the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimeters?

Answer:

The population of the town in 2013 is 47,677. (to the nearest whole number)

Step-by-step explanation:

To calculate this, we will compare the increase to the increase of the present value of an amount of money invested in 2001, increasing at an annual percentage rate of 2.8%, to yield the future value worth a certain amount in 2013. To calculate, the formula below is used:

FV = [tex]PV ( 1 + \frac{i}{n}) ^{n*t}[/tex]

where:

FV = Future Value = ???

PV = present value = 34,229

i = interest in decimal = 2.8% = 0.028

n = frequency of compounding period per year = 1

t = number of compounding years = 2001 to 2013 = 12 years.

FV = [tex]34,229(1+\frac{0.028}{1} )^{(1*12)}[/tex]

FV = 34,229 × (1.028)¹²

FV = 47,677.29 = 47,677 (to the nearest whole number)

Answer:

there is one zero: 5/16

Step-by-step explanation:

i used photomath

Answer:

8

Step-by-step explanation:

11-7=4

4x2=8

answer=8

He has 8 comic books before he sold any of his comic books.

Answer:

280 downloads

Step-by-step explanation:

-let x denote the number of standard version downloads.

-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x

-This can then be expressed as:

[tex]x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280[/tex]

Hence, the number of standard version downloads is 280

Answer:

The price of an adult's ticket is $18.5 and price of a child's ticket is $11.

Step-by-step explanation:

We are given the following in the question:

Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.

The cost of three adults and two children tickets is $77.50

Thus, we can write the equation:

[tex]3x + 2y = 77.50[/tex]

The cost of two adults and three children tickets is $70.00

Thus, we can write the equation:

[tex]2x+3y = 70[/tex]

Solving the two equations, we get

[tex]6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5[/tex]

Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.

Circle equation: (x + h)² + (y - k)² = r²

The center can be found by looking at (h, k) in the equation.

We are given the equation (x + 5)² + (y - 8)² = 1

The center is (h, k) so, it is (-5, 8)

Best of Luck!

Answer:

he center is (h, k) so, it is (-5, 8)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

x2 +4x-21=0. solve for x

[tex]x = \frac{7}{2} [/tex]

[tex]x = 3 \frac{1}{2} \ x = 3.5[/tex]

Answer:

a=12 ft, b=12 ft

Step-by-step explanation:

-Length A and length B are equal since the right angle triangle is also an isosceles triangle.

-We use the Law of sines to calculate the two lengths:

[tex]\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{12\sqrt{2}}{Sin\ 90\textdegree}\\\\a=b=12\sqrt{2} \ Sin \ 45\textdegree\\\\a=b=12\ ft[/tex]

Hence, length a is equal to length b which is equal to 12 ft

Answer:

x=10.85

Step-by-step explanation:

you add 85 and 31 equaling 116.

13x-21=116

    +21 =+21

13x=137

13x= 13x

x=10.85

Answer:

74

Step-by-step explanation:

37/50 * 100 = 74

Answer:

Step-by-step explanation:

Answer: Scaline?

Step-by-step explanation:

The triangle having sides 12, 15 and 10√3 is a Scalene type triangle.

Thus, the triangle having sides 12, 15, and 10√3 is a Scalene type triangle.

Learn more about Scalene Triangles here:

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Answer:

b

Step-by-step explanation: i just took the test and B. is the correct answer

Answer:

(B) 4/37 is correct

Step-by-step explanation:

I got it correct on edge

Answer:

Its -2.

Step-by-step explanation:

Answer:

A. -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

range is the possible y values

sin x and cos x parent graphs all have range from [-1, 1].

factors a, b, c, d affect the graph of asin(bx+c)+d

since a and b = 1 and c and d = 0, the range is default [-1,1]

Answer:

1. x=-3

2. m=4

3. -6=b

4. x=3

Step-by-step explanation:

1. 7(3-3x)=84 what is x

- Distribute the 7 using distributive property, which will give you 21-21x=84.

- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.

- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3

2. -7(-4-3m)=112 what is m

- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.

