Using the number lines shown, what is the equivalent fraction to 3/3

Answer: They are inverses of each other

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Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

[tex]h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\[/tex]

and,

[tex]f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\[/tex]

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

Answer:

5.2%

Step-by-step explanation:

Volume of cylinder= πr²h

In Container A,

D= 18ft, r=18/2=9ft, h=15ft

volume= 22/7 × 9² × 15

= 26730/7 cubic ft.

In Container B,

D=16ft, r= 16/2=8ft, h=18ft

volume= 22/7 × 8² × 18

= 25344/7 cubic ft.

percent of amount of water left in Container A= percent of container A that is full after pumping

Amount of water left in Container A,

26730/7 - 25344/7 = 1386/7

Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100

(1386×7×100)/(7×26730)= 5.185

To the nearest tenth= 5.2%

Answer:

Step-by-step explanation:

We have no idea what time zone you are in so hope this gets there soon enough.

Do you mean "What fraction of a FULL spool of yarn did he use?" because he used 5/6 of the spool he had.

IF SO

Then

(5/7)(5/6) = 25/42

That's just under 60% of a full spool would be used to complete the same project again.

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

Answer:

The difference between their total amounts is .34 cents

also it didnt look like i was supposed to count a discount for charles so i didnt :)

Step-by-step explanation:

14.99 times .07 = 1.04

14.99 + 1.04 = 16.03

17.99 times .15 = 2.69

17.99 -2.69 = 15.30

15.30 times .7 = 1.07

15.30 + 1.07 = 16.37

16.37 - 16.03 = .34

Answer:

the second option.

a policy that pays to get your vehicle replaced or repaired incase of an accident.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A(1.00) + S(0.50) = 500

A + S = 900

S = 900 - A

A(1.00) + (900 - A)(0.50) = 500

              A + 450 - 0.5A = 500

                               0.5A = 50

                                    A = 100 adults

                                     S = 900 - 100

                                     S = 800 students

No. of students tickets sold is 800 and no. of adult tickets sold is 100.

A linear equation has highest degree of 1 and it contains two variables generally x and y.

According to the given question At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500.

Assuming no. of students to be x and no. of adults to be y.

∴ x + y = 900...(i)

And

0.5x + y = 500...(ii)

Subtracting eqn (i) and (ii) we get

0.5x = 400

x = 800.

So, 800 + y = 900

y = 100.

Therefore how many tickets are sold is same as the no. of students and adults which are 800 and 100 respectively.

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

Answer:

The correct answer is option B: (-1, -1).

Step-by-step explanation:

The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.

Upon addition, we get:

9y = -9

If we solve the equation by dividing both sides by 9, we get:

y = -1

To find the x value, we can substitute this value back into either of our original equations.

6x + 4y = -10

6x - 4 = -10

To solve for x, we should isolate the variable, or get it alone on one side of the equation.

6x = -6

x = -1

Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.

Answer:

25

Step-by-step explanation:

10 + (b - a) · 5

10 + (7 - 4) · 5

10 + 3 · 5

10 + 15 = 25

Answer:

25

Step-by-step explanation:

If a = 4 and b = 7

First you gotta plug it in, so it'd become 10+(7-4)×5

Next we gotta use PEMDAS. So it would be 7-4 which would be 3, multiply that by 5 which would make 15, then add 10 for 25.

Check the picture below.

Answer:

i believe it would be likely

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

18000

Step-by-step explanation:

The number of meters in 18 kilometers is 18,000 meters(m)

x meters = 18 kilometers

x meters = 18 kilometers × 1000

x = 18,000 meters

Therefore, 18 kilometers is equivalent to 18,000 meters

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Answer:

hmmm

Step-by-step explanation:

hmmm

Check the picture below.

Explanation:

Each person is x years old. Adding those unknown ages gets us x+x = 2x

We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

Answer:

5

Step-by-step explanation:

let positive integer be x

x² + 3(x+1)=43

x²+3x+3-43=0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x+8) - 5(x+8)=0

(x-5)(x+8)=0

x-5=0 or x+8=0

x=5. or x=-8

but the question says positive integer,

therefore, x=5

Answer:

850 divided by 7.5

Step-by-step explanation:

[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]

Answer:

2

Step-by-step explanation:

Write out all the factors for 14

Then write out the multiples of 7

Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples

Answer:

..2

Step-by-step explanation:

The number of different dog families that you can create will be 3060.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.

Then the number of different dog families that you can create is given as,

¹⁸C₄ = (18!) / [(18 - 4)! x 4!]

¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)

¹⁸C₄ = 6 x 17 x 2 x 15

¹⁸C₄ = 3060

The number of different dog families that you can create will be 3060.

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Answer:

n-7=2

Step-by-step explanation:

We can start with one side, which is: seven less than a number

Since the number is n, seven less than it is n-7

The other side 2, as we can see after the word is

The equation, therefore, is

n-7=2

An increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

The cost of goods ( example, food) is directly affected by the amount of inventory at the end of an account period.

If the ending Inventory increases and everything else remains the same, the cost of goods sold is calculated as follows;

cost of food sold = Benning inventory  +  purchases  - ending inventory

From the equation above, an increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

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Answer:

Fred save about 3.15$ because is 20% off

Answer:

2x²+2x+8

Step-by-step explanation:

4x²-2x+10-2x²+4x-2

=4x²-2x²-2x+4x+10-2

=2x²+2x+8

Answer:

1 2 3 4 = 123.23

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because

Answer:

Step-by-step explanation:

it’s a