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Gia researches online that her car is worth $3,000. She hopes to sell it for 85% of that value, but she wants to get at least 70%. She ends up selling it for $1,800. Did she get what she wanted? (Give both equations and solutions. Then answer the question of did she get what she wanted)

Answer:

(2xy)⁴/x²y⁵

(4x)²/y

(4x)²y¯¹

Step-by-step explanation:

From the question given above, we obtained:

16x²/y

Thus, we can obtain the equivalent of the above expression as follow:

For Option 1:

(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹

(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹

Recall:

1/A¯¹ = A

Therefore,

16x⁴/x²y¯¹ = 16x⁴y/x²

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

16x⁴y/x² = 16x⁴¯²y = 16x²y

(2x)⁴/x²y¯¹ = 16x²y

Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y

For Option 2:

(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵

(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

16x⁴¯² y⁴¯⁵ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(2xy)⁴/x²y⁵ = 16x²/y

Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y

For Option 3:

(4x)²/y = 4²x²/y

(4x)²/y = 16x²/y

Thus, (4x)²/y is equivalent to 16x²/y

For Option 4:

(4x)²y¯¹ = 4²x²y¯¹

(4x)²y¯¹ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(4x)²y¯¹ = 16x²/y

Thus, (4x)²y¯¹ is equivalent to 16x²/y

For Option 5:

(4x/y)²

Recall:

(A/B)ⁿ = Aⁿ / Bⁿ

(4x/y)² = (4x)²/y²

(4x/y)² = 4²x²/y²

(4x/y)² = 16x²/y²

Thus, (4x/y)² is not equivalent to 16x²/y

SUMMARY:

(2x)⁴/x²y¯¹ is not equivalent to 16x²/y

(2xy)⁴/x²y⁵ is equivalent to 16x²/y

(4x)²/y is equivalent to 16x²/y

(4x)²y¯¹ is equivalent to 16x²/y

(4x/y)² is not equivalent to 16x²/y

Answer:

They started at 4:45 pm

Step-by-step explanation:

Time spend at the mall:

15 minutes in the shoe store

1 hour shopping for a dress

30 minutes eating

Total 1 hour 45 minutes

x + 1 hour 45 minutes = 6:30

Subtract 1 hours

5 : 30 pm

Subtract 45 minutes

4 :45 pm

They started at 4:45 pm

Answer:

4 and 4/10 is greater

Step-by-step explanation:

4 and 4/10 is (4*10+4)/10=44/10

44>32

Answer:

The answer is 6,240 yards

Step-by-step explanation:

If there is 48 each week thats basically 48×52 = 2496 which is how many dresses times how many yards per dress(2.5)I get 6240.

Hope this helps!!

Answer:

6240

Step-by-step explanation:

Amount of material it takes to make 1 dress = 2.5 yards

Amount of dresses Harley's Clothing Design will produce each week = 48 dresses

Number of weeks in 1 year = 52

2.5*48= 120

120 yards of material used in 48 dresses in one week.

120*52=6240

Therefore, the store will need to purchase 6240 yards of material in order to produce 48 dresses per week for 52 weeks, which is about 1 year.

Hope this helps!

Answer:

The train was travelling at 60 km/h

Step-by-step explanation:

We're already given time and distance, and speed is just distance/time, so:

240km / 4h

= (240/4) km/h

= 60km/h

Answer:

B.

Step-by-step explanation:

14 x 4 + 137 x 8 = $1,152

hope this helps

have a great day

and a Merry Christmas UwU

Answer:

I think it's 39 I'm wrong but that's what I think sorry

Answer:

1. 45

2. 9

3. 11

4. 17

Step-by-step explanation:

The computation is shown below:

Given  that

28 checked H

26 checked C

14 checked D

8 checked H and C

4 checked H and D

3 checked C and D

2 checked all.

Based on the above information

N(H)=28

N(C) 26

N(D) 14

N(H∪C) = 8

N(H∪D) = 4

[tex]N(C\cup D)=3[/tex]

[tex]N(H\cup C\cup D)=2[/tex]

We know that

[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]

= 28 + 26 + 14 - 8 - 4 - 3 + 2

= 55

1. The students who didnt check any kind of the box is

= 100 - 55

= 45

2) Students who checked exactly two boxes is

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 6

= 9

3) Students who checked a minimum of two boxes

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 4

= 11

4) Given N(C) = 26

Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club

= 26 - 8 - 3

= 15

Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize

= 15 + 2

= 17

.

.

Answer:

1)=0

2)

[tex] \frac{ \sqrt{3} }{?2} [/tex]

3)

[tex] \sqrt{3} [/tex]

4)

[tex]2 + \sqrt{3} [/tex]

5) I don't know that one.

Answer:

I think they left at 1:45 hope this helped!

Step-by-step explanation:

Answer:

$1.15

Step-by-step explanation:

You take 3.75 - 2.45 = 1.3 because the 2.45 is taking off the price of one cookie and than when you minus them you get the price of how much the cookie alone costed. then take 2.45 - 1.3 to get how much the milk costs.

85 dollars each week

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in function graphs if you would draw a line down what shape or line it can only touch it once.

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

Answer:

C. doesnt have a solution

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Answer:

[tex]\theta= 84[/tex]

Step-by-step explanation:

Given

[tex]\sin(\theta) = \cos(6)[/tex]

Required

Find [tex]\theta[/tex]

In trigonometry,

If [tex]\sin(\theta) = \cos(\alpha)[/tex], then

[tex]\theta + \alpha = 90[/tex]

So, in this case:

[tex]\theta + 6= 90[/tex]

Subtract 6 from both sides

[tex]\theta + 6-6= 90-6[/tex]

[tex]\theta= 90-6[/tex]

[tex]\theta= 84[/tex]

Hence, the value of [tex]\theta[/tex] is 84 degrees

Answer:

Answer:1,875

Step-by-step explanation:15,000 ÷ 8 = 1,875

Answer: I think it is 1200

Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is

Answer:

what question

Step-by-step explanation:

A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

Answer:

y=94x

Step-by-step:

If you have any trouble understanding how i got this please let me know and i will do another explanation.

Answer:

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Step-by-step explanation:

They volunteered to spend:

Number of hours for preparation = 120

Number of hours for packaging = 60

Number of hours to prepare ink drawing = 0.3

Number of hours to prepare water colour = 0.5

Number of hours it takes to package each card = 0.2

x = number of ink drawings

y = number rod water colour

The system of inequalities representing the situation above is given as:

Number of ink drawings x ≥ 0

Number of water colors ≥ 0

Number of preparation time: 0.3x + 0.5y ≤ 120

Number of packaging time: 0.2x + 0.2y ≤ 60

Option d is the correct option

Answer:

Bottom left choice

Step-by-step explanation:

SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.

Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.

I hope this helps! :)

Answer:

25 students

Step-by-step explanation:

.8x = 20

 x = 25 students

Answer:

An equilateral triangle is formed.

Step-by-step explanation:

Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.

Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].

Therefore, a triangle with all angles at 60° is an equilateral triangle.

Hope this helped!

9514 1404 393

Answer:

  top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

  [tex]\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]

Replace 360° with 2π radians.

  [tex]\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}[/tex]

Replace the angle ratio in degrees with the angle ratio in radians.

  [tex]\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r[/tex]

Simplify by cancelling

  [tex]\textit{Arc Length}=\theta r[/tex]