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Elenna [48]
3 years ago
10

A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than

jane is 78$
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0
First we define variables:
 x: Money Peter receives
 y: Money Paul receives
 z: Money Jane receives
 We write the system of equations:
 x / y = 13/12
 x / z = 13/7
 x = z + 78
 Solving the system we have:
 x = $ 169
 y = 156 $
 z = 91 $
 Answer:
 
Paul gets 156 $
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The height of the tree to the nearest tenth of foot is 20.5 ft

<h3>Right angle triangle:</h3>

A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

The side of the base triangle can be found using Pythagoras theorem.

c² = a² + b²

c² = 9.2² + 5.8²

c² = 84.64 + 33.64

c = 10.9 ft

using similar triangle ratio,

5.8 / 10.9 = 10.9 / x + 5.8

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x = 85.17 / 5.8

x = 14.6844827586

x = 14.7 ft

The height of the tree to the nearest foot is  14.7 + 5.8 = 20.5  ft

learn more on right angle triangle here: brainly.com/question/26909069

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2 years ago
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3 years ago
The length of a rectangle is 6 centimeters greater than the width. The area of the
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Answer:

Step-by-step explanation:

Width = w

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Area = 112 sq. cm

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w² +  14w - 8w -112 = 0

w(w + 14) - 8(w + 14)=0

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3 years ago
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Answer:

\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}

\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}

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