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2 years ago

Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.

Mathematics

1 answer:

Alchen [17]2 years ago

8 0

Given:

The equation is

$1.5x+4.5y=18$

To find:

The y-intercept (in ordered pair).

Solution:

We have,

$1.5x+4.5y=18$

Putting x=0, we get

$1.5(0)+4.5y=18$

$0+4.5y=18$

$4.5y=18$

Divide both sides by 4.5.

$y=\dfrac{18}{4.5}$

$y=4$

So, y-intercept is 4.

Therefore, the graph intersect the y-axis at (0,4).

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Evaluate the numerical expression. −8.1 – 3.5 ÷ (−0.5)

beks73 [17]

The answer is -1.1
Hope you get it right

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2 years ago

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

Find the value of the constant of proportionality k

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

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 label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to

sergejj [24]

Answer:

-40 < t < 284

Step-by-step explanation:

The antifreeze protects the car between −40°C and 140°C.

Using t for temperature, the compound inequality of the Celsius temperature range is:

-40 < t < 140

The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.

C = (5/9)(F - 32) <------ conversion formula from deg F to deg C

Solve for F:

(9/5)C = F - 32

(9/5)C + 32 = F

F = (9/5)C + 32 <------ conversion formula from deg C to deg F

Now we convert -40 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(-40) + 32

F = -72 + 32

F = -40

-40 deg C = -40 deg F

(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)

Now we convert 140 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(140) + 32

F = 252 + 32

F = 284

140 deg C = 284 deg F

Now we rewrite the compound inequality with Fahrenheit temperatures.

-40 < t < 284

4 0

1 year ago

The rocks near the shore between two lighthouses at points A and B make the waters unsafe. The measure of arcAXB is 300. Waters

belka [17]

As a navigator of this ship, you must consider the measure of the arc. Using the distance between the two lighthouses and the arc measurement, you can find the radius and center of the circle to set a reasonable distance in keeping the ship in safe waters.

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2 years ago

The graph below represents the possible dimensions of a horse corral to be constructed behind a barn. The width of the corral is

alexira [117]

Answer:

I think its C

Step-by-step explanation:

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2 years ago