aniel is 16 years old. His age is twice his brother's age, which is represented by x. Write and solve an equation to determine the age of Daniel's brother. we

K= = 5r -s

subtract s from both sides

K + s = 5r

divide 5 from both sides

r = K + s / 5

r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex

given [\frac{4}{3}[/tex]πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = [tex]\frac{3V}{4\pi }[/tex] ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]

The object of any equation with a variable (whether it is on one side or both) is to isolate the variable.  We do this by moving all of the x's to one side of the equation and everything else to the other side.

For example:

3x - 5 = 2x + 1

-2x         -2x    

 x  - 5 =         1

    +5           +5

x         =         6

Now, there are 3 different types of solutions:

1) x = ____  there is one solution

2) 0 = 0   or some other TRUE statement  there are infinite solutions because every value for x is a solution

3) 0 = 1   or some other FALSE statement  there are no solutions because no value for x will provide a solution

HOPE THIS HELPED!

It's A. if a = b, then a^2 = b^2

Answer:

Corresponding angle theorem, vertical angle theorem, and the transitive property of congruence.

Step-by-step explanation:

Considering a set of parallel lines cut by a transversal. (Refer the attached image).

Now that lines J and K are parallel, then by "corresponding angle theorem"

[tex]\angle 1=\angle 5[/tex]

By "vertical angle theorem"

[tex]\angle 5 = \angle 7[/tex]

Using, "transitive property of congruence"

[tex]\angle 1 = \angle 7[/tex]

And that is our required proof. In this whole proof we have used "corresponding angle theorem", "vertical angle theorem", and the "transitive property of congruence".

Angles between a transversal line and parallel lines are congruent based on vertical angle theorem, corresponding angles and transitive property.

I will use the attached figure to explain the congruence of the angles.

Corresponding Angles Theorem

From the attached figure, the following angles are congruent based on corresponding angle theorem

[tex]\angle 2 = \angle 6[/tex]            

[tex]\angle 1 = \angle 5[/tex]

[tex]\angle 4 = \angle 8[/tex]

[tex]\angle 3 = \angle 7[/tex]

Vertical Angle Theorem

From the attached figure, the following angles are congruent based on vertical angle theorems

[tex]\angle 2 = \angle 3[/tex]            

[tex]\angle 1 = \angle 4[/tex]

[tex]\angle 5 = \angle 8[/tex]

[tex]\angle 6 = \angle 7[/tex]

Transitive Property

From the attached figure, the following angles are congruent based on transitive property

[tex]\angle 1 = \angle 7[/tex]

[tex]\angle 4 = \angle 6[/tex]

[tex]\angle 5 = \angle 3[/tex]            

[tex]\angle 2 = \angle 8[/tex]

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Answer:

C.

Step-by-step explanation:

all you do is go look and see which one is in the exact same spot

C

ΔABC and ΔGHI are congruent by SAS

AB = GI , the included angles ∠B = ∠I and BC = HI

Answer:

C) (x – 2)(x + 2)(x² + 4)(x⁴ + 16)

Step-by-step explanation:

The difference of squares is factored like this:

... a² - b² = (a - b)(a + b)

The given expression is the difference of squares:

... (x⁴)² - (2⁴)²

so can be factored as ...

... (x⁴ - 2⁴)(x⁴ + 2⁴) . . . . . . . 2⁴=16

Once again, the difference term is the difference of squares, so it can be factored as ...

...  x⁴ - 2⁴ = (x² -2²)(x² + 2²) . . . . . . 2²=4

And the difference in the first factor is also the difference of squares and can be factored.

... x² -2² = (x - 2)(x + 2)

Putting each factorization in its place in the whole expression, we get

... x⁸ - 256 = (x - 2)(x + 2)(x² +4)(x⁴ +16)

d+6/-2=5

d-3=5

d=8

hope it helps

The answer to your question is,

D) 1,032

-Mabel <3

Option D. 1,032 , would be correct.

Here we can use key words to help us realize, if we are adding, subtracting, multiplying or dividing.

In this case, we know we will be dividing or multiplying because of the word ¨each¨. It might be division, but in the last sentence it asks ¨how many total¨ so we know it will be multiplication.

Therefore...

24 × 43 = 1,032

There are 1,032 total players in the league.

54900 not very hard just do 610 by 90

Hello there!

This question is so easy to me.

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the numbers.

[tex]612*87=53244[/tex]

[tex]=53244[/tex]

Answer⇒⇒⇒53244

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

A total of 812 tickets were sold for the school play. 375 adult tickets were sold.

Let's assume the number of adult tickets sold is "A" and the number of student tickets sold is "S."

We are given two pieces of information:

The total number of tickets sold is 812:

A + S = 812

There were 62 more student tickets sold than adult tickets:

S = A + 62

Now, we can set up a system of equations to represent the given information:

A + S = 812

S = A + 62

Now, we can solve the system of equations to find the values of A and S.

