1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
3 years ago
12

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

a's parents allow her to work a maximum of 15 hours per week overall. Lia's goal is to earn at least $120 per week.
Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours? 

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 

5r+10y

5*8 + 10*12

= 40 + 120

= $160

You might be interested in
If △NMO ∼ △XYZ, and the area of △NMO is 147 square feet, find the area of △XYZ
sladkih [1.3K]

The area of △XYZ according to the figure is 363ft²

<h3>Area of triangles</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

  • b is the base
  • h is the height

<h3>Calculate area of each triangles</h3>

For the triangle  △NMO

Area of  △NMO = 0.5bh

147 = 0.5b(14/12)

147 = 7b/12

7b = 12 * 147

b = 252

b = 252ft

b = 3024in

Get the base of △XYZ

14/3024 = 22/XZ

XZ = 4,752in

Area of △XYZ = 0.5 (4,752)(22)

Area of △XYZ= 52,272in²

Area of △XYZ = 363ft²

Hence the area of △XYZ is 363ft²

Learn more on area of triangles here: brainly.com/question/17335144

6 0
2 years ago
Solve for x<br> i have no clue what i’m doing help!
miss Akunina [59]

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

5x = 4 × 10 = 40 ( divide both sides by 5 )

x = 8

6 0
3 years ago
Read 2 more answers
4+5=4m+1 what is m=?
Anna11 [10]
M=2 thank me later !!!!
6 0
3 years ago
A box of chocolate is divided among Jim, Jack and David. David gets 2/5 of the box and Jack gets 1/5 of David's share and the re
Elan Coil [88]

Answer:

200

Step-by-step explanation:

Jack share = 2/5 x 1/5 = 2/25

amount left over = 1 - (2/25 + 2/5) = 13/25

13/25 x t = 260

t = total amount of chocolate

t = (260 x 25) / 13 = 500

Davids share = 2/5 x 500 = 200

8 0
3 years ago
Pic below................................<br> answer ASAP
Free_Kalibri [48]

Answer:

The answer is C.-216

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A particle which is movin in a straight line with constant acceleration covers distances of 10m and 15m in two succesive seconds
    7·2 answers
  • I need the area! <br><br> Of this picture
    10·1 answer
  • Trig please help.
    14·1 answer
  • Can someone help me with a and b thank you
    10·1 answer
  • Alguem sabe a resposta? <br><br> 3 (x+y)<br><br> -3(2+8)<br><br> x (x-y)<br><br> 2xy(x+y)?
    10·1 answer
  • Can someone figure this out for me and tell me how you got the answer please!!
    10·1 answer
  • A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n
    8·1 answer
  • Need help figuring out this answer
    13·1 answer
  • This quadrant has the signs (-, -) of
    8·1 answer
  • Can someone please help me ill mark you brainliest!!! !!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!