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Musya8 [376]
3 years ago
7

4) A 60 kg astronaut pushes against a 120 kg satellite with a force of 15 N. How much force does the satellite exert on the astr

onaut?
Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

30n

Step-by-step explanation:

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A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil
bixtya [17]

9514 1404 393

Answer:

  30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

  20x +50y = 30×60

  60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

  2x +5y = 180

  2x +3y = 132

Subtracting the second equation from the first gives ...

  2y = 48

  y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

  2x +5(24) = 180

  2x = 60 . . . . . . . . . . subtract 120

  x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

4 0
3 years ago
The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin
frez [133]

Answer: 2\dfrac13\text{ miles per hour}

Step-by-step explanation:

Given: Distance traveled by Smith = \dfrac23 mile.

Time taken = \dfrac27  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

=\dfrac23\div\dfrac27

\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}

Unit rate  = 2\dfrac13\text{ miles per hour}

6 0
3 years ago
the price of a shirt was $16. there is a price increase of 4%. which of the following expression gives the new price of the shir
FrozenT [24]

Answer:

$16.64

Step-by-step explanation:

$16 + 4% = $16.64

7 0
3 years ago
Draw TWO lines in each 90 degree angle, cutting each 90 into three equal angles.
Serga [27]

Answer:

I think the circles would be cut into eighths then.

Step-by-step explanation:

I hope this helps you! :D

3 0
2 years ago
What is the relative frequency of adults with tickets?
galben [10]
a) 0.34

Hope I helped! ( Smiles )
4 0
3 years ago
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