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Marina CMI [18]
2 years ago
15

A bean plant grows at a constant rate for a month. After 10 days, the plant is 25 centimeters tall. After 20 days, the plant is

45 centimeters tall. Which equation models the height of the plant, y, after x days?
Mathematics
1 answer:
wariber [46]2 years ago
5 0
Y = 2x + 5

If you take the height at 10 days, 25 centimeters, after 10 more days the height is 45 centimeters, meaning for those 10 extra days the been plant grown 20 centimeters. Since we're told the plant is growing at a constant rate, this shows the bean plant is growing 2 centimeters per day. We can represent this with y = 2x. (After 10 days, the bean plant will be 20 centimeters, after 20 days, the bean plant will be 40 centimeters, etc.)

However, this is not completely true yet. As you can see, after the first 10 days the plant is not 20 centimeter, it's 25 centimeters. We already know the rate in which the plant is changing, but now we need to find the height that the plant was originally, before it started growing.

After the first 10 days, the plant is 25 centimeters tall. Since we know that the plant is growing 2 centimeters per day, we can subtract 20 from 25 to find the original height of the bean plant.

25 - 20 = 5
The bean plant was originally 5 centimeters.

This makes our final equation y = 2x + 5.
2x is the slope, and 5 is the y intercept.

Hope this helps1!
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ziro4ka [17]

Ben drinks 1,050 liters of tea every 6 days.

<h3>How many liters of tea does Ben drink every 6 days?</h3>

Convert the object's dimensions into centimeters before performing the volume calculation in liters. Next, determine a shape's volume using the volume formula. The metric unit for measuring volume or capacity is the liter (or liter). Liters are a standard unit of measurement frequently used to measure liquids.

Divide Bens daily tea usage by the number daily tea usage rate.

Ben the camel drinks tea ( so classy ).

He drinks 350 liters of tea every 2 days.

liters (Volume) = usage times /days

350 × (6/2)

= 350 × 3

= 1,050 liters of tea does Ben drink every 6 days.

As a result, Ben drinks 1,050 liters of tea every 6 days.

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1 year ago
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1
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Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

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Ivahew [28]

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1.04

Step-by-step explanation:

8.04 - 7 = 1.04

I hope this helps!

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A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.
vodomira [7]
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 ​people, while each carton of c
lutik1710 [3]

Answer:

  233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

  40f +25c ≤ 21000

The other expresses the limit on volume.

  20f + 5c ≤ 7000

_____

<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

  5(20f +5c) -(40f +25c) = 5(7000) -21000

  60f = 14000

  f = 233 1/3

The second boundary line equation can be rearranged to find c:

  c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

  (f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

  • 40·233 +25·467 = 20,995 < 21000
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<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

  p = 13f + 6c

The values of p at the vertices are ...

  p = 13·233 + 6·467 = 5831

  p = 13·0 + 6·840 = 5040

  p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

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