6x + 4 - 8x + 9(4 - x)
-

Answer:

[tex]x = -9[/tex]

Step-by-step explanation:

Given equation:

[tex]25^{2x+3} = 125^{2x+8}[/tex]

Convert 25 and 125 to base 5:

[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]

Apply exponent rule  [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]

If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:

[tex]\implies 2(2x+3) = 3(2x+8)[/tex]

Expand:

[tex]\implies 4x+6 = 6x+24[/tex]

Subtract 6x from both sides:

[tex]\implies -2x+6 = 24[/tex]

Subtract 6 from both sides:

[tex]\implies -2x=18[/tex]

Divide both sides by -2:

[tex]\implies x=-9[/tex]

Let's solve up

[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]

[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]

[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]

[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]

[tex]\\ \rm\rightarrowtail -18=2x[/tex]

[tex]\\ \rm\rightarrowtail x=-9[/tex]

Answer:

Proved below!

Step-by-step explanation:

Start by multiplying both sides by 2 (as said in the question):

[tex]\implies 4c + 10a = 388[/tex]

[tex]\implies 2(4c + 10a) = 2(388)[/tex]

[tex]\implies 8c + 20a = 776[/tex]

Substitute the solution(s) in the equation:

[tex]\implies 8(52) + 20(18) = 776[/tex]                                                                   (c = 52; a = 18)

[tex]\implies 416 + 360 = 776[/tex]

[tex]\implies \bold{776 = 776 \ \ \ (Proved)}[/tex]

Answer:

Let c = number of children's tickets sold

Let a = number of adults tickets sold

Given:

⇒ 4c + 10a = 388

Multiply both sides of the equation by 2:

⇒ 2(4c + 10a) = 2 × 388

⇒ 8c + 20a = 776

If c = 52 and a = 18, substitute these values into the equation and solve:

⇒ 8(52) + 20(18)

⇒ 416 + 260

⇒ 776

As 776 = 776, this proves that c = 52 and a = 18 is a solution to this equation.

Answer:

196

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

65

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

one of the angle is given as 50 degrees so:

50 + x + x = 180

50 + 2x = 180 subtract 50 from both sides

2x = 130 divide both sides by 2

x = 65

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

Answer:

should be 4L

Step-by-step explanation:

there is 4 cups with 1L of water in them so you add them up to get the total amount .

Answer:

4 Liters

Step-by-step explanation:

1. Create Equation

1L+1L+1L+1L

2. Solve

1L+1L+1L+1L

1+1+1+1

2+1+1

2+2

4

3. Check

1+1+1+1=4

2+2=4

4=4

Correct

4. Answer

4L

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

Answer:

[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]

Step-by-step explanation:

In order to solve this problem, all you have to do is multiply their expressions by their factors.

To begin, you must group these expressions.

[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]

After that, you factor.

Solve.

[tex]\sf{x^2-4=x(x-4)}[/tex]

-6x+24=-6(x-4)

Then rewrite the problem down.

x(x-4)-6(x-4)

Factor by the common term.

(x-4)(x-6)

Therefore, the final answer is (x-4)(x-6).

I hope this helps you! Let me know if my answer is wrong or not.

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

The correct statement regarding the function plotted in the graph is:

C) The maximum value of the quadratic function occurs at y = 4.

When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:

R = [8 - (-7)]/-5 - 0 = 15/-5 = -3

It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

Simple, Just divide 15.00 by 3.58 to get the answer of 4.19

Step-by-step explanation:

15.00 ÷ 3.58 = 4.19

IJKL is a rectangle, so opposite sides have the same length:

• IJ = KL   ⇒   6y - 6 = 2x + 20

• JK = IL   ⇒   3x + 21 = 6y

Substitute the second equation into the first and solve for x :

6y - 6 = 2x + 20

(3x + 21) - 6 = 2x + 20

3x + 15 = 2x + 20

x = 5

Solve for y :

3x + 21 = 6y

15 + 21 = 6y

36 = 6y

y = 6

Answer:

7/6

Step-by-step explanation:

in order to find the answer you have to -5/6 by 1/3 and then you get 7/6 so technically you have to minus it

The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.

