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3 years ago

ALGEBRAIC model that represents the following situation: "A local fair charges an entrance fee of $5, and costs $1.25 per ride.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

Answer:

y = 1.25x + 5

Step-by-step explanation:

The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.

y = mx + b

only rates that change is dependent on how many rides you go on.

so 1.25 is your slope, m

y = the amount you will spend

x = the amount of rides you go on

b = the cost to enter the fair -- this is fixed.

put the equation together

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Harrizon [31]

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multiply 5/6 by 7 to get 35/42
multiply 2/7 by 6 to get 12/42
subtract 12 from 35 to get 23

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3 years ago

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atroni [7]

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8 0

3 years ago

Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was

kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

P = $50,000

I = $9,375

t = 3 years

r = ?

The formula for simple interest is given by

$I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%$

Therefore, the annual interest rate is 6.25%

6 0

3 years ago

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Can someone please help me?

bulgar [2K]

Solution:

<u>Given:</u>

18 = 2b

<u>Solve the equation by isolating the variable.</u>

=> 18 = 2b
=> 2b/2 = 18/2
=> b = 9

The value of b is 9.

Hoped this helped!

6 0

2 years ago