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2 years ago

A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

4 0

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

Give your answer in minutes.

Illusion [34]

In an hour there are 60 minutes.

6:38 PM + 22minutes = 7 PM
From 7 PM to 7:23 PM there are 23 minutes

So, (23 + 22) minutes = 45 minutes.

5 0

1 year ago

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What name is given to the price dealerships pay for vehicles

german

Answer:

The answer is...

Step-by-step explanation:

Cost

4 0

2 years ago

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Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $32. At another store she can

puteri [66]

Answer:

32 tiles

Step-by-step explanation:

32+0.69*n= 32.69

32.69*n= 32.69n-0.69

=32

7 0

2 years ago

In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one

Ymorist [56]

Let's see all the steps:
1) operation : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.

So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!

5 0

3 years ago

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