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irakobra [83]
2 years ago
9

A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

the capacity of the container
Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds,  that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

\frac{x}{6} = \frac{2}{3}

Dividing both sides by 1/6, we get

\frac{x}{6} ÷ \frac{1}{6} = \frac{2}{3} ÷\frac{1}{6}.

Therefore,  x = \frac{2}{3} ÷\frac{1}{6}

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.


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Use the formula s=32, 512(1.10)^t to calculate your salary after 2 years. Round your answer to the nearest dollar.
Amiraneli [1.4K]

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

s = $39,340

<em><u>Explanation:</u></em>

Note: I will use the symbol "n" instead of "t" in the solution.

<u>The given formula is:</u>

s = 32,512 * (1.1)ⁿ where "n" is the number of years.

We want to get the salary after 2 years. This means that we will substitute with n = 2 in the above equation and get the value of s.

<u>This is shown as follows:</u>

s = 32,512 * (1.1)²

s = $39,339.52 which is approximately $39,340

Hope this helps :)

8 0
3 years ago
The intensity of a sound varies inversely where of its distance from the source at a distance of 1 meter the intensity of a jet
xz_007 [3.2K]

Answer:

  1/250 W/m² or 0.004 W/m² or 4 mW/m²

Step-by-step explanation:

The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...

  (1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²

This might be more conveniently written as 4 mW/m².

4 0
3 years ago
Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stutted
STatiana [176]

v + m = 32 and v = 5 + 2m are the equations that are used  to determine m, the number of stuffed animals Mariposa has

Number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

<h3><u>Solution:</u></h3>

Let "v" be the number of stuffed animals with Veronica

Let "m" be the number of stuffed animals with Mariposa

Given that,

Together, they have 32 stuffed animals

Therefore,

v + m = 32  --------- eqn 1

Veronica has 5 more than double the number of stutted  animals as her friend Mariposa

Therefore,

Number of stuffed animals with Veronica = 5 + 2(number of stuffed animals with Mariposa)

v = 5 + 2m ---------- eqn 2

Thus eqn 1 and eqn 2 can be used to determine m, the number of stuffed animals Mariposa has

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

5 + 2m + m = 32

5 + 3m = 32

3m = 32 - 5

3m = 27

<h3>m = 9</h3>

Substitute m = 9 in eqn 2

v = 5 + 2(9)

v = 5 + 18

<h3>v = 23</h3>

Thus number of stuffed animals Mariposa has is 9 and number of stuffed animals with Veronica is 23

5 0
3 years ago
Problem 3
Murljashka [212]

Answer:

-\frac{2}{5}

Step-by-step explanation:

Given expression:

           2x + 5y = -10

The equation of a straight line is;

            y = mx + c

y and x are the coordinates

m is the slope

c is the intercept

 Now;

          let us write the given expression in slope intercept format;

            2x + 5y  = -10

                    5y = -2x - 10

                     y = -\frac{2x}{5}  - 2

So, the slope of the line is -\frac{2}{5}

8 0
2 years ago
How long was the movie
Nikitich [7]
A. 2 hours and 25 minutes
4 0
3 years ago
Read 2 more answers
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