- Subtract 28 to both sides, which will give you 21m=84.

- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4

3.-182=7(2b-8)+7b what is b

- Distribute the 7 using distributive property, which will give you -182=14b-56+7b

- Add like terms to get -182=21b-56.

- Add both sides by 56, which will get you -126=21b.

- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b

4. -101 = -5(8x-5) -6 what is x

- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.

- Add like terms to get -101=-40x+19.

- Subtract both sides by 19 to get -120=-40x.

- Divide both sides by 40 (the coefficient of x) to get 3=x.

Hope this helps!

Answer:

Erik should have divided 14 2/3 by 2 3/4, but instead he multiplied causing him to have a greater answer than 5 and 1/3

(give brainliest please)

Answer:

7/24

Step-by-step explanation:

1/8  added to 1/6

means  1/8  plus  1/6

1/8  = 3/24,

1/6= 4/24

3/24 + 4/24 = 7/24

Answer:

7/24

Step-by-step explanation:

1/8+1/6

=(1*6)+(1*8)

------------------divide

      8*6

=14/48

14/2

--------

48/2

=7/24

im sorry the math is weird my key board is small on this computer and i can only do so much but i hope that this helps you and you can do good in online school and happy quarantine stay home if you can to stop the spread of corona and help open the world again:)

Answer:

995 general admission tickets and 260 reserved seat tickets

Step-by-step explanation:

We can solve this by using Simultaneous equations.

General admission is $4.00 and each Reserved seat is $4.50.

Let g represent the number of General admission tickets and r represent the number of Reserved seat tickets.

The total amount paid for 1255 tickets is $5150.00.

This means two things:

1. The total number of tickets is 1255, which means if we add the general admission tickets and the number of reserved seat tickets, we will get 1255:

g + r = 1255 ________________ (1)

2. The total price of all tickets is $5150.00, which means if we multiply the number of general admission tickets by the price of general admission tickets and we multiply the number of reserved seat tickets by the price of reserved seat tickets and add them up, we will get $5150:

(4.00*g) + (4.50*r) = 5150 _________(2)

=> g + r = 1255 __________________(1)

   (4.00*g) + (4.50*r) = 5150  _________(2)

From (1):

g = 1255 - r _______ (3)

Putting (3) in (2):

{4.00*(1255 - r)} + (4.50*r) = 5150

5020 - 4.00r + 4.50r = 5150

5020 + 0.50r = 5150

=> 0.50r = 5150 - 5020

0.50r = 130

r = 130 / 0.50 = 260

Putting the value of r in (3):

g = 1255 - 260 = 995

Hence, 995 general admission tickets and 260 reserved seat tickets were sold.

Final answer:

To find the number of general admission and reserved seat tickets sold, set up and solve a system of equations using the given information.

Explanation:

Given:

General admission tickets cost $4.00.

Reserved seat tickets cost $4.50.

Total receipts were $5150.00 for 1255 paid admissions.

To solve:

Let x be the number of general admission tickets sold.

Let y be the number of reserved seat tickets sold.

Form the equations: x + y = 1255 and 4x + 4.50y = 5150.

Solve the system of equations to find x and y.

Answer: 705 general admission tickets and 550 reserved seat tickets were sold.

The  type of transformation maps AQRS to AQ'R'S' is rotation.

The following information should be considered;

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Answer:

the answer is 10.25

Step-by-step explanation:

Answer:

the approximate value of the hypotenuse is 10.25 seconds

Step-by-step explanation:

The probability of Colin getting a 3 on a die and a tail on a coin simultaneously is 1/12, obtained by multiplying the individual probabilities (1/6 for the die and 1/2 for the coin).

The probability of obtaining a 3 when rolling a fair dice is 1/6, since a dice has 6 sides and only one of them is a 3. Similarly, the probability of obtaining a tail when flipping a fair coin is 1/2, because a coin has 2 sides, heads and tails.

The probability of both events happening (rolling a 3 and flipping a tail) is the multiplication of their individual probabilities. Hence, the probability is 1/6 times 1/2 equals 1/12.

