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german
3 years ago
11

Use the graph to determine and interpret the solution. A 4 cm bean plant grows at a rate of 1/2cm per week. A 5.5 cm flower grow

s at a rate of 1/4cm per week. If h is the height of the plant in centimeters and t is the number of weeks, then the system of equations is:
h = 1/2t + 4
h = 1/4t + 5.5
The solution to the system,___?___
, means that the plants will both be ___?___ centimeters tall after__?___weeks.
Mathematics
2 answers:
Novosadov [1.4K]3 years ago
6 0
1/2t + 4 = 1/4t + 5.5
1/2t - 1/4t = 5.5 - 4
2/4t - 1/4t = 1.5
1/4t = 1.5
t = 1.5 x 4
t = 6

h = 1/2t + 4
h = 1/2(6) + 4
h = 3 + 4
h = 7

solution is (7,6)
means that the plants will both be 7 cm tall after 6 weeks

Nuetrik [128]3 years ago
5 0

Answer:

(6,7)    7    6

Step-by-step explanation:

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3 0
3 years ago
A) average of p and 10 is 16,p=?<br>b) average of z and 12 is 10,z=?​
Ahat [919]

Answer:

p = 22

z = 8

Step-by-step explanation:

Average is sum of the terms divided by number of terms.

<u>Question # 1:</u>

Given that:

\displaystyle \frac{p+10}{2} = 16\\\\Multiply\ both\ sides\ by \ 2]]\\ p+10 = 2 \times 16\\\\p+10 = 32\\\\Subtract \ 10\ to \ both \ sides\\\\p = 32-10\\\\p = 22

<u>Question # 2:</u>

Given that:

\displaystyle \frac{z+12}{2} = 10\\\\Multiply \ both \ sides \ by \ 2\\\\z+12 = 10 \times 2\\\\z+12 = 20\\\\Subtract \ 12\ to \ both \ sides\\\\z = 20-12\\\\z = 8\\\\\rule[224]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
5 0
3 years ago
Please answer asap. pretty sure I know the answer just need to be certain.
astra-53 [7]
  • Answer:

<em>p = 4$</em>

  • Step-by-step explanation:

<em>p + 25%p = $5</em>

<em>p + 25p/100 = 5</em>

<em>⁴⁾p + p/4 = ⁴⁾5</em>

<em>4p + p = 20</em>

<em>5p = 20</em>

<em>p = 20 : 5</em>

<em>p = 4$</em>

4 0
3 years ago
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