Huang Yi works as a paleontologist and a sculptor. She earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. Huang Yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. In the inequality shown above, PPP represents the number of months Huang Yi can work as a paleontologist and SSS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?

Answers

Answer 1

Answer:

4 months

Step-by-step explanation:

Let P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal.

If she works for P months as an paleontologist, her income would be 5500P while if she works for S months as a sculptor her income would be 4500S.

Her total income = 5500P + 4500S

Since she wants to earn more than $50000, hence:

5500P + 4500S > 50000

Given she worked as a paleontologist for 6 months, therefore:

5500(6) + 4500S > 50000

33000  + 4500S > 50000

4500S > 50000 - 33000

4500S > 17000

S > 17000/4500

S > 3.78

S > 4

The minimum whole number of months that she must work as a sculptor to reach her goal is 4 months


Related Questions

4x - 8 < 32
what is the solution?

Answers

Answer:

x<10

Step-by-step explanation:

add 8 to both sides

4x<40

then divide by 4

x<10

A book originally cost $16.95. Dave bought the book when it was an
For 20% oh. How much did he pay for the book?

Answers

13.56 is the answer to this

Answer:

13.56

Step-by-step explanation:

Oh

h

ef

ds

f

f

esf

ds

fsd

f

sd

f

sdfsd

f

sd

f

sd

f

sdf

sd

f

sd

f

sdfaSf

as

g

sd

g

tjyk

tyj

y

j

ty

jt

yj

yj

t

he

th

erh

er

h

erh

rh

er

h

e

rh

e

rh

e

rh

r

h

er

he

r

h

e

h

e

CAN SOMEONE HELP ME?

Bode Chambers is a flight attendant with an annual gross pay
of $54,400. He is single and is paid on a monthly basis. How
much is withheld monthly for state taxes?

Answers

Answer:

$750.00

Step-by-step explanation:

$54,400 ÷ 12 = $4366.66

the first $1000, is taxed at 1.5%

1000 × .15 = $150.00

that leaves Bode with $3366.66 of taxable income.

the first $2000.00 is taxed at 3%.

2000 × .3 = $600.00

leaving $1366.00 of non-taxable income. since it's below a second $2000, Bode's state has squeezed out as much as legally allowed from his paycheck.

$150.00 + $600.00 = $750.00

Bode should move to a less greedy state.

A factory uses 30 yards of leather to make belts. Each belt is 2/3 yard long. How many belts can the factory make?

Answers

Answer:

your answer is 45

Step-by-step explanation: it is 45 because 30 divided by 2/3 is 45

Rachel is saving money to buy an outfit for a party she has already saved $17 she is earning $5 each month for being a mother's helper to the family next door how many weeks until she has in 39 points $50 to buy the outfit from the store consider she is only paid for working a full week not a 1/2 week.

Answers

Answer:

18 weeks

Step-by-step explanation:

Let the number of months she worked since she is paid monthly be represented by x

The Equation to solve this question is given as:

$17 + 5 × x = $39.50

17 + 5x = 39.50

5x = 39.50 - 17

5x = 22.50

x = 22.50/5

x = 4.5 months

We are asked to calculate how many weeks.

Hence we convert the number of months to weeks

1 month = 4 weeks

4.5 months = x

4.5 × 4 = 18 weeks

Therefore, she works for 18 weeks

Answer: I got 5.0 weeks. and i got it right. it says she got paid for a FULL week, not half a week. if she got paid half it would be 4.5, but in this problem it’s focused on whole so it’s 5.0 weeks. hope this helped!

Step-by-step explanation:

Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?

Answers

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Solve for b in terms of a: 27a - 3(b - 6) = 6

Answers

Answer:

B = 9a+4

Step-by-step explanation:

HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))

Answers

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

I believe some of the brainly admins are abusing their power because they keep deleting my questions and I am not violating guidelines and I read them over and over

Answers

I agree. Some people's questions keep getting deleted. Thanks you for bringing this up. Hopefully someone can contact the administrator.

