Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
she earned $4 per hour less than she originally calculated. How long had she anticipated it would take to do
the job?

Answers

Answer 1

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

$792/(T + 8hs) = X - $4

To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

$792/(T + 8hs) = $792/T - $4

Now we can solve this for T.

$792 = ($792/T - $4)*(T + 8hs)  = $792 + $792*(8hs/T) - $4*T + $32*hs

0 = $792*(8hs/T) - $4*T + $32*hs

Let´s multiply this both sides by T

0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

[tex]T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}[/tex]

Then the solutions are:

T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)

The other solution is:

T = (-32 - 320)/-8 = 44 hours.

Then we can conclude that she expected the job would take 44 hours in total.


Related Questions

You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an input table with 3 domain values

Answers

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

[tex]y = 3x[/tex]

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

[tex]x \geq 0[/tex]

Assume [tex]x = 1[/tex]

[tex]y = 3 * 1 = 3[/tex]

Assume x = 4

[tex]y=3*4 = 12[/tex]

Assume x = 6

[tex]y=3*6 = 18[/tex]

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

At 4 o’clock, Devon called 6 friends to let them know that the weather forecast called for snow. At 6 o’clock, each of those friends called 6 other friends. At 8 o’clock, each of those friends called 6 of their friends.

Answers

Answer:

18

Step-by-step explanation:

I guesss

I needddd helppp pleaseeeeee

Answers

answer :

obtuse angle

explanation : no cap

Answer:

D : Obtuse

Step-by-step explanation:

A right angle is 90 degrees.

An acute and obtuse angle are found by looking at the angle between the sides being looked at.

If the angle is GREATER i.e. Angle > 90 , then it is obtuse.

If the angle is LESS THAN i.e. Angle < 90 , then it is acute.

This angle is apparently greater than 90 degrees and therefore is obtuse.

Identify the next three numbers in this sequence

Answers

Your answer is: 72, 66, 264

Explanation: the pattern is multiply by 4 then subtract 6.

Answer:

72,66,264

Step-by-step explanation:

Find the value of x in the
following parallelogram:
2x
х
х
2x

Answers

Answer:

60°

Step-by-step explanation:

The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:

2x + x = 180°

3x = 180°

x = 60°

The  value of x is 60.

What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.

Given:

Angles x, x, 2x, 2x.

Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.

x+ 2x= 180

3x= 180

x= 180/3

x= 60

Hence, the value of x is 60.

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

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HELP ASAP

Using a sample of the population that is too small is a:

A . measurement error.
B . interpretation error.
C . data collection error.
D . sampling error

Answers

Answer:

a

Step-by-step explanation:

maybe

Is 1666666 continuing a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

An irrational number is a number that continues on and on but doesn't repeat. Since 166666 repeating does repeat it's a rational number.

Can someone please help mee fast!!​

Answers

Step-by-step explanation:

insta I'd :- itz_anurag_r

anyone msg me on insta plzzz I'm bored at home ❤️

Here I will be giving a Brainiest to a good answer :D

Answers

Answer:

A. F

B. D

C. C

D. E

E. G

F. G

G. D

Step-by-step explanation:

Answer: A. 9/4

              C. -1.75

              D. 1.75

              E -2      

              F-1

              -2 1/2  

Step-by-step explanation:

Find a Point-Slope equation for a line containing the given point and having the given slope.

(5, -1), m =1/5

Answers

Answer:

The point-slope equation for a line is:

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]

Step-by-step explanation:

Given

The point = (5, -1)m = 1/5

We know that the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line

substituting the values m = 1/5 and the point (5, -1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]

Thus, the point-slope equation for a line is:

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]


Joe drove 215 miles in 3 hours. Moe drove 240 miles in 4 hours. Who drove at the fastest rate of speed

Answers

Moe drove the fastest
joe is the one who has the fastest rate because 215 divided by 3 is 71 while moe 240 divided by 4 is 60.

so your answer is joe

mark me brainliest

PLEASE HELP. I need the answer ASAP.

Answers

Answer:

Its D

Step-by-step explanation:

D that’s the answer

Which coordinates represent the plotted point? Check all that apply. (StartRoot 13 EndRoot, 146.3 degrees) (StartRoot 13 EndRoot, 213.7 degrees) (negative StartRoot 13 EndRoot, negative 33.7 degrees) (Negative StartRoot 13 EndRoot, negative 146.3 degrees) (−3, 2) (3, −2) (−2, 3)

Answers

Answer:

A, C, E.

