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
Xelga [282]
2 years ago
14

The amount a gardener gets paid is directly proportional to the number of hours it takes for him to complete the job.

Mathematics
1 answer:
astraxan [27]2 years ago
8 0

Answer:

  £105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

  3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

__

Here are a couple of other solution methods.

<h3>as a proportion</h3>

  pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

  ? = £70×(18 hours)/(12 hours) = £70×(18/12)

  ? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

__

<h3>as direct proportion equation</h3>

The equation for a directly proportional relationship is ...

  y = kx

If we let y represent pay and x represent hours, then we have ...

  70 = k(12)   ⇒   k = 70/12 = 35/6

Then for 18 hours, the pay is ...

  y = (35/6)x

  y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

You might be interested in
Which is lowest; Brand A: 240 mg sodium for 1/3 pickle or Brand B: 325 mg sodium for 1/2 pickle.
Ainat [17]
Brand A is. Just divide 100 (100% of a pickle) by each number, so 100 divided by 240 and 100 by 325. Then you multiply them by the fraction of 100, which 1/3 is 33.3% and 1/2 is 50%. It comes very close but A is the lowest. 
8 0
3 years ago
Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% ti
pychu [463]

Answer:

28.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If 70% of college students say they have a job what is the probability that 3 randomly selected college students say they have a
dsp73

Answer: 0.343

Step-by-step explanation:

Probability of college students that say they have a job = 70%

Number of randomly selected college students = 3

The probability that 3 randomly selected college students say they have a job will be:

= (70/100)³

= 0.7 × 0.7 × 0.7

= 0.343

4 0
2 years ago
Find the difference between -14w - 3 and 5w.
kirza4 [7]
(-14w) - (-3) - (-5w) equals
-9w + 3

or if what you're saying is
-14w - 3 - 5w it equals
-19w - 3

or if what youre saying is
(-14w - 3) - 5w it equals
-19w - 3


8 0
3 years ago
Read 2 more answers
D) Round 0.00208815 to 3 significant figures.
Lostsunrise [7]

Answer:

= 0.00209

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A party store uses 20% of a tank of helium a day and fills 80 balloons. Each balloon takes 0.5 cubic feet of helium to fill. How
    7·2 answers
  • Find the solution to the equation below. 2x^2+3x-20=0
    6·2 answers
  • What is 5/3 in simplest form?
    12·2 answers
  • Solve the following system by any method–3x 5y = –94x 8y = 12
    10·1 answer
  • Un importante grupo de inversionistas, asociado a una línea de buses interurbanos, está considerando instalar un centro logístic
    12·1 answer
  • Your friend claims it is possible for a rational function to have two vertical asymptotes. Is your friend correct? Justify your
    12·1 answer
  • Fatima has a car detailing service. She charges $15.00 for a vacuum,
    7·2 answers
  • Hello ! does anyone know how I could get x and y from this equation :
    10·1 answer
  • 2x-y=4<br> -2x+y=7<br> is there a solution
    5·2 answers
  • When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!