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Anna [14]
3 years ago
12

The three sides of a triangle are n, 3n + 5, and 4n − 9. If the perimeter of the triangle is 68 feet, what is the length of each

side?
Mathematics
1 answer:
MissTica3 years ago
5 0
4n - 9 + 3n + 5 + n = 68

combine like terms

8n - 4 = 68

addition property of equations

8n = 72

division property of equality

n = 9

SIDES:

n = 9

3n + 5 = 32

[ 3(9) + 5 = 32 ]

4n - 9 = 27

[ 4(9) - 9 = 27 ]
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Step-by-step explanation:

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2 years ago
F almonds sell for $1.20 per pound, and walnuts sell for $.75 per pound, how many pounds of each must be used to make 45 pounds
lukranit [14]

Answer:

Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

Step-by-step explanation:

i) let x be the the number of pounds of almonds

ii) let y be the number of pounds of walnuts

iii) therefore x + y = 45 pounds of the mixture

iv) 1.2x + 0.75y = 1.00 \times 45 = 45

v) Multipling equation in iv) by 4 we get

  4.8x + 3y = 180

vi) multiplying equation in iii) by 3 we get

     3x + 3y = 135

vii) subtracting equation vi) from equation v)  we get 1.8x = 45

ix) therefore we get x = 45/1.8 = 25 pounds of almonds

x) therefore 25 + y = 45  .... substituting value of x from ix) in iii) we get

   therefore y = 20 pounds of walnuts

Therefore option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

7 0
3 years ago
Can someone help pls.
kap26 [50]

<em>My goodness, this is rather confusing in the way it is worded. Nevertheless, I will attempt to do what I can. Just please keep in mind that this is my own interpretation of the problem, and therefore could be... incorrect.</em>

<em>I think, to start out, we could set up the problem like so</em>

<em>15 + t ≥ 26</em>

<em>because t is not a set number. </em>

<em>Then all that is needed is to subtract 15 from both sides, and the equation becomes</em>

<em>t ≥ 11</em>

<em>So the resulting answer is t ≥ 11.</em>

<em />

<em>I hope that my interpretation helps.</em>

<em>-Toremi</em>

<em />

8 0
2 years ago
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What is the approximate area of a circle with a diameter of 28 centimeters? Use π = 3.14.
larisa [96]
Formula is π * r^2

π = about 3.14 and the radius is half of the diameter so 28/2 = 14

3.14 * 14^2 = 615.44

B

8 0
3 years ago
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Difference between purchase book and sales book​
tigry1 [53]
A purchase is one where you purchase it and sales is one you sell :)

Hope that helped!
4 0
3 years ago
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