! It would take 4 hours to fill an aquarium using water from 10 taps.
How many hours and minutes would it take if only 6 taps were used?

Please give an explanation of your answer!​

Answers

Answer:

6 hours and 40 minutes

Step-by-step explanation:

10 taps = 4 hours

( ÷ 10 )         ( × 10 )

1 taps = 40 hours

( × 6 )       ( ÷ 6 )

6 taps = 6.66666666667 hours / 400 minutes

Final answer:

To fill an aquarium initially using 10 taps in 4 hours, using 6 taps would take 6 hours and 40 minutes.

Explanation:

The time it takes to fill the aquarium initially can be calculated by:

Determine the rate of filling using all 10 taps: 1/4 of the aquarium per hour (as 4 hours to fill).

Calculate the rate using 6 taps: 6/10 of the original rate.

Divide the time taken initially (4 hours) by the reduced rate to find the new time.

Therefore, the time it would take to fill the aquarium using only 6 taps is 6.67 hours or 6 hours and 40 minutes.

PLS HELP BRAINLIEST WILL BE GIVEN :D

Answers

Answer:

56

Step-by-step explanation:

By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.

The probability of both being blue is 0.5 × 0.4 = 0.2.

So we would expect to get both blue 2/3 of the times we get both red.

X = 2/3 (84)

X = 56

What is 7.884 rounded to the nearest hundredth

Answers

-----------------------------

The Answer is 7.88

-----------------------------

Answer:

The answer here would be 7.88

Hope this helps!

Circle A has a radius with the length of 5 units. Calculate the exact length of the apothem, line segment AH . In your final answer, include your calculations.

Answers

Check the picture below.

A company has determined that it's weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, why, when the company sells X items?

Answers

Answer:

b

Step-by-step explanation:

Julia has saved 108 sand dollars and wants to give them away equally to x friends. Write an expression to show how many sand dollars each of Julia’s friends will receive. Then, find the total number of sand dollars each of Julia’s friends will get if Julia gives them to 12 friends.

Answers

Answer:

s = 108/x . . . . s = sand dollars each friend getseach of the 12 friends gets 9 sand dollars

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

I have two fair dice both numbered 1 to 6. I throw both dice and add both numbers together. What is the probability that the number I get a multiple of 5

Answers

Answer:7/36

Step-by-step explanation:

Firstly, I would draw a table to visually see what the outcomes are. There are many methods but this is what i find to be the easiest so here it goes!!!

I hope the pic helps! If you have any questions feel free to ask!

Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 2 /3 square foot in 1 /2 hour.

Answers

[tex]\bf \stackrel{\textit{rate}}{\cfrac{~~\frac{2}{3}~~}{\frac{1}{2}}\cfrac{ft^2}{hr}}\implies \cfrac{2}{3}\cdot \cfrac{2}{1}\implies \cfrac{4}{3}\implies 1\frac{1}{3}\frac{ft^2}{hr}[/tex]

2^x=3^x+1 what are the exact approximate solutions

Answers

Answer:

d.

Step-by-step explanation:

The goal of course is to solve for x.  Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions.  We have to get them out of that position.  The way we do that is by taking the natural log of both sides.  The power rule then says we can move the exponents down in front.

[tex]ln(2^x)=ln(3^{x+1})[/tex] becomes, after following the power rule:

x ln(2) = (x + 1) ln(3).  We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3).  The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3).  We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3.  The rule that "undoes" that division is the quotient rule backwards.  Before that was a subtraction problem it was a division, so we put it back that way and get:

[tex]x(\frac{ln(2)}{ln(3)})=ln(3)[/tex].  We can factor out the ln from the left to simplify a bit:

[tex]x[ln(\frac{2}{3})]=ln(3)[/tex].  Divide both sides by ln(2/3) to get the x all alone:

[tex]x=\frac{ln(3)}{ln(\frac{2}{3}) }[/tex]

On your calculator, you will find that this is approximately -2.709

I need some help. Please help me TYSM!!!

Answers

Answer:

D

Step-by-step explanation:

Don't be scared off by this problem. Just read the numbers.

Those A + = 264

Those RH- = 111

The total = 375

Total of everyone typed is 740

Probability = 375 / 740 = 0.50675

Probability = 0.507 to the nearest thousandth.

Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2.

Answers

-8 - 7 - 16 - 14 + 2 = -43

Answer:

Step-by-step explanation:

-8 - 7 - 16 - 14 + 2 = -43

You're insecure
Don't know what for
You're turning heads when you walk through the door
Don't need make-up, to cover up
Being the way that you are is enough
Everyone else in the room can see it
Everyone else but you
Baby you light up my world like nobody else
The way that you flip your hair gets me overwhelmed
But when you smile at the ground it ain't hard to tell
You don't know, oh oh
You don't know you're beautiful
If only you saw what I can see
You'll understand why I want you so desperately
Right now I'm looking at you and I can't believe
You don't know, oh oh
You don't know you're beautiful, oh oh
That's what makes you beautiful


Takes these points if you like this song

Answers

Answer:

: ) It be gud song.

Step-by-step explanation:

I freaking love this song.

In a study, the sample is chosen by putting people's names on a dartboard, and blindly throwing darts to select 5 names. what is the sampling method?

Answers

Answer:

Random Sampling

Step-by-step explanation:

Random sampling is when people are chose at random from a population.

Population is the chits that have been put up on the dart board.

Blindly throwing darts to select 5 names is selecting randomly. In this case, there will be no bias involved in it as names are chosen blindly.

!!

Answer: Random sampling method.

Step-by-step explanation:

A random sampling is a sampling technique in which a researcher randomly picks participants for the sample such that the chances for each participants to get selected is equal.

Given : In a study, the sample is chosen by putting people's names on a dartboard, and blindly throwing darts to select 5 names.

Here , the probability to throw dart on any any name is equal because they throwing it blindly.

Thus, this sampling method is a random sampling method.

Determine whether triangle TJD is congruent to triangle SEK 
given
T (-4,-2), J (0,5), D (1,-1), S (-1,3), E (3,10), K (4,4)
and explain the reason. 

Select one:

a. Yes, by SSS

b. No, by AAS

c. No, by ASA

d. Yes, by SAS

Answers

Answer:

I believe it is SSS

Step-by-step explanation:

because all the sides are exactly the same length

The expression 4x4x4, x gives the perimeter of a square with a side length of xxx units. What is the perimeter of a square with a side length of \dfrac57 7 5 ? start fraction, 5, divided by, 7, end fraction units?

Answers

Answer:

[tex]\dfrac{20}{7}\ \text{units}[/tex]

Step-by-step explanation:

Put the side length where x is, then do the arithmetic.

  P = 4x

  P = 4(5/7) = 20/7

The perimeter is 20/7 units.

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