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4 years ago

PLEASE HELP

1 answer:

3 0

Let's begin by putting together some equations:

Seth has charges $39 and then $13 per hour. Since "hour" is our variable, let's write that as $13h where h = the number of hours.

Seth = 39 + 13h, $39 plus $13 times the number of hours

Malcolm charges $55 and then $11 per hour. So:

Malcolm = 55 + 11h, $55 plus $11 times the number of hours

Our goal is to find out how many hours both have to work before they charge the same amount. So let's set our Seth and Malcolm equations equal to one another.

39 + 13h = 55 + 11h, because we want to solve for h to see the number of hours.

First let's subtract 39 from each side:

(39 + 13h) - 39 = (55 + 11h) - 39
13h = 16 + 11h

Now let's subtract 11h from each side:

(13h) - 11h = (16 + 11h) - 11h
2h = 16

Simplify and solve for h by dividing each side by two:

(2h)/2 = (16)/2
h = 8

So Malcolm and Seth would have to work for 8 hours before both earn the same amount. After 8 hours, Seth would earn more than Malcolm. Before 8 hours, Malcolm would earn more than Seth.

You might be interested in

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

4 years ago

If x varies directly as y, then what is y when x = 4, knowing that x = 60 when y = 5?

Basile [38]

Answer: The answer would be 1/2

Step-by-step explanation:

Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x

The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5

It is a linear equation meaning equation of a straight line.

its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it.

next, y varies directly as x. If y = 15 when x = 60, find y when x = 100

if y= 15, when x=60, then there is a number m such that m*y= 60

or m= 60/y= 60/15 =4

so the equation is y=4x. in this cause, the b=0

so when x=0, y=0

The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours?

remember that distance = speed times time.

or d=Vt

so car goes 105 miles on 3 hours

how far it goes in one hour?

if you know that, then you can tell how far it goes in 5 hours.

Hope I made it non tough enough

Please give me Brainliest

4 0

4 years ago

Read 2 more answers

I need help like fast i am on 3 and i do not know what to do

Elis [28]

Answer:

Number 3 has no solution

Step-by-step explanation:

First you need to divide both sides of the equation 12x - 12y = -12 by 4

-3x + 3y = -3

12x - 12y = -12

-3x + 3y = -3

3x - 3y = -3

Then you need to eliminate one variable by adding the equations.

0 = -6

this statement is false, and therefore has no solution.

7 0

3 years ago

Anyone who know how to do this answer i will give you 20 Brainly points and mark the Braninllest person who get it right.

notka56 [123]

Answer:

Answer is A

Step-by-step explanation:

(14x^4y^6)/(7x^8y^2)

because everything is one term, you can split into three terms

14/7, x^4 / x^8 , and y^6/y^2

multiplying these three terms will get us the starting term

14/7 = 2

x^4 / x^8

with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent

1/x^4

same thing with our y's

y^6/y^2

this time, the term stays on the top

y^4

take the simplified terms and multiply them together

(2) * (1/x^4) * (y^4) =

A: (2y^4) / (x^4)

7 0

3 years ago

Suppose there were m married couples, but that d of these 2m. people have died, Regard the d deaths as striking the 2m people at

iren2701 [21]

The function that represents surviving people are X = 2m - d

Given that there are m married couples and d of the 2m of these couples have died, the total people that remain is expressed as:

Total people remaining = Total married couple - those that died

Total married couple = 2m

Total people that died = d

Taking the difference to get the remaining people;

Total people remaining = 2m - d

Hence the function that represents surviving people are X = 2m - d

Learn more on difference here: brainly.com/question/2605546

6 0

3 years ago