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2 years ago

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max and some friends shared the cost of a meal. The meal cost $51 and each person contributes $17. How many people share the cos

t meal?

1 answer:

stiv31 [10]2 years ago

5 0

Answer:

3 people

Step-by-step explanation:

$51/$17 = 3 people

- We know to start with $51 dollars because that is the total price of the meal.

- We also know each meal costs $17.

- Next, ask youself what we are trying to find? We are trying to find how many people are eating.

- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.

- $51/$17 = 3 people (whole cost/individual cost = # of people)

- To check this take 3 x 17 = 51 (Now we know it is correct)

- If you would like a further explanation please let me know.

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Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc

babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

$h = \frac {1} {2} gt ^ 2 + vo * t + h0$

Where,

<em>g: acceleration of gravity </em>
<em>vo: initial speed </em>
<em>h0: initial height </em>

For the first body:

$h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21$

For the second body:

$h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

By the time both bodies have the same height we have:

$h1 = h2\\$

$\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

Rewriting we have:

$\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50$

$\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21$

$\frac {19} {12} * t = 29$

Clearing time:

$t = 29 (\frac {12} {19})\\t = 18.31s$

Answer:

it takes 18.31s for the two window washers to reach the same height

6 0

2 years ago

Read 2 more answers

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

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2 years ago

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2 years ago

Two thirds of a straight angle

solniwko [45]

<u><em>Answer:</em></u>

Two thirds of a straight angle is 120°

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<u>First, we start by defining the straight angle:</u>

A straight angle is an angle whose measure is 180°

<u>Now,</u> we want to calculate two thirds of a straight angle

<u>To get that fraction</u>, we will multiply the measure of the straight angle by $\frac{2}{3}$

<u>This means that:</u>

$\frac{2}{3}$ of a straight angle = $\frac{2}{3} * 180 = 120$ degrees

Hope this helps :)

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Since you only have $400, you cannot buy the bike.

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