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

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

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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:

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

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

Answers

Answer:

B = 9a+4

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.

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:

1. Write 1980 in scientific notation

Answers

Answer:

1980 is 1.98 x 10³ in scientific notation

Step-by-step explanation:

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

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  

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

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

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

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:

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.

What do these (>, ≥, <, ≤) mean

Answers

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

Step-by-step explanation:

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:

CAN SOMEONE HELP ME?

Bode Chambers is a flight attendant with an annual gross pay
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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.

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

3x+2y=15
4x-5y=-3
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Answers

Answer:

x=3,y=3

Step-by-step explanation:

Answer:

Point Form:

( 3 , − 6 )

Equation Form:

x = 3 , y = − 6

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:

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:

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

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Answers

Answer: (-9,125)

When you graph this the intersection point is that.

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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.

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

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Answers

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

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

6c = 78 ( divide both sides by 6 )

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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

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

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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
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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:

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Answers

Answer:

7x

3 and 6 are alternate interior angles so they are equal

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)

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