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1 year ago

The linear plot shows how water pressure changes as a diver's depth increases. What is the best

Mathematics

2 answers:

vazorg [7]1 year ago

4 0

Answer:

Step-by-step explanation:

It would be A, the first one.

Darina [25.2K]1 year ago

3 0

Answer:

Step-by-step explanation:

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The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va

kow [346]

Answer:

$16\ acres$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

<em>Find the value of the constant of proportionality k</em>

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{551,520}{20}=\$27,576\ per\ acre$

The linear equation is equal to

$y=27,576x$

Find out how many acres are on a farm with a total operating cost of $441,216

For y=$441,216

substitute in the linear equation the value of y and solve for x

$441,216=27,576x$

$x=441,216/27,576$

$x=16\ acres$

5 0

2 years ago

Read 2 more answers

The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values

goldenfox [79]

99.7% encompasses about 3 standard deviations either side of the mean.

82 ±3*2 = (76, 88)

About 99.7% of the values lie between 76 and 88.

5 0

1 year ago

Read 2 more answers

Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each

Anton [14]

The school can buy fifteen notebooks and nineteen tablets. 15X7=105 and 5X19=95. 95+105=200. The first thing you want to do is realize that 5Xanything will give you an answer that has a 0 or a five at the end, so you want to find a product by 7 that ends with a 0 or 5 too.

4 0

2 years ago

The ratio of boys to girls in Mr. Castillo's

Nady [450]

24 can not be the total number of students in Mr. Castillo's class.

I'm assuming that your answer options are 20, 24, 25, and 30.

out of this set of numbers, 24 can not be divided by 5 (without getting a decimal)

7 0

2 years ago

Read 2 more answers

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15

daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X = 40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0

1 year ago