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Ahat [919]
4 years ago
14

A natural no has been divided into 2 parts in the ratio 5:9. f the difference of the parts is 24, find the no. and the 2 parts.

Mathematics
1 answer:
natta225 [31]4 years ago
7 0

Answer:

84; 30 and 54

Step-by-step explanation:

9x-5x=24

4x=24

x=6

5*6=30

9*6=54

30+54=84

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The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height
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Answer:

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Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

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         b² = 16

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6 0
4 years ago
4(x-6)&lt;-2x+6 what is the solution to the inequality <br> _
Cloud [144]
Simplify both sides if needed. The left-hand side needs simplification.

4(x - 6) \leq -2x + 6
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All is left to do is add and subtract to get the x variable all alone.

4x - 24  \leq -2x + 6
6x - 24  \leq  6    <-- Add 2x to both sides
6x         \leq  30  <-- Add 24 to both sides 
x           \leq 5    <-- Divide both sides by 6

In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)
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Answer: options two and three

Step-by-step explanation: have a great day!

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If I am right the answer would be 6
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Flora has saved $4 less than twice the amount Jason has saved. Together they have $44. How much has each person saved?
shusha [124]

Answer:

$20

Step-by-step explanation:

$44 - $4 = 40

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