So, the final simplified form of the probability of Colin rolling a 3 on a die and flipping a tail on a coin, according to the rules of probability, is 1/12.

To find the probability of rolling a 3 and flipping a tail, we need to determine the probability of rolling a 3 on the dice and the probability of flipping a tail on the coin, and then multiply these probabilities together. A fair dice has 6 equally likely outcomes, so the probability of rolling a 3 is 1/6. Similarly, a fair coin has 2 equally likely outcomes, so the probability of flipping a tail is 1/2. Multiplying these probabilities gives us (1/6) * (1/2) = 1/12. Therefore, the probability of obtaining a 3 and a tail is 1/12 in its simplest form.

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Answer:

[tex]\frac{ -b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

1) the equation listed above is the quadratic formula! you can solve ANY quadratic equation with it

quadratic equations in the form of:

ax^2+bx+c

just substitute a,b,and c for the numbers in the quadratic equation!

2)factoring:

my 2nd favorite method:

your equation will be in the form of:

ax^2+bx+c

where you need to find:

what*what=c

and

what+what=b

once you find those two things out then substitute those numbers in place of "b"

for example:

x^2+7x+10

factors of 10:  5,2  10,1   -2,-5   -10,-1

factors of 10 that=7

5,2

so

x^2+5x+2x+10

now group this equation:

group a) x^2+5x

group b) 2x+10

gcf of group a)  x

so

x(x+5)

group b) gcf:2

so

2(x+5)

combine the numbers outside the parantheses:

(x+2)(x+5)=0

x+2=0

x=-2

x+5=0

x=-5

hence x=-2,-5

hope this helps!

Answer:

its A

Step-by-step explanation:

i got i right

Answer:

43

Step-by-step explanation:

Square root of 9 is 3

Square root of 16 is 4

Square root of 25 is 5

Square root of 43 is not a whole number.

Answer:

43

Step-by-step explanation:

The first three numbers are perfect squares:

9 = 3²

16 = 4²

25 = 5²

43 is not a perfect square.

Answer:

2500 Square meters

Step-by-step explanation:

Given the garden area (as a function of its width) as:

[tex]A(w)=-w^2+100w[/tex]

The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.

A'(w)=-2w+100

-2w+100=0

-2w=-100

w=50 meters

Since Marquise has 200 meters of fencing to build a rectangular garden,

Perimeter of the proposed garden=200 meters

Perimeter=2(l+w)

2(l+50)=200

2l+100=200

2l=200-100=100

l=50 meters

The dimensions that will yield the maximum area are therefore:

Length =50 meters

Width=50 meters

Maximum Area Possible =50 X 50 =2500 square meters.

Answer:

True

Step-by-step explanation:

since, S= D/T the distance traveled would only be 100m, it is a consatnt variable dividing it with the time it takes to reach that distance would be its speed. Unless there is an acceleration happening in that process the speed would change depending on the situation.

Final answer:

Speed is a function of time and time is a function of speed, with these relationships demonstrated through the equations speed = distance/time and time = distance/speed. The number of students racing does not affect an individual's speed.

Explanation:

A student asked several questions related to speed, distance, and time while analyzing a 100-meter sprint. To address these questions, we will look at the relationships between these quantities.

Speed is a function of time: True. Speed can be calculated as the distance traveled divided by the time it took, so if you know the time, you can calculate the speed using the equation speed = distance/time.

Time is a function of distance: False. Time can be a function of speed and distance (time = distance/speed), but this question does not provide information indicating that time is directly dependent on distance alone.

Speed is a function of the number of students racing: False. The speed of a student is independent of the number of students racing; it is determined by the individual's performance (distance/time).

Time is a function of speed: True. Given a constant distance, time can be calculated by dividing the distance by the speed (time = distance/speed).

Answer:

4%

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

How much is 4 out of 100 written as a percentage? Convert fraction (ratio) 4 / 100

We FOIL, multiply firsts, outers, inners and lasts, and add them all up.

(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6

Answer: x² - x - 6

Answer:

x^2 - x - 6

Step-by-step explanation:

(x - 3) (x + 2)