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navik [9.2K]
3 years ago
15

A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give a

way supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families
Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

<h2>195 plants (verified) ✅</h2>

Step-by-step explanation:

We will use a proportion to solve this.

x/y = x/y

let x = the number of families in each case

let y = the number of plants in each case

Since we don't know the second y, we will leave that as y and solve for it.

50/150 = 65/y

Cross-multiply

50y = 9750

Divide

195  = y

Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.

50 (195) = 9750

9750 = 9750 ✅

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What is the geometric definition of a circle
Mazyrski [523]

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See explanation

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3 0
3 years ago
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The perimeter of triangle rxa is 24. if rx= 4 and ra= 11, find xp and pa
BigorU [14]
Answer:
PA = 6.6 units
XP = 2.4 units

Explanation:
1- We are given that:
perimeter of RXA = 24 units
RX = 4
RA = 11
This means that:
XA = 24 - 4 - 11 = 9 units

2- For XA:
XA = XP + PA
XA = 9 units
This means that :
XP + PA = 9 units
XP = 9 - PA 

3- Triangle angle bisector theorem:
"In a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides"

Applying this to the given triangle, we can set the ratio as follows:
\frac{XP}{PA}  =  \frac{XR}{AR}

We have:
XP = 9 - PA 
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4- Substitute with the givens in the above ratio and solve for PA as follows:
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11(9-PA) = 4(PA)
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PA = 99/15
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5- Substitute to get XP as follows:
XP = 9 - PA
XP = 9 - 6.6
XP = 2.4 units

Hope this helps :)
6 0
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