Step-by-step explanation:

Just did it.

Answer:

A (square root 13, 146.3 degrees)

C (-squareroot13, -33.7 degrees)

E (-3,2)

6/5 s = -2

whats the answer solve the (s)

Answers

Answer: s= -5/3

Step-by-step explanation: hope this helps!

the answer is 5/3 i hope this help!

what does nonlinear mean?

Answers

It’s not linear




............

Answer:

Not denoting, involving, or arranged in a straight line.

Step-by-step explanation:

I looked it uo on google

im not SmArT

PLEASE HELP!! a 90% confidence interval is (35,45) what is the margin of error?
a. 10
b. 9
c. 5
d. 4.5

Answers

Answer: C: 5

Step-by-step explanation:

Just took the test in Ape x

The margin of error will be 5. Option C is corect.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

The interval is;

(35,45)

Half of the breadth of the total confidence interval is the margin of error.

MOE = (45-35)/2

MOE =5

The margin of error will be 5.

Hence option C is corect.

To learn more about the margin of error refer;

https://brainly.com/question/10501147

#SPJ2

HELPPP I WILL GIVE BRAINLIEST no trolling plz:(

Answers

Answer:

y = 2 x - 8

Step-by-step explanation:

The image below shows proof that the points (4,0) and (7,6) lie on the equation y = 2 x - 8

Hope this helps! :)

Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?

Answers

Answer: 30%

Step-by-step explanation:

She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.

i need help please ​

Answers

I also need help but mentally lol ok so what I don’t know then Answer but I can tell u what to do so all the numbers under the minutes ur gonna subtract to find the difference in between and then u add the difference and that should be ur answer lmk if u understand

Answer:

kgjyfhtgdxhfc

Step-by-step explanation:

jgvkhjjhgdjfgkh

HELP!!! ASAP PLEASE The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those 5 hours?

Answers

Answer:

22.5 degrees.

Step-by-step explanation: Just change the half to 0.5 so then times 4.5 times 5.

Answer:

22 1/2

Step-by-step explanation:

I did the quiz

Select the correct answer. What is 6 1/3 divided 1/6 equal to? A: 6 B:9 C: 12 D:19 E:38
Again select the correct answer.

Answers

Answer:

The answer would be E:38.

Answer:

38

Step-by-step explanation:

Convert 6 1/3 to a fraction, 19/3

Divide 1/6 by multiplying

19                6

__     X         ___. = 38

3.                  1

Find the midpoint of (0, 3) and (-4, 1).

Answers

Answer:

is there a page we can look at

Step-by-step explanation:

During a thunderstorm, 4
inches of rain fell in 2 1/2
hours. What was the rate of rainfall in inches per hour?

Answers

Answer: 1.6 in per hour

Answer:

hourly rate.

Step-by-step explanation:

As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.

However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.

For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.

Identify which of these types of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine her stress level​, Charlotte divides up her day into three​ parts: morning,​ afternoon, and evening. She then measures her stress level at 2 randomly selected times during each part of the day.

Answers

Answer:

stratified sampling

Step-by-step explanation:

Note, in the stratified sampling sample method, the population is divided into smaller strata or smaller groups, and then a sample is selected randomly.

In this scenario, the population is a day (24 hours), so dividing the population (day) into three parts; morning, afternoon, and evening represents the various strata. Hence, since Charlotte, the researcher measures her stress level at 2 randomly selected times during each part of the day, she would be using the stratified sampling method.

getting bored.Is there anyone???​

Answers

Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

Answer:

WOW yRRRRRR

Step-by-step explanation:

Which is the graph of f(x) = 2(3)x

Answers

The graph of f(x)=2(3)x would look like this

Determine from the balanced chemical reaction if
the derived mole ratio is correct or incorrect.

Answers

It's incorrect. There are 6 moles of NaBr produced for every 3 moles of Na₂S among the reactants (as well as 2 moles of FeBr₃), so the mole ratio of NaBr to Na₂S should be 2 : 1, not 1 : 1.

PLEASE HELP ME STATTTTTTTTT

A real estate agent has $61 to spend on newspaper ads. Each ad costs $7. After buying as many ads as she can afford, how much money will the real estate agent have left over?

Answers

Answer:

8.714285    repeated

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

The real estate agent can buy 8 ads for a total of $56. Next you do $61 minus $56 which equals $5. If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Solve the inequality​

Answers

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

x < 2 hope that helps

I don’t understand please help

Answers

y= 4/1 x -9 :) djsjsjdndndndj
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