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Dmitry_Shevchenko [17]
2 years ago
5

A botanist transplanted a plant that

Mathematics
1 answer:
KengaRu [80]2 years ago
3 0

Linear equation of plant height is h = (1/2)w + 3

Given:

Height of experimental plant = 3cm

Average growth = 0.5 cm per week

Find:

Linear equation of plant height

Computation:

Given;

h = Plant height

w = number of weeks

So,

Plant height = Height of experimental plant + (Average growth)(number of weeks)

h = 3 + (0.5)(w)

h = (1/2)w + 3

Option "J" is the correct answer to the following question.

Learn more:

brainly.com/question/14342708?referrer=searchResults

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
What is the ratio of 8 to 19​
yuradex [85]
42.105263157895 I hope this is the what u wanted
7 0
3 years ago
There are 12 people in a class. 10 are randomly chosen. How many possible combinations are there?
Mazyrski [523]

long way

12 x 11 x 10 x 9 x 8 x 7 x6 x5 x4 x3x2/ 10x9x8x7x6x5x4x3x2x


but you can shorten that by crossing out identical numbers so you get 12 x 11

12 x 11 = 132 combinations

3 0
3 years ago
2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m
sleet_krkn [62]

Answer:

5 and 18

Step-by-step explanation:

The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.

6 0
3 years ago
Kyle has a container of flour in the shape of a cylinder. The container has a diameter of 10 inches and a height of 8 inches. If
Anna [14]
81.7 ounces or 5.11 pounds, work is shown above if you need to show your work.

8 0
3 years ago
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