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

Which statement is true about the graph of
the function y = 3|x – 2| + 4?
A Its vertex is at (-6,0)
B Its vertex is at (-2, 4)
C Its vertex is at (2, 4)
D Its vertex is at (4,2)

Answers

The answer is C it’s vertex is at (2,4) because a quadratic formula is suppose to look like y= a ( x - h )^2 + k and the vertex is (h,k) when you look back at Your question h=-2 and but Bc of the formula then it’ll be h=2 and then k=4 and that’s how you get the vertex from a quadratic formula. Hope this helps :)

Three months ago, Santos could walk 2 miles in 40 minutes. Today he can walk 2 miles in 25 minutes.
Percentage:
Increase or Decrease?

Thank you ☺️

Answers

It would be an increase in percentage by 60%. Thanks or brainliest? :)

What is the y-intercept of the function f(x) = -2/9x + 1/3

-2/9
-1/3
1/3
2/9

Answers

Answer:

Step-by-step explanation:

-1/3

Solve for x in the equation x squared + 10 x + 12 = 36.
x = –12 or x = 2
x = –11 or x = 1
x = –2 or x = 12

Answers

it’s the first one

x = -12 or x=2

Answer:

x= -12 x=2

Step-by-step explanation:

ILL GIVE BRAINLIEST IF RIGHT ASAP

Answers

Answer:

Everything with a dilation so B and E

Step-by-step explanation:

The second and last one, because dilations are only transformation that makes figures SIMILAR!

Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz

Answers

Answer:

-2x-24

Step-by-step explanation:

-5x+3x-24 = - 2x-24

Answer:

-2x-24 hope dis helped

Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?

A.) Both
B.) Monomial
C.) Power
D.) Neither

Answers

Answer:

both

Step-by-step explanation:

both plus power = neither

(Segment Proofs)

Given: K is the midpoint of JL, M is the midpoint of LN

JK = MN

Prove: KL LM

Answers

Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

Can someone help please?

Answers

Answer:

Can i be brainlest i neeed it

A chance of X to 21532020(x+5)


I have literally no clue, help please?

Answers

Answer: x+5/21532020

Step-by-step explanation:

This question simply implies that if we need to know the chances of getting the  chance value it would be 21532030 times smaller for the x+5.

Can someone help me confused on how to solve but it might be easy I just think I'm dumb

Answers

Maybe it’s 2? Let me know if I’m wrong

A family budgeted 28% of their monthly income to take a family vacation.
What fraction of the family's budget was spent on the vacation?

7/250

1/28

7/25

2/8

Answers

The answer is 1/28 i think

Answer:

7/25

Step-by-step explanation:

The answer is simple. It's a simplified fraction of 28%, or 28/100.

PLEAse i need help brainlist if u get it right

Answers

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Can someone please help me on 7

Answers

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

Answer: B.  f(x) = x^2-4x+7

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

---------------

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

---------------

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

---------------

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

What is the equation of the line that passes through the point (4,4) and has a slope
of 3?

Answers

Y=3x-8 I’m pretty sure this is right

Answer:

The right answer is y=-3x-8

Step-by-step explanation:

When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)

Answers

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

60 ft/s = ? Km/h
Please show me how to solve this.

Answers

Answer: 65.88 km/h

Step-by-step explanation:

When multiplying conversion factors, make sure the only remaining units are the desired units.

A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

Answers

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min

Make a conjecture: What happens to
M AJK, m_BKJ, and m_CLJ as you
change the line of reflection?
The angles change.
The angles do not change.
The angles are always right
angles.

Answers

Answer:

the angles change

Step-by-step explanation:

Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.

Answers

Answer:

Step-by-step explanation:

A: $0.1(x) + 25(y) = x + 25

B: $0.05(x) + $40(y) = x + 40

Because they didn't give a certain amount of miles traveled, we have to go with we do know.

**this is probably wrong.

plz help important!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

the square root of 39 is between which 2 integers

Answers

9514 1404 393

Answer:

  6 and 7

Step-by-step explanation:

6² = 36

(√39)² = 39

7² = 49

The square root of 39 is between 6 and 7.

Which number line represents all of the values of x for the equation x2 = 36?

Answers

Answer:

x is 18

Step-by-step explanation:

x is 18 because 18 x 2 = 36

Answer:

-6 and 6 are values of x on number line

Step-by-step explanation:

i took the test :)

2,550 gallons in 30 days

Answers

The answer
is 85 gallons
in a day

Convert 0.04% to a decimal.
1

Answers

it’s 0.0004! i think... if it’s wrong... i’m sorry!

Answer:

0.04%x100/100% = 4.0

Step-by-step explanation:

When converting from a percentage to a whole number, multiply it by 100 to return it to a whole number. since it asks for a decimal, it would become 4.0 instead of 4

-1/2 + 3/4 - 3/8 what is it?

Answers

Answer:

-1/8

Step-by-step explanation:

-1/2 + 3/4 - 3/8 = -1/8

Can I have Brainliest please?

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

So first find the greatest common factor of the denominators

GCF of 2 , 4 and 8 is 8

Then :

[tex]\frac{-4 + 6 - 3}{8}[/tex]

So you do this to get the above answer:

8 divided by the denominator times the numerator.

You still need to work it out

-4 + 6 = 2

[tex]\frac{2- 3}{8}[/tex]

2 - 3 is -1

Thus the answer is [tex]\frac{-1}{8}[/tex]

HOPE THIS HELPED

How many pages do you read in a hour if it takes you 8 hours and 25 minutes to read 500 pages?

PLZZ ANSWER ASAP!!!

Answers

Step-by-step explanation:

165 bc all you had to do was 825 divided by 500.

Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?

Answers

Answer:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Step-by-step explanation:

Let a be the amount of pounds of apricot bought

Let b be the amount of pounds of banana bought

If he buys a total pounds of 5 pounds then;

a + b = 5 ...........1

Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a

Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b

If he spends a total of $24.50 on both banana and apricots, then:

6a + 4b = 24.50 ......... 2

The system of equations that represents the constraints in the situation is:

a + b = 5 ...........1

6a + 4b = 24.50 ......... 2

Answer: C

Step-by-step explanation:

Simplify the expression.
9(4+t) - 7(t + 3)
9(4 +t) - 7(t + 3) =

Answers

Answer:

−63t2−439t−741

Step-by-step explanation:

Let's simplify step-by-step.

9(4+t)−7(t+3)(9)(4+t)−7(t+3)

Distribute:

=(9)(4)+(9)(t)+−63t2+−441t+−756+(−7)(t)+(−7)(3)

=36+9t+−63t2+−441t+−756+−7t+−21

Combine Like Terms:

=36+9t+−63t2+−441t+−756+−7t+−21

=(−63t2)+(9t+−441t+−7t)+(36+−756+−21)

=−63t2+−439t+−741

Solve the quadratic
9x2 + 25 = 0

Answers

Answer:

9x^2=-25

X^2=-25/9

X^2=-2. 77

X= root - 2.77

=-1. 664

Hope this helps you Stay happy and safe Do mark as brainliest ✌️

-1.6 will be the answer for dis equation
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