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3 years ago

Can someone please explain to me how Rational Equations work

Mathematics

1 answer:

Kitty [74]3 years ago

5 0

Answer:

yeah sure, what question do you need help with?

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An electrician charges $35 per hour plus a fixed amount for residential work. For a job that took 6 hours, he billed $270. Write

Alexeev081 [22]

With the information provided, we can begin with the equation:

y=35x + b

With x = number of hours, y = total cost, b = fixed amount that is charged for residential work

We know that after 6 hours, $270 was charged:

$270 = $35(6) + b

Solve for b:

b = $270 - $210 = $60

The fixed amount that is charged for residential work is $60. So now we can rewrite the equation as:

y = 35x + 60

7 0

3 years ago

In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to bake these cakes. Every custo

professor190 [17]

Answer:

There is a 90.32% probability that the cake was baked by Doug.

Step-by-step explanation:

We have these following probabilities:

A 70% probability that Doug bakes the cake.

A 30% probability that Jeremy bakes the cake.

A 40% probability that a cake baked by Doug gets a thumbs up.

A 10% that a cake baked by Jeremy gets a thumbs up.

One cake was selected at random on 10/01/2014 and got a "thumbs up".

1. Find the probability that the cake was baked by Doug.

The probability that a baked cake gets a thumbs up is:

$P = 0.7*0.4 + 0.3*0.10 = 0.31$

Of those, 0.7*0.4 = 0.28 are baked by Doug.

So the probability is:

$P = \frac{0.28}{0.31} = 0.9032$

There is a 90.32% probability that the cake was baked by Doug.

4 0

3 years ago

If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed

Musya8 [376]

Answer:

17.6 minutes

Step-by-step explanation:

$\frac{4}{5} = \frac{x}{22}$

$5x=22$

$x=\frac{22}{5}$

$4(\frac{22}{5} ) = \frac{88}{5} = 17.6$

5 0

3 years ago

Last month, JT made $684 working for 24 hours . This month, he will get 18% increase in the amount he earns per hour. What will

TEA [102]

Answer:

$33.63/hour

Step-by-step explanation:

$684 / 24 hours = $28.50/hour

$28.50 * 0.18 = $5.13

$28.50 + $5.13 = $33.63 / hour after an 18% raise

5 0

3 years ago

What values of x makes the expression (x-6)(x+3) positive?

Georgia [21]

Answer:

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

Step-by-step explanation:

Step 1

Given the equation;

(x-6)(x+3)

Step 2

To determine the values of x that make the equation positive, the equation can be expressed as;

(x-6)(x+3)>0

x-6>0/(x+3)

x-6>0

x>0+6

x>6

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

4 0

3 years ago