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
Lelu [443]
3 years ago
12

Nikolai can spend up to 7  hours this weekend performing chores around his parents’ veterinary practice. They pay him $3  for ev

ery kennel he cleans and $10  for every dog he bathes. It takes Nikolai 10  minutes to clean out a kennel and 30  minutes to bathe a dog. There are currently 30  dirty kennels and 8  dogs that need to be bathed.  Part A: How many of each chore should Nikolai complete in order to earn the most money? Part B: Nikolai dislikes bathing dogs, so he decides to start by cleaning all of the kennels first. He will then bathe dogs with any time that remains. If he begins with the kennels, how many dogs will he have time left to bathe? 

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0
We start by setting out the inequalities

Let the number of kennels is 'k' and the number of dogs is 'd'

Inequality 1:

30 minutes per dog + 10 minutes per kennel ≤ 7 hours 
30d + 10k ≤ (7 × 60)
30d + 10k ≤ 420

Inequality 2:

Number of kennels to be cleaned is 30
k ≤ 30

Inequality 3:

Number of dogs to bathe is 10
d ≤ 10

Sketching the graph on the Cartesian axes will look like the diagram below
---------------------------------------------------------------------------------------------------------------

PART A

From the graph, we can see two intersection coordinates that satisfy the three inequality, which we will check in turn for the greatest possible money that Nikolai could earn

First coordinate (18, 8) ⇒ This means, 18 kernels and 8 dogs
(18 × $3) + (8 × $10) = 54 + 80 = $134

Second coordinate (30, 4) ⇒ This means, 30 kernels and 4 dogs
(30 × $3) + (4 × $10) = $90 + $40 = $130

The maximum earning Nikolai could get is $134 if he cleans 18 kernels and baths 8 dogs.
-----------------------------------------------------------------------------------------------------------PART B

If Nikolai cleans all the kernels first, he'd spend 30 × 10 minutes = 300 minutes out of 420 minutes he has in total in a day

He'd have 420 - 300 = 120 minutes left to bath some dogs.

He needs 30 minutes to bath one dog
With 120 minutes he's got left, he can only bath 120 ÷ 30 = 4 dogs


 

You might be interested in
A shose box measures 15in.by 7in.by 4 an half
Svet_ta [14]
The volume is 472.5in^3.

4 0
3 years ago
Find the value of x and y
Nikitich [7]

Answer:

x=45 degrees

y=45 degrees

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Betty had $70. She bought a necklace for $9 and a ring for $7. Which expression correctly shows the total money Betty has left?
Elodia [21]
70 - 9 - 7 = x 70 being the original amount 
4 0
3 years ago
Read 2 more answers
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
2 years ago
Which expression has a value of 17?
Ivahew [28]
The second choice is the answer
5 0
3 years ago
Read 2 more answers
Other questions:
  • Samir recorded the number of different types of pets his friends have in the table shown below:
    14·1 answer
  • A rectangle has an area of 56 square centimeters it's length is 8 centimeters what's the width
    13·2 answers
  • Evelyn wants to pour 2 3/4 cups of water into a pot. She only has 1/2 cup measuring cup. How many times must she fill the 1/2 cu
    7·1 answer
  • Write a number sentence to add 6 ones to 21
    9·2 answers
  • Does anyone know what 2/6 plus 1/8 is?
    8·1 answer
  • MATH<br><br>ANSWER and I will give you brainiliest ​<br>​
    7·1 answer
  • Andrew plays on a basketball team. In two games he scored 2/5 of the total number of points his team scored. His team scored 55
    15·2 answers
  • Calculate the tax amount they pay in a form of tax (tax =R14 850)​
    6·1 answer
  • Expand and simplify <br> 4(2x+3)+ 4(3x+2)
    6·1 answer
  • Algebra <br> Level: High School
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!