Answer:

They are abusing there power im being harassed by gabriella8671  

Step-by-step explanation:

Hes saying the reasoning is deleting a users homework I DONT EVEN KNOW WHAT IT MEANS

help me please please

Answers

Answer:

7x

3 and 6 are alternate interior angles so they are equal

Step-by-step explanation:

Please please help will give brainliest!!

Answers

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

FG = FI , substitute values

7c - 67 = c + 11 ( subtract c from both sides )

6c - 67 = 11 ( add 67 to both sides )

6c = 78 ( divide both sides by 6 )

c = 13

Answer:

c = 13

Step-by-step explanation:

We know FG and FI are equal to each other because F is the cross section of a rectangle.

FG = 7c - 67

FI = c + 11

FG = FI

7c - 67 = c + 11 Add 67 to each side so it will cancel on the left

7c = c + 11 + 67

7c = c + 78 Subtract c from each side so it cancels on the right

7c - c = 78

6c = 78 Divide each side by 6

6c/6 = 78/6

c = 78/6

c = 13

1. Write 1980 in scientific notation

Answers

Answer:

1980 is 1.98 x 10³ in scientific notation

Step-by-step explanation:

The weight of eggs from a local farm are Normally
distributed with mean of 2.1 ounces and a standard
deviation of 0.25 ounces.
An egg that weighs 2.0 ounces or more is labeled large
and anything below is labeled average.
What percent of eggs from this farm are labeled as
large? Round to the nearest tenth.
Weight of Eggs
average
large
3
-2
-3
1.35
2
2.6
1.6
2.35
2.85
-1 no
1.85
2.1
Ounces
2.0

Answers

Answer:

65.5

Step-by-step explanation:

I just took the assignment on edge. Good luck

Answer:

65.5 is correct

ED2021

Your bank account has a balance of $25. You withdraw $46. You then deposit $50. What is your new balance?

Answers

Answer:29

Step-by-step explanation:$25-$46=-21

-21+50=29

$29

25-46=-21
-21+50=29

Convert the fraction into a decimal using a calculator.
Round off to three decimal places. 22 / 95 =

Answers

Answer:

The answer would be 0.22 or .22

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

divide the numerator by the denominator

22÷95= 0.23157894...

round 0.23157894... to 0.23

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

The answer is B or d

Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?

Answers

Answer:

6

Step-by-step explanation:

i am guessing because a pizza has 8slices just take away two and your left with 6

Answer:8

Step-by-step explanation:

PLZ HELP, 20 points!!!
22. What is the domain of the graph?

23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!

Answers

Answer:

.

Step-by-step explanation:

Answer:

domain: all real numbers

range: y| y is greater than or equal to 5

78.57142857 round up​

Answers

Answer:

It would be 79 as a whole number.

Step-by-step explanation:

78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.

If it is 5 or greater than. You would round it to 79

If not greater than 5. You round it down to 78 still.

Can you help me out here im in the test rn

Answers

Answer:

Type of exercise

Step-by-step explanation:

I pretty sure it’s D

Solve each inequality. p + 5 < 10 A. p < –15 B. p < 5 C. p < 15 D. p < –5

Answers

Answer:

B) p<5

Step-by-step explanation:

2k? - 8k - 24
please factor this and show me how you got the answer

i will give u brainliest

Answers

Answer:

-6k(k-4)

Step-by-step explanation:

2k-2*4k-2*12

Factor out common terms:

2(k-4k-12)

Factor out k-4k-12:

2(-3(k+4))

Refine:

-6k(k-4)

His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp

Answers

Answer: 212.50%

Step-by-step explanation:

The gonzalez family is taking a cruise that costs $3,082.24 for a family of four. How much does it cost per person​

Answers

Answer:

12,328.96

Step-by-step explanation:

I did the math.

Answer:

$770.50

Step-by-step explanation:

divide $3,082.24 by 4

What do these (>, ≥, <, ≤) mean

Answers

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

3x+2y=15
4x-5y=-3
What is the following system of equations

Answers

Answer:

x=3,y=3

Step-by-step explanation:

Answer:

Point Form:

( 3 , − 6 )

Equation Form:

x = 3 , y = − 6

please help !! thank you !

