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3 years ago

N divided by 5 plus 9 equals 22

Mathematics

1 answer:

jeka943 years ago

3 0

N/5 + 9 = 22

5(n/5 + 9 = 22)

n + 45 = 110

n = 65

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How do you find rate of change? O change in y/change in x. change in x/change in y

JulijaS [17]

Rate of change is used to mathematically describe the percentage change in value over a defined period of time. (I looked that up)

So the rate of change is the slope and slope is the ratio of change between any 2 points on a line.

Slope measures the steepness of a line.

Slope is the ratio of the vertical change, called the rise, to the horizontal change called the run between any 2 points on the line.

Slope is written as a fraction in simplest form. 5/10=1/2

Variable for slope: M.

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3 years ago

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return

attashe74 [19]

<h2>Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.</h2>

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

$420=t_1\times x\\\\t_1=\frac{420}{x}$

Distance to vacation place = Time for return trip x average velocity of return trip

$420=t_2\times (x-15)\\\\t_2=\frac{420}{(x-15)}$

We have total time T = t₁ + t₂

That is

$T=\frac{420}{x}+\frac{420}{(x-15)}$

Time required to complete the round trip $T=\frac{420}{x}+\frac{420}{(x-15)}$ where x is average velocity on the outgoing trip.

8 0

2 years ago

The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000

Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means $x+y\leq 20000$

For concert to be held $x+y\geq 5000$

$lawn seats\leq reserved$ means $y\leq x$

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) = $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

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3 years ago

Add-ons Helplast edit was seconds ago

aleksandr82 [10.1K]

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2 years ago

If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg

lesya [120]

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find $\sqrt{84\\$

5 0

3 years ago

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