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denpristay [2]
3 years ago
7

to fill a coffee mug at a local shop costs $2.50. the shop sells coffee beans foe $12 per pound. each pound makes enough coffee

to fill the mug 100 times. approximately how many times greater is the cost of drinking the coffee at the local shop compared to drinking at home?
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

There are a few possible answers so read explanation, but the one I will put up here is:

20.83

Step-by-step explanation:

First you have to find how much 100 cups of coffee costs in store.

To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.

To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....

We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:

  1. 20.83
  2. 20.8
  3. 21

Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.

Hope this helps

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A certain population of mice is growing exponentially. After one month there are 48. After 2 months there are "192" mice. Write
REY [17]

Answer:

P(t) = 12e^1.3863k

Step-by-step explanation:

The general exponential equation is represented as;

P(t) = P0e^kt

P(t) is the population of the mice after t years

k is the constant

P0 is the initial population of the mice

t is the time in months

If after one month there are 48 population, then;

P(1) = P0e^k(1)

48 = P0e^k ...... 1

Also if after 2 months there are "192" mice, then;

192 = P0e^2k.... 2

Divide equation 2 by 1;

192/48 = P0e^2k/P0e^k

4 = e^2k-k

4 = e^k

Apply ln to both sides

ln4 = lne^k

k = ln4

k = 1.3863

Substitute e^k into equation 1 to get P0

From 1, 48 = P0e^k

48 = 4P0

P0 = 48/4

P0 = 12

Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;

P(t) = 12e^1.3863k

This gives the equation representing the scenario

8 0
3 years ago
Write the following coordinates where they belong in the line segments below. Consider the graph below. Which of the following c
GREYUIT [131]

Answer:

The option B (4 5/8,-2 3/4)  = (4.6 , -2.75) will be the coordinates belonging in the box.

Step-by-step explanation:

A.(4 3/4,-3 3/4) = (4.75,-3.75)

B.(4 5/8,-2 3/4)  = (4.6 , -2.75)

C.(4 1/4,-5 1/2)  = (4.25, -5.5)

D.(4 1/8,-2 3/5) = (4.125, -2.6)

The first point of line segment is: (5.5, -4.25)

second will be (4.75,-3.75)

third will be (4.6 , -2.75)

fourth will be (4.125, -2.6)

and fifth is  (3.75,-1.25)

The option C is not correct i.e not included in line segment.

The option B will be the coordinates belonging in the box.

5 0
3 years ago
Read 2 more answers
Can someone please help me with these? It's pretty straightforward, yet I don't fully understand. Please help me
skad [1K]

Answer:

1. 1.3608 or 1.36 Ton    2. 9259.42 but 9259 also works pounds  3. 56 pints   4. 3.9

Step-by-step explanation:

1. 1.3608 or 1.36 Ton    2. 9259.42 but 9259 also works pounds  3. 56 pints   4. 3.9

6 0
3 years ago
Reuben and Susan each opened a savings account today. Reuben opened his account with a starting amount of 320, and he is going t
navik [9.2K]
X represents the amount of money added in

320+85x=820+35x


3 0
2 years ago
Find the area of this shape.<br><br><br><br> The area of the shape is <br> square centimeters.
aniked [119]

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=<u>23</u>

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4</u>.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=<u>8</u>  

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

7 0
4 years ago
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