easy one for you folks. show work.
who ate more?​

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

This deals with negative exponents.

[tex]x^{-2}=\frac{1}{x^2}[/tex]

27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.

9 is easy, thats just:

[tex]9=3\times3=3^2[/tex]

1/27 is a little more difficult. Start with 27:

[tex]27=9\times3=3\times3\times3=3^3[/tex]

and because its a 1/27, that exponent has to be negative.

[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]

Now we can get both of them to base 3, so do that in the given equation:

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]

Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]

Finally, solve for x:

[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]

Answer:

49 square metres

Step-by-step explanation:

The area of a square is the length of the side times itself.

The area is 7 x 7 = 49

Answer:

$4.5 for one taco

Step-by-step explanation:

18 divided by 4

The division is a process of splitting a specific amount into equal parts.

The equation to find the cost of each taco truck is 4x = 18.

The cost of each taco truck is $4.5.

The division is a process of splitting a specific amount into equal parts.

Example:

5 apples cost $60.

Cost of each apple = 60/5 = $12.

We have,

Total amount spend = $18

Number of taco trucks where $18 was spent = 4

Let the cost of each taco truck = x

The equation to find the cost of each taco truck can be written as:

4x = 18

We need to find x.

x = 18/4

x = $4.5

Thus the cost of each taco truck is $4.5.

Learn more about division here:

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Answer: helloooo

Step-by-step explanation:

Television = $200 and Video Recorder = $450

sory if im wrong this is just what I think

Answer:

6x

Step-by-step explanation:

8x-2x

Answer:

The amount of tax is £178.34, and the full total is £1142.34.

Step-by-step explanation:

Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.

The amount of tax that is added to the cost of the computer is

£178.34.

A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.

Assume the amount of tax that is added to the cost of the computer is

£{x}. Then, we can write the equation as -

{x} = 18.5% of 964

{x} = (18.5/100) x 964

{x} = 178.34

Therefore, the amount of tax that is added to the cost of the computer is

£178.34.

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Answer:

1.27? :v

Step-by-step explanation:

porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )

x = 1 ± [tex]\sqrt{89}[/tex]

Answer:

The answer is 8

x=3

4^3/2^3=8

open circle on 7 shaded to the right

The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.

There are 4 different points of concurrency in the triangle are:

1. Circumcenter

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

For an obtuse-angled triangle, the circumcenter lies outside the triangle.

For a right-angled triangle, the circumcenter lies at the hypotenuse.

2. Incenter

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

3. Centroid

The point where three medians of the triangle meet is known as the centroid.

4. Orthocenter

The point where three altitudes of the triangle meet is known as the orthocenter.

For an obtuse-angled triangle, the orthocenter lies outside the triangle.

According to the question

The point of concurrency in a right triangle is also the midpoint of the hypotenuse.

According to the Triangle Concurrency Points

For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.

Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

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Answer:

A

i will go with a. hope to help u

Answer:

Option D is correct

Step-by-step explanation:

First, let's find side BC by using Pythagoras theorem.

Given:

=> 9² = 7.8² + x²

=> 81 = 60.84 + BC²

=> BC² = 20.16

=> √BC² = √20.16

=> BC = √20.16

=> BC = 4.48998886413 (Using calculator)

=> BC ≈ 4.49 (Estimated)

Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.

=> 1/2(Perimeter) = S

=> Perimeter: Hypotenuse + Side 1 + Side 2

=> 7.8 + 9 + 4.49

=> 21.29 = Perimeter

=> 1/2(21.29) = S

=> 10.645 = S

=> √s(s - a)(s - b)(s - c) = Area of triangle

=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)

=> √10.645(1.645)(6.155)(2.845)

=> √10.645 x 1.645 x 6.155 x 2.845

=> √306.635120999 (Using calculator)

=> √306.64 (Estimated)

=> 17.5111393119 (Using Calculator)

=> 17.51 units² (Estimated)

We can see that option D is the closest option. Therefore, Option D is correct.

If Option D was incorrect, then my second opinion is A.

If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.

Answer:

answer is d) 18.6

Step-by-step explanation:

area = 1/2ab sin ∅

a= 9

b = 7.8

so it's

1/2 ×7.8 × 9 sin 32

use your calculator to get 18.600 unit squared

*we can also use the heroes formula*...

Answer: 5 inches per hour or 2.5 inches per half an hour

Step-by-step explanation:

Amount of Time Passed: 2 hours 30 minutes

Difference in Candle Height: 12.5 inches

12.5 / 2.5 = 5 inches

5 inches per hour or 2.5 inches per half an hour

If it is incorrect, please let me know.

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

Answer:

17 quarters and 4 dimes

Step-by-step explanation:

17 · 0.25 = 4.25

4 · 0.10 = 0.40

4.25 + 0.40 = 4.65

I hope this helps!

Answer:

x = 12

Step-by-step explanation:

The measures of ∠XYW and ∠WYZ would equal m∠XYZ.

[tex]3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}[/tex]

Hope this helps.

Answer:

D

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

4x + 38 = 10x - 16

The sum of two opposite interior angles is equal to the opposite exterior angle.

4x + 38 = 10x - 16

38 = 10x -16 - 4x

38 = 6x - 16

38 + 16 = 6x

54 = 6x

Divide both sides by 6

x = 9

It has a positive slope.

when it starts at the bottom left like that and goes up it is positive. :)

- BRAINLIEST answerer

Hey there!

3^15/ 3^3

3^15

= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9*9*3

= 81*81*81*27

= 6,561 * 2,187

= 14,348,907

= 14,348,907/3^3

3^3

= 3*3*3

= 9*3

= 27

14,348,907/27

= 531,441

15 - 3 = 12

= 3^12

Because

3^12

= 3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9

= 81*81*81

= 6,561*81

= 531,441

531,441 ≈ 3^12

Therefore, your answer should be: 3^12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

Answer:

4x+ 6y^2

Step-by-step explanation:

Answer:

do u even still need the answer its been aweek since you asked it and it was due that same day

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Here is the graph!

Yes.

y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.

____

Hope it helps ⚜

[tex] \: \: \: \: \: \: [/tex]

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.