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chubhunter [2.5K]
3 years ago
14

6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

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Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pa
sergiy2304 [10]

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

5 0
3 years ago
I need help will give brainliest for correct answer
Alex777 [14]

Answer:

x=-2

Step-by-step explanation:

To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!

6 0
3 years ago
Read 2 more answers
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of t
Ksenya-84 [330]

Answer:

$120,000

Step-by-step explanation:

Given that

The price of the new car is $750,000

And, the saving percent is 16%

We need to find out the saving amount for the deposit

SO, the saving amount is

= $750,000 × 16%

= $120,000

We simply multiply these two to each other so that the saving amount could come

7 0
3 years ago
Please help me with this answer
aivan3 [116]
It should be 56.
each time they are adding an odd number
55+1 = 56
56+3= 59
59+5= 64
64+7= 71
71+9= 80
80+11=91
So; the answer is: 56
6 0
4 years ago
Read 2 more answers
population of a small town of $10,800 2002 the population has decreased at a rate of 2.5% each year write an exponential functio
Julli [10]

Answer:

The population of the town of 2020 is approximately 6847

Step-by-step explanation:

The given population of the small town is 2002, P₀ = 10,800

The annual percentage decrease in the population, r = 2.5%

The date at which the new population,'P', is required = 2020

Therefore;

The number of years over which the population changes, 't', is given as follows;

t = 2020 - 2002 = 18

The number of years over which the population changes, t = 18 years

Given that the population is decreasing, we get;

The general formula for exponential decay is given as follows;

P = P_0 \cdot (1 - r)^t

Therefore, the population, 'P', of the town of 2020 which is in t = 18 years, is given as follows;

P = 10,800 \times(1 - 0.025)^{18} = 6847.10263915

Given that the population is given in whole numbers, we round down to the nearest whole number population of people as follows;

The population of the town of 2020, P ≈ 6847.

5 0
3 years ago
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