Substitute equation (2) into equation (1):

A + (A + 62) = 812

Combine like terms:

2A + 62 = 812

Subtract 62 from both sides:

2A = 812 - 62

2A = 750

Now, divide by 2 to solve for A:

A = 750 / 2

A = 375

So, 375 adult tickets were sold.

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Final answer:

375 adult tickets were sold.

Explanation:

Let's denote the number of adult tickets sold as x. According to the information provided, there were 62 more student tickets sold than adult tickets. So, the number of student tickets sold can be represented as x + 62.

Since a total of 812 tickets were sold, we can write the equation x + (x + 62) = 812. This equation represents the sum of adult tickets and student tickets being equal to the total tickets sold.

Solving this equation, we have 2x + 62 = 812. Subtracting 62 from both sides, we get 2x = 750. Then, dividing both sides by 2, we find that x = 375. Therefore, 375 adult tickets were sold.

5/15 because there are 5 blue marbles and 15 marbles all together.

Games*80% = 4

g*.8 = 4

g = 4/.8

games = 5

5 games played

Answer:

5

Step-by-step explanation:

To find the perimeter of the triangle, add the lengths of all three sides. Use the Law of Sines to calculate the lengths of the other two sides. To find the area, use the formula: Area = (1/2) * AB * AC * sin(C)

To find the perimeter of the triangle ABC, we need to add the lengths of all three sides. Given that AB = 8, we can calculate the length of the other two sides using the Law of Sines. Since m∠A = 60° and m∠C = 45°, we have:

AC/sin(60°) = AB/sin(m∠C)

AC/sin(60°) = 8/sin(45°)

Solving for AC, we find that AC is approximately 9.66. Similarly, we can find BC using:

BC/sin(∠C) = AB/sin(∠A)

BC/sin(45°) = 8/sin(60°)

Solving for BC, we find that BC is approximately 8.62. Therefore, the perimeter of triangle ABC is:
8 + 9.66 + 8.62 = 26.28

To find the area of the triangle, we can use the formula:
Area = (1/2) * AB * AC * sin(∠C)

Area = (1/2) * 8 * 9.66 * sin(45°)

Calculating this, we find that the area of triangle ABC is approximately 30.36 square units.

First you would take 35% of 40:

.35 * 40 = 14

That's how many skittles ARE RED. Now, subtract 14 from 40:

40 - 14 = 26

Hope this helps!

I'm pretty sure 4/10=40/100

Here is the equation:

[tex]\frac{3}{10} = \frac{30}{100} \rightarrow \frac{4}{10}  =\frac{x}{100}[/tex]

To find the missing number, you have to cross multiply. Here's the equation:

[tex]\frac{4}{10} = \frac{x}{100} \\ \\ 100 \times 4 = 10x[/tex]

Multiply:

[tex]100 \times 4 = 400 \\ 400 = 10x[/tex]

To leave the variable x alone, you need to divide both sides by 10

[tex]\frac{400}{10} = \frac{10x}{10}[/tex]

Divide:

[tex]400 \div 10 = 40 \\ x = 40[/tex]

Your answer is 40

If you have any questions, feel free to ask in the comments! :)

Answer:

3 3/5

Step-by-step explanation:

Well then you need to use inverse operations. SO......

Since it is addition you do subtraction.

-18 - 12

-18 + -12

-30      SOOOOO.......

-30 + 12 = -18

-18 = -18

M = -30

answer:  [tex]m = -1.2[/tex]

work:

[tex]5m + 12 = -18[/tex]  | subtract the 12 over to the -18, and solve.

[tex]5m = -6 [/tex]  | divide by 5m on both sides, and solve.

[tex]m = -1.2[/tex]  | final answer.

hope this helps! ❤ from peachimin

The mean of the remaining four numbers is 4.

To find the mean of the remaining four numbers, we need to first find the sum of all six numbers.

The mean of six numbers is given as 4.5. So, the sum of all six numbers is [tex]\(4.5 \times 6 = 27\)[/tex].

Now, we know that the mean of two of the numbers is 5.5. So, the sum of these two numbers is [tex]\(5.5 \times 2 = 11\)[/tex].

To find the sum of the remaining four numbers, we subtract the sum of the two numbers with a mean of 5.5 from the sum of all six numbers:

27 - 11 = 16

Now, since the mean is the sum of all numbers divided by the count of numbers, the mean of the remaining four numbers is [tex]\( \frac{16}{4} = 4 \)[/tex].

Therefore, the mean of the remaining four numbers is 4.

Answer:

The answer is probably 4.

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The given table represents a linear function.

If a linear is graphed by a line and the line passes through two points (x, y) and (x', y'), slope of the line is calculated by the formula

Slope = [tex]\frac{y-y'}{x-x'}[/tex]

Since line passes through two points (-2, -2) and (-1, 1)

Therefore, slope = [tex]\frac{1+2}{-1+2}[/tex]

                            = [tex]\frac{3}{1}[/tex]

                            = 3

Slope of the line will be 3.

