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Luba_88 [7]
3 years ago
15

Find the constant of direct variation when x = 3 and y = -12​

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

constant = b = -15

Step-by-step explanation:

3 + b = -12

b = -12 - 3

b = -15

You might be interested in
james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number
zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0
3 years ago
Which pair of numbers are equivalent? 0.65% and 65100.65% and 65 tenths 0.7 and 7% 0.7 and 7% 0.5 and 150.5 and 1 fifth 0.02 and
N76 [4]

Step-by-step explanation:

ekfdjisksox9xjfnskosidbd

6 0
3 years ago
Jake went to a fair and spent $5 on admissions, $6.50 on games, and $7.21
asambeis [7]

Answer:

Jake has <em>$11.29 </em>dollars left.

Step-by-step explanation:

To find the answer, we will add up<em> $5 + $6.50 + $7.21</em> and we get<em> $18.71</em>.  Now <em>subtract $30 from 18.71</em>, which is <em>$11.29</em>.  Therefore, <em>Jake has $11.29 dollars left.</em>

8 0
3 years ago
The population of a rabbit colony triples each month.
djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

P(t) = P(0)(3)^t

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that P(0) = 5

So

P(t) = 5(3)^t

How many rabbits are there after 6 months?

This is P(6). So

P(6) = 5(3)^6 = 3645

3645 rabbits after 6 months.

3 0
3 years ago
Which table represents y as a function of x?​
tankabanditka [31]

Answer:the top right

Step-by-step explanation:

it only has one y per x

7 0
3 years ago
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