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earnstyle [38]
3 years ago
14

Suppose you are determining the growth rate of two species of plants. Species A is 25cm tall and grows 3cm per month Species B i

s 10 cm tall and grow 8cm per per month which system of equations models the height of each species H(d) as a function of days d.
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

There are about 30 days in each month. with that in mind, we can say Species A grows about 3cm/30days and Species B grows 8cm/30days. As a function of days "d" we can say Species A grows at a rate of (3/30)d and Species B at (8/30)d.

*Notice how when d = 30, it reflects one month of growth for each.

And since each plant had some height already, we can write two equations like this:

  • Species A; H(d) = (1/10)d + 25
  • Species B; H(d) = (8/30)d + 10

*Just in case you didn't see it, (3/30) can be reduced to (1/10); which is what I did above.

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150 - x = 87 what does x equal here ?
Ainat [17]

Answer:

x=63

Step-by-step explanation:

<em>Subtract by 150 from both sides of equation.</em>

<em>150-x-150=87-150</em>

<em>Simplify.</em>

<em>87-150=-63</em>

<em>-x=-63</em>

<em>Divide by -1 from both sides of equation.</em>

<em>-x/1=-63/-1</em>

<em>Simplify, to find the answer.</em>

<em>-63/-1=63</em>

<em>x=63 is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day!</em>

5 0
3 years ago
Read 2 more answers
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 33
tigry1 [53]
<h3>Answer:</h3>
  • A: 7 inches
  • B: 6 inches
<h3>Step-by-step explanation:</h3>

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

... 3A +2B = 33 . . . . . total length of Marta's fish

... 3A +4B = 45 . . . . . total length of Hank's fish

Subtracting the first equation from the second, we get ...

... 2B = 12

... B = 6 . . . . . divide by 2

Using this value in the first equation, we have ...

... 3A + 2·6 = 33

... 3A = 21 . . . . . . . . subtract 12

... A = 7 . . . . . . . . . . divide by 3

Fish A is 7 inches long; fish B is 6 inches long.

6 0
3 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
2x+5y=60 <br> 2x-5y=-20<br><br><br> Please show work!
sergejj [24]
 (2x+5y=60)
- (2x-5y=-20)
-------------------
10y=80
y=8 


2x+5(8)=60
2x+40=60 
2x=20
x=10


8 0
3 years ago
Use the given information to determine if TU ||QS.<br> Answer with a simple yes or no.
AfilCa [17]

Answer:

I would pick no, because when u do the math

8 0
2 years ago
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