Dennis can load the car in 28 min. If Andy helps him it takes 21 min to load the car how long will it take Andy alone?

The patient's weight is first converted from lbs to kg, resulting in 100 kg. The dosage in micrograms per hour is then found to be 42000 mcg/hour. Lastly, this is converted to milligrams to give a final dosage of 42 mg/hour.

This is a question pertaining to medical dosage calculations. First, we need to convert the patient's weight from pounds to kilograms since our dosage is based on that unit. We know that 1 kg equates to approximately 2.2 lbs. So, the patient's weight in kilograms would be 220 lbs/2.2 = 100 kg.

Now, we can use the patient's weight to find the dosage per minute: 7 mcg/kg/min * 100 kg = 700 mcg/min. But the question asks for the dosage per hour, so we must convert minutes to hours: 700 mcg/min * 60 min/hour = 42000 mcg/hour. Finally, we need convert from mcg to mg as the question asked for the amount in milligrams. Since there are 1000 mcg in 1 mg, the dosage becomes: 42000 mcg/hour / 1000 = 42 mg/hour.

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The current population of Australia is 24 million.

It is given to us that the initial population was 23.13 million and the population 5 year later has grown by 870000 or 0.87 million. Thus to find the current population we simply need to add the initial population and the growth that has happened in 5 years. This gives us:

[tex]Current\ population = 23.13\ million + 0.87\ million = 24\ million[/tex]

Thus, the current population of Australia is 24 million.

Answer: The answer is b) 77.5

Step-by-step explanation:

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The line PQ will also dilate using a scale factor of 1/2 and length becomes PQ/2.

Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.

Given that,

A square is RSTU.

Also, a line PQ drawn through the center.

When the square is dilated using a scale factor of 1/2,

The line that is drawn through the center will also be dilated.

Hence, the line PQ will be dilated by 1/2,

And the length of line will be PQ/2.

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Madeline has approximately $400 after rounding her garage sale earnings and paycheck to the nearest ten and adding them together.

The question involves estimating the total amount of money Madeline has after selling items at a garage sale and receiving her paycheck. To estimate the total amount, we need to round each amount to the nearest ten and then add the rounded numbers together.

First, round $167 to the nearest ten, which is $170.

Next, round $232 to the nearest ten, which is $230.

Finally, add the rounded numbers: $170 + $230 = $400.

The blue area covers 225π square feet.

The area of the circular pool:

Radius (r) = Diameter/2 = 30 feet / 2 = 15 feet

Area = πr^2 = π(15 ft)^2 = 225π square feet

Thus, the total area painted blue is:

225π square feet

The original weight of the crackers in the box is 15/16 pound.

The question asks us to determine the original weight of a box of crackers, given that 5/8 pound of crackers was served, which was 2/3 of the entire box.

We can set up the proportion by stating that 5/8 pound represents 2/3 of the whole, so let's represent the total weight of the crackers with the variable 'w'. The equation to represent this situation is (5/8) pound = (2/3) * w.

To solve for 'w', we'll multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(5/8) * (3/2) = w

Simplifying this equation gives us the total weight:

(5 * 3) / (8 * 2) = w

15 / 16 = w

w = 15/16 pound, which is the original weight of the crackers in the box.

Answer:

B: (4, –1)

Step-by-step explanation:

The quintic polynomial is [tex]3x^5+7x^2-9x^4[/tex]. Therefore, option C is the correct answer.

A quintic function is defined by a polynomial having highest degree five. A trinomial is defined as a polynomial having three terms. Therefore, a quintic trinomial refers to a polynomial having three terms with a highest power five.

Here, the polynomial [tex]3x^5+7x^2-9x^4[/tex] has the highest power 5.

So, the polynomial [tex]3x^5+7x^2-9x^4[/tex] is a quintic polynomial.

The quintic polynomial is [tex]3x^5+7x^2-9x^4[/tex]. Therefore, option C is the correct answer.

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The speed of the plane in still air is 605 miles per hour and the wind speed is 55 miles per hour. This is found through solving simultaneous equations derived from the given distance, and time taken both with and against the wind.

In this problem, the plane's speed in still air can be denoted as 'p' and the wind speed as 'w'. Given the total distance of the trip as 3300 miles, the total time with the wind as 5 hours, and the total time against the wind as 6 hours, we can create two equations: p + w = 3300/5 = 660 miles/hour (with the wind) and p - w = 3300/6 = 550 miles/hour (against the wind).

These equations can be solved simultaneously to get the values of 'p' and 'w'. By adding the two equations, we get 2p = 660 + 550 = 1210. Dividing by 2 gives p = 605 miles/hour. With the value of 'p' we can find 'w' by substituting p = 605 into either of the original equations (let's use p - w = 550): 605 - w = 550, which leads to w = 55 miles/hour.

So, the speed of the plane in still air is 605 miles per hour and the speed of the wind is 55 miles per hour.

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Given Lucy has a strawberry lace that is 36cm long.

The question is asking to convert 36 cm to mm.

1 centimeter is equal to 10 millimeters: 1 cm = 10 mm.

The distance 36 in millimeters (mm) is equal to the distance 36 in centimeters (cm) times 10

36 cm = 36x 10=360 mm

36 cm converted to mm is 360 mm.

The strawberry lace that is 36cm long in mm is equal to 360 mm.