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gayaneshka [121]
3 years ago
11

On Aaron’s farm, 1/10 of the animals are cows, ⅖ of the animals are chickens,

Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

There are 5 pigs on Aaron's farm

Step-by-step explanation:

1. Start with 40 animals

2. 1/10 of the animals are cows, so divide 40 by 10 and you will find that 4 of the animals are cows

3. 2/5 of the animals are chickens, so multiple 40 by 2 to get 80 and then divide 80 by 5 and you will find that 16 of the animals are chickens

4. Subtract the 4 cows and 16 chickens from the 40 total animals and you find there are 20 more animals that are neither cows nor chickens

5. Of the 20 remaining animals, 1/4 are pigs, so divide 20 by 4 and you will find that there are 5 pigs

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If the scale factor is 5/3 what is the width of the new rectangle?
vlada-n [284]

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

7 0
2 years ago
After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms
Anton [14]

Answer:

  • k = 0.006
  • T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

  (31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

  (t/35)ln(31/38) = -kt

  k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

  k ≈ 0.006

Using this in the equation for temperature, we have ...

  T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

  T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

  T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0
2 years ago
39 ft/min= ____ yd/s explain your reasoning
givi [52]

Answer:13 yards

Step-by-step explanation:

There are 3 feet in one yard 39 divided by 3 is 13. So 39 feet is 13 yards

6 0
2 years ago
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A hotel manager is adding a tile border around the​ hotel's rectangular pool. Let p represent the width of the​ pool, in feet. T
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Step-by-step explanation:

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2 years ago
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Function f is shown on the graph below where two points are marked. If function f is horizontally compressed by a factor of 2, p
lilavasa [31]

Answer:

If you have    

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The point  (2,4)   would be transformed to (1,1)

Step-by-step explanation:

If your compression is horizontal then the transformation you are making is the following

g(x)  = f(x/2)

Therefore, if you have    

f(x) = x^2

The point  (2,4)   would be transformed to (1,1)

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