And half a side length of the equilateral triangle is 6√3 units.

The apothem (x) is units long and the radius of the circle will be

x² = (9√3)² - (6√3)²

x² = 243 - 108

x² = 135

 x = 11.62

And the radius of the circle will be

[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]

Each segment of the circle has an area that will be

Area = the difference between the areas of the sector and triangle

Area = the areas of the sector - the areas of the triangle

The area of the sector will be

[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]

The area of the triangle will be

[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]

Then the area of each segment will be

Segment area = 48π − 23.25√3

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

1. 6

2. 12

3. 48

4. 36

Step-by-step explanation:

California  often  needs the following minimum insurance coverage:

The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.  

It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.

Learn more about minimum coverage from

https://brainly.com/question/4539405

Answer:

Step-by-step explanation:

The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.

The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.

__

You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.

If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

Answer:

1. 0

2. 34

3. 398

4. -350

5. 20

6. 200

7. 48

8. -1000

9. 150

10. -55

Step-by-step explanation:

-2 + 5 - 3

3 - 3 = 0

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

2 × 5(9 ÷ 3) + 4

2 × 5(3) + 4

2 × 15 + 4

30 + 4 = 34

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

4(25 × 8 ÷ 2) + 3 - 5

4(200 ÷ 2) + 3 - 5

4(100) + 3 - 5

400 + 3 - 5

403 - 5 = 398

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

-10 × 20 - 30(5)

-200 - 150 = -350

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

5 × 10 - 30

50 - 30 = 20

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

4(50 - 20 ÷ 4) + 20

4(50 - 5) + 20

4(45) + 20

180 + 20 = 200

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

3 × 4(20 ÷ 5)

3 × 4(4)

3 × 16 = 48

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

-20(50 × 2) + 5(200)

-20(100) + 1000

-2000 + 1000 = -1000

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

20(5) + 70 - 20

100 + 70 - 20

170 - 20 = 150

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

-5 + 10(-5)

-5 + -50 = -55

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

The only one I see wrong is "4(50 - 20 ÷ 4) + 20"

I hope this helps!

Answer:

50% discount

Step-by-step explanation:

Given the following question:

50% of 32

To find the answer we will use the formula to calculate percentages, and then solve by subtracting the answer from the initial cost of the sneakers.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{50\times32}{100}[/tex]
[tex]50\times32=1600[/tex]
[tex]1600\div100=16[/tex]
[tex]=16[/tex]

Or...

[tex]32\div2=16[/tex]
[tex]=16[/tex]

50% of 32 is 16 which means the shoes has a "50% discount."

Hope this helps.

Answer:

ang ganda noh

Step-by-step explanation:

sorry di ko po alam yung sagot

The equation 100 = 100 + y is an algebraic equation

The operation is subtraction property of equality, and the value of y is 0

The equation is given as:

100 = 100 + y

To solve for y, we apply the following operation

Operation: subtraction property of equality

So, we have:

100 - 100 = 100 - 100 + y

Evaluate the differences

0 = y

Rewrite as:

y = 0

Hence, the operation is subtraction property of equality, and the value of y is 0

Read more about algebraic equations at:

https://brainly.com/question/723406

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Find out more on transformation at: https://brainly.com/question/4057530

Answer:

Step-by-step explanation:

8-(x-2)=2x+(10-3x)

We move all terms to the left:

8-(x-2)-(2x+(10-3x))=0

We add all the numbers together, and all the variables

-(x-2)-(2x+(-3x+10))+8=0

We get rid of parentheses

-x-(2x+(-3x+10))+2+8=0

We calculate terms in parentheses: -(2x+(-3x+10)), so:

2x+(-3x+10)

We get rid of parentheses

2x-3x+10

We add all the numbers together, and all the variables

-1x+10

Back to the equation:

-(-1x+10)

We add all the numbers together, and all the variables

-1x-(-1x+10)+10=0

We get rid of parentheses

-1x+1x-10+10=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Step-by-step explanation:

3(21) + 4b = 200

63 + 4b = 200

4b = 200 - 63

4b = 137

b = 137/4

b = 34.25...so each bracelet (b) costs $ 34.25