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Viefleur [7K]
3 years ago
14

Simplify the expression: (1 2/7)(-4 1/5)

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

-27/5 or -5 2/5

Step-by-step explanation:

Simplify

1 2/7 to 9/7

-4 1/5 to -21/5

multiply together

(9)(-21)/(7)(5)

-189/35

u can simplify by diving by 5 to get

-27/5

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Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

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3 years ago
Steven made snack mix he used 1/4 cup of raisins and 2/4 cups of nuts to make 1 serving how many cups to make 5 servings
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1 and 1/4 cup of raisins and 2 and 1/2 cups of nuts for a total of 3 and 3/4 cups.
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

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Hence,

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