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3 years ago

If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how

Mathematics

1 answer:

jenyasd209 [6]3 years ago

5 0

Answer:

645/28 hours

Step-by-step explanation:

In 1 hour, Kamina does 1/43 of the job.

Simon takes x hour to do the job alone.

In 1 hour, Simon does 1/x of the job.

Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.

1/43 + 1/x = 1/15

15x/(645x) + 645/(645x) = 43x/(645x)

15x + 645 = 43x

28x = 645

x = 645/28

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Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$

$cost_2(60000) = 5000 + 60000*0.1 = 11000$

The second option will cost her less than the first one.

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3 years ago

Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1

geniusboy [140]

Answer:

Step-by-step explanation:

eq. of directrix is y-1=0

let (x,y) be any point the parabola.

then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}

squaring

x²-12x+36+y²-4y+4=y²-2y+1

x²-12 x+40-1=4y-2y

2y=x²-12x+39=x²-12x+36+3

(x-6)²=2y-3

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3 years ago

The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth.

grandymaker [24]

I think your answer is 56

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3 years ago

What is the inverse of the function f(x) = x +3?

harkovskaia [24]

Answer:

x=y+3

Step-by-step explanation:

you just swap variables.

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3 years ago

Given the graphs of f(x) = -x + 2 and g(x) = 5x – 4, what is the solution to the equation f(x) = g(x)?

Stels [109]

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x +x

2 = 6x -4

+4 +4

6 = 6x

(divide both sides by 6)

1 = x

7 0

3 years ago

Read 2 more answers