Option C. is the answer.

A property manager charges = $59.

Rent is = 8% of rent.

Let us assume rent is = $ r per month.

Therefore, 8% of r would be 0.08 r.

Now, the total monthly fees charged by the property manager = Fix charge + 8% of rent.

Let us take total montly charge by T.

Therefore, we can setup an equation:

T = 59 + 0.08r.

Therefore, T = 59 + 0.08r is the equation to represent the total monthly fees charged by the property manager.

The total monthly fees formula is F = 59 + 0.08R. If Jack pays $165 per month, the rent is $1,325. With a rent increase to $1,495, the fees increase by $13.60 per month.

a) Equation for Total Monthly Fees

The total monthly fees charged by the property manager can be represented by the equation:

F = 59 + 0.08R

where F is the total monthly fee and R is the monthly rent.

b) Calculating Monthly Rent

If Jack pays the property manager $165 each month, we can set up the equation from part (a) and solve for R:

165 = 59 + 0.08R

First, subtract 59 from both sides:

106 = 0.08R

Next, divide by 0.08

R = 1325

Therefore, the monthly rent on Jack's property is $1,325.

c) Increased Fee with Higher Rent

If Jack raises the rent to $1,495, we need to find the new monthly fee and calculate the increase:

Total fee at $1,495 rent:

F = 59 + 0.08 × 1495

F = 59 + 119.6

F = 178.6

Previously, Jack was paying $165, so the increase in fee is:

178.6 - 165 = 13.6

Jack will pay $13.60 more each month to the property manager.

Complete Question:- To manage a rental property, a property manager charges $59 per month plus 8% of the rent.

a) write an equation to represent the total monthly fees charged by the property manager.

b) if jack pays the property manager $165 each month, what is the monthly rent on his property?

c) if jack raises the rent on the house to $1,495, how much more will he pay the property manager each month?

5(1.50)+5(2.50)+2n

or

7.5+12.5+2n

20+2n= Cost

The algebraic expression for the cost of Ms. Thomas's order is:

$2n + $20

Ms. Thomas ordered 5 pencil packs, n notebooks, and 5 sets of markers. We are asked to write an algebraic expression that represents the cost of Ms. Thomas's order. The cost of each item is given as follows:

Pencil pack: $1.50

Notebook: $2

Markers: $2.50

To write an algebraic expression for the cost of Ms. Thomas's order, we need to multiply the cost of each item by the number of items ordered, and then add the products together.

The cost of 5 pencil packs is 5 x $1.50 = $7.50.

The cost of n notebooks is n x $2 = $2n.

The cost of 5 sets of markers is 5 x $2.50 = $12.50.

Therefore, the algebraic expression for the cost of Ms. Thomas's order is:

$7.50 + $2n + $12.50

Simplifying this expression, we get:

$2n + $20

Therefore, the algebraic expression for the cost of Ms. Thomas's order is $2n + $20

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Assuming it's [tex]\sqrt{x^{14}}[/tex]

[tex]\sqrt{x^{14}}=\sqrt{(x^7)^2}=|x^7|[/tex]

Let's assume

It started in 2000

so, t=0 in 2000

[tex]P_0=6.4million[/tex]

we can use formula

[tex]P(t)=P_0 e^{rt}[/tex]

we can plug value

[tex]P(t)=6.4 e^{rt}[/tex]

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

so, at t=2005-2000=5

P(t)=7.3 million

we can plug value and then we can solve for r

[tex]7.3=6.4 e^{r*5}[/tex]

[tex]r=0.02632[/tex]

now, we can plug back

[tex]P(t)=6.4 e^{0.02632t}[/tex]

now, we have

P(t)=1 billion =1000 million

so, we can set it and then we can solve for t

[tex]1000=6.4 e^{0.02632t}[/tex]

[tex]t=191.924[/tex]

approximately

[tex]t=192[/tex]

Year is 2000+192

year is 2192................Answer

[tex]c^2-4=0\qquad|+4\\\\c^2=4\to c=\pm\sqrt4\\\\c=-2\ \vee\ c=2[/tex]

First, divide 1200 by 4 to find out how many pounds they make per hour. The answer is 300. Then, multiply 300 by 10 to find out how many chips they would make in 10 hours. The answer is 3,000 pounds of chips.

The factory will make 3000 pounds of potato chips in 10 hours.

To find out how many pounds of potato chips will be made in 10 hours, we can set up a proportion using the given information. The rate of making potato chips is 1200 pounds in 4 hours. Let's label the unknown as 'x'. The proportion would be:

1200 pounds / 4 hours = x pounds / 10 hours.

To solve for 'x', we can cross multiply and then divide:

1200 pounds * 10 hours = 4 hours * x pounds;

Now divide both sides of the equation by 4 to isolate 'x':

x = (1200 pounds * 10 hours) / 4 hours = 3000 pounds.

Therefore, the factory will make 3000 pounds of potato chips in 10 hours.

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