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antoniya [11.8K]
3 years ago
10

6 i Find the quotient. Write your answer as a fraction in simplest form. 7 2 10 E ES

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

9514 1404 393

Answer:

  -7/4

Step-by-step explanation:

Here, you can "invert and multiply" ...

  -\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\times\dfrac{5}{2}=-\dfrac{7\times5}{(5\times2)(2)}=\boxed{-\dfrac{7}{4}}

__

Alternatively, you can express each fraction using the same denominator, then find the quotient as the ratio of numerators.

  -\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\div\dfrac{4}{10}=-7\div4=\boxed{-\dfrac{7}{4}}

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Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa
djverab [1.8K]

9514 1404 393

Answer:

  78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

  180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

  d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

6 0
3 years ago
Savannah runs a day care center. Of the 12 children at the day care center, 3 of them are
sertanlavr [38]

Answer:

\frac{1}{4}

Step-by-step explanation:

3 out of 12 children at the day care center are 5-year-olds. So, the probability of a randomly selected child being a five-year old is \frac{3}{12}, or \frac{1}{4}.

6 0
3 years ago
a bag of potting soil costs $3 less than a flower pot. Ike paid $41 for 3 flower pots and 5 bags of soil. how much does one bag
Arada [10]
Cost of bag of soil = x-3 where x is the price of a flower pot
41=3x + 5(x-3)
41=3x + 5x -15
41=8x -15
41+15=8x
56=8x
56÷8=x
$7.00=x
5 0
3 years ago
Logarithms:
WITCHER [35]

Answer:

  • A) k = 18.75
  • B) R(0.8) = 161419
  • C) R(0.3) = 275

Step-by-step explanation:

<u>Given expression</u>

  • R(x) = 6*e^(kx)

A) <u>Given</u>

  • x = 0.04
  • R = 10

<u>Solving for k</u>

  • 10 = 6*e^(0.04k)
  • e^(0.04k) = 10/6
  • ln (e^0.04k) = ln (1.6666)
  • 0.04k = 0.51
  • k = 0.51/0.04
  • k = 12.75

B) <u>Given</u>

  • x = 0.8
  • R= ?

<u>The value of R(0.8) is:</u>

  • R(0.8) =
  • 6*e^(0.8*12.75) =
  • 6*e^(10.2) =
  • 161419  rounded

C) <u>Given</u>

  • x = 0.3
  • R = ?

<u>The value of R(0.3) is:</u>

  • R(0.3) =
  • 6*e^(0.3*12.75) =
  • 6*e^(3.825) =
  • 275 rounded
4 0
4 years ago
Last season, the Bombers hit 360 home runs. Reporters who cover the team believe that this year the team will hit 15% more home
rosijanka [135]

Answer:

D) 414

Step-by-step explanation:

Please refer to the attached image for explanations

3 0
4 years ago
Read 2 more answers
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