An architect built a scale model of a shopping mall. On the model, a circular fountain is 21 inches tall and 17.5 inches in diameter. If the actual fountain is to be 6 feet tall, what will its diameter be?

It take 2 years for the number of male nurses to exceed the number of female nurses.

Given:

f(t) = 7,300 + 25t

m(t) = [tex]2,500(1.02)^t[/tex]

To find the value of t at which m(t) > f(t).

Let's set up the inequality:

[tex]2,500(1.02)^t > 7,300 + 25t[/tex]

We can start with t = 0 (year 2000) and increment t until m(t) exceeds f(t).

For t = 0:

m(0) = [tex]2,500(1.02)^0[/tex] = 2,500

f(0) = 7,300

Since m(0) < f(0), increase t.

For t = 1:

m(1) = [tex]2,500(1.02)^1 =[/tex] 2,550

f(1) = 7,300 + 25(1) = 7,325

Since m(1) < f(1), increase t as

For t = 2:

m(2) = [tex]2,500(1.02)^2 =[/tex] 2,601

f(2) = 7,300 + 25(2) = 7,350

Since m(2) > f(2), the number of male nurses is expected to exceed the number of female nurses after 2 years since 2000.

Therefore, it will take about 2 years.

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Answer:

6

Step-by-step explanation:

f(6) from the graph is -6

g(5) from the graph is -5

4*f(6)-6*g(5)=(4)(-6)-(6)(-5)=-24+30=6

Answer:

Pay for 3 and get one off

Step-by-step explanation:

Because you would get more for your bargain. A 20% coupon would be for one. but to buy 3 and get one free, that's a better deal.

(Pls give brainliest)

Answer:

Percentage increase= 125%

Step-by-step explanation:

Giving the following information:

2018= 200 dogs

2019= 450 dogs

To calculate the percentage increase, we need to use the following formula:

Percentage increase= [(2019 - 2018)/2018]*100

Percentage increase= [(450 - 200)/200]*100

Percentage increase= 125%

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

The equation to find the length of the fallen part of the tree  is

[tex]x=\sqrt{8^2+13^2}[/tex]

Right triangles is a triangle with one angle is 90 degree.

The side opposite to 90 degree is the hypotenuse.

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The length of the fallen part of the tree is the hypotenuse

Hypotenuse is 'x'

Base of the triangle is 13 feet and height is 8 ft

Apply Pythagorean theorem to find out the hypotenuse 'x'

[tex]hypotenuse^2= base^2 + height ^2\\x^2=\sqrt{13^2+8^2} \\x=\sqrt{13^2+8^2}[/tex]

the equation to find the length of the fallen part is

[tex]x=\sqrt{8^2+13^2}[/tex]

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Answer:

is 4.2 the circumference

Step-by-step explanation:

Answer:

2.1 cm

Step-by-step explanation:

Given:

Tickets to a football game cost $6 per ticket.

To find:

The equation that represents this relationship between tickets purchased and total cost.

Solution:

Let t represents the number of tickets purchased and c represents the total cost.

Cost of 1 ticket = $6

Cost of t ticket = $6t

Since, c is the total cost oft tickets, therefore the equation for given situation is

[tex]c=6t[/tex]

Therefore, the required equation is [tex]c=6t[/tex].

Answer:

Your answer is 2.4

Step-by-step explanation:

Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

1

Step-by-step explanation:

1 part

i m sorry my small brother wrote it

Answer:

The second one y<2x-6

Step-by-step explanation:

Based on the shading we can tell that the sign is going to always be shaded on the right side. We see the line is dashed (its kinda hard to see) but a dashed line means none of the points on it can be part of the solution. If it was a solid line it would be ≤ and we see it's not so its <

Answer:

[tex]12^{2}[/tex]

Step-by-step explanation:

To find: a power that has a value greater than 140 and less than 145

Solution:

Take [tex]x=12^{2}[/tex]

Here,

[tex]12^{2}=144[/tex] and [tex]140<144<145[/tex]

That is [tex]140<x<145[/tex]

Therefore,

[tex]12^{2}[/tex] has a value greater than 140 and less than 145.

Answer:

1010.33

(:

Step-by-step explanation:

Answer:

- 7/4

Step-by-step explanation:

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

Answer:

Step-by-step explanation: sowwy I dunno

Answer:

Maybe -2,0,2,4 but I'm not sureee

Eekkkkk sorryy

Answer:

20 pencils

Step-by-step explanation:

Ratio: 4:5 (4 to 5)

16: (?)

16 ÷ 4 (the 4 in 4:5) = 4

So:

4 x 5 = 20

Final Answer:

16:20

Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:y= (3/4)x -7/4

Step-by-step explanation:

[y -(-1)]/[x - 1] = [2 -(-1)]/[5 - 1]

[y + 1]/[x - 1] = 3/4

y + 1 = (3/4)x - 3/4

y = (3/4)x - 7/4.

Answer:

$2

Step-by-step explanation:

Let, price of individual child ticket is $x, and price of individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

and on Saturday we can write an equation is 72x+36y=306.....(2).

so, Equation 1: 55x+20y=200

Equation 2: 72x+36y=306

now, we are going to solve both equations.

after solving you will find x=2 and y=4.5

Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.

The cost of a child's ticket will be $2.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

On Saturday we can write an equation is 72x+36y=306.....(2).

The first equation is:-

55x+20y=200

The second equation will be written as:-

72x+36y=306

Now, we are going to solve both equations. After solving you will find x=2 and y=4.5

Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.

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Answer:

Blank = 2/7

Step-by-step explanation:

Answer:

There is nothing here to answer

Step-by-step explanation:

Answer:

(-3, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x - y = 12

y = -4x - 9

Step 2: Solve for x

Substitution

Step 3: Solve for y

Given :

Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.

To Find :

A) Identity the variables then write system of linear equations to represent the situation.

B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.

Solution :

a) Linear equation of center A :

F = 35x + 60   ...1)

Linear equation of center B :

F = 45x  ...2)

b) Let, after n months both fitness centers cost the same fee :

So, 35m + 60 = 45m

10m = 60

m = 6 months

Putting value of m in equation 1) or 2) is :

F = (35×6) + 60 = $270 or F = 45×6 = $270 .

Therefore, the cost when they have same fee is $270 .

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.

Answer:

Step-by-step explanation:

Total cost per d persons:

Answer:

y = 8

x = 18

Step-by-step explanation:

(x + y = 26) x2 -1

2x+3y = 60 -2

2x+2y = 52 -1

2x+3y = 60 -2

Subtracting equation 2 from equation 1

= -y = -8

= y = 8

_____________________________________________________

2x+3y = 60

= 2x+3x8 = 60

= 2x+24 = 60

= 2x = 60-24

= 2x = 36

= x = 36/2

= x = 18