Answers

Answer: (-9,125)

When you graph this the intersection point is that.

Answer: y= -55, 135

X= -10, -9

Step-by-step explanation:

Here is a picture of my work. With this type of problem there are a multiple ways of finding your x and y values.

There are 6 × 1012 raindrops in one thunder cloud. Which shows what a calculator would display for the number of raindrops in 5 thunder clouds?

A
1.2E12

B
1.2E13

C
3E12

D
3E13

Answers

Answer:

The answer is D

3E13

Step-by-step explanation:

6E12 x 5 = 30E12 or 3E13

Answer:

the answer is Dplease mark brainliest grasias

Mark is having birthday party.he brought 8 pizzas to be shared equally among 40 people. Which two equivalent representation could be use to determine how much pizzas each guest will receive

Answers

Answer:

cut all pizzas into 5 slices so each guest can have one or into 10 slices so each can have two smaller ones

Step-by-step explanation:

What is the difference of the two polynomials?

(7y2 + 6xy) – (–2xy + 3)

Answers

Answer:

15

Step-by-step explanation:

Step-by-step explanation:

(7y² + 6xy) - (-2xy + 3)

⇒ (-1 * -2xy) + (-1 * 3) = 2xy - 3

7y² + 6xy + 2xy - 3

7y² + 8xy - 3  

Other Questions
What is (2,6) reflected over the y-axis? Which factor causes the shape of a fatty acid to be straight? A. Having double bonds between atoms of carbon and oxygen B. Having only single bonds between carbon atoms C. The total number of carbon-to-carbon double bonds D. The total number of carbon-to-hydrogen single bonds 1. Why is the blood supply adequate to transport hormones such as growth hormone and calcitonin? Use the picture below please!! A cube has edges of 8 inches, what is the volume of the cube? Use the formula V = S324 cubic inches64 cubic inches512 cubic inches4,096 cubic inches Write 8x10 3 in standard notation PLEASE HELP (10 3 = ten to the third power) Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies charges will be the same. PLS HELP I WILL GIVE YOU Brainliest 1820 Missouri compromise Turtles are cold blooded meaning to use the sun to keep warm Austin a hypothesis the hospital prefer swimming in warm water he places his turtle on a rock in the middle of the bathtub and measures how much time the turtle spends off the rock doing a five minute. He conducts experiment on the four conditions in the bathtub no water warm water cold water and room temperature water in this experiment which is a control group The children excitedly talked about the fun of fishing. Find the adjectives and adverb M/x =n-p, x for p ?? Imagine you met your science teacher and wanted to know about theimportance of health and hygiene. Habits to keep healthy, nutritious food to be taken.etc,Write an imaginary conversation between your teacher and you with at least 5exchanges 02.09 Evaluacin oralUsing complete sentences in Spanish in the present tense, describe your volunteering experience. You also want to give directions to the location in case they want to volunteer.Use the correct form of the verb trabajar to explain where you volunteer.Use one direct object pronoun to describe a chore you do.Use one indirect object pronoun to describe to whom you do a chore you for.Use one direct object pronoun and one indirect object pronoun (double object pronoun) to explain another chore you do.Use estar + preposition to give the location where you volunteer. Divide. Round to the nearest tenth if necessary. 118.5 divided by 5 Which of the following sustainable practices utilizes the MOST technology?A. hydroponic farmingB. precision agricultureC. urban greenhouseD. aquafarming The light skin color helps this species of lizard blend in with its brightenvironment. What advantage does having a dark dewlap have in a bright environment A A dark dewlap mimics other species to help it survive B A dark dewlap is easier to get a mates attentionC A dark dewlap helps to attract insects for feedingD a dark dewlap does not have any advantages ILL GIVE BRAINLIST IF U ANSWER THIS QUESTION PLS I REALLY NEED HELP its number 13 The great powers of Europe were al interested in the opportunities availabe in North America.A: trueB: false