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Feliz [49]
3 years ago
5

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.

Mathematics
2 answers:
Trava [24]3 years ago
8 0

Answer:

8*3 = 24 + 28 = 52 total square feet

Step-by-step explanation:

The is painting at 8 sq m per hour

so A(t) = -8t +52

pentagon [3]3 years ago
7 0

Answer: The total area that he is painting is equal to 52m^2, The area that is given is the slope (8m^2/h) and the initial value of y(x) when x = 3 hours.

Step-by-step explanation:

The rate is 8 m^2 per hour. This means that in one hour, Hiro paints 8 m^2.

We know that he has 28 m^2 left to paint.

then we have that:

Y(3hours) = 28m^2

Then, we initially had a total area of:

Y(0) = 28m^2 + 3*8m^2 = 52 m^2

Where the thing i did is add the area he has left and the area he painted in the 3 hour he was painting.

The total area of the room is 52m^2

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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
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Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
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  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

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  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

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y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

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