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3 years ago

Three consecutive natural numbers have a sum of 36. What is the greatest number?

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

It's 12 because if you divide 36 by 3 (consecutive) it equals 12

aleksandr82 [10.1K]3 years ago

3 0

If you have three of them, they go in order: 2, 3, 4 and so on.

If the lowest is X then the next two are x + 1 and x + 2. 

Though the question asks you to look for the highest, so I'll call that x, so the other two become "x - 1" and x - 2

So if we add them up to get 36, we get: 

x + (x - 1) + (x - 2) = 36 

Solving for x: 

3x - 3 = 36 
3x = 39 
x = 13

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2 years ago

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2 years ago

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt

Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

$\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1$

solve for x

Find the Least Common Multiple of denominators

$LCM=(2^2)((3)(5)=60$

Multiply both sides by 60

$\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60$

simplify

$15+10+12+60x=60$

$60x=60-37\\60x=23\\x=\frac{23}{60}$

therefore

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3 years ago

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kherson [118]

Answer:

(1/2)x - y = -2

General Formulas and Concepts:

Pre-Alg

Equality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Standard Form: Ax + By = C

Step-by-step explanation:

Step 1: Define equation

Slope-Intercept Form: 2 + (1/2)x = y

Step 2: Find Standard Form

Rewrite: y = (1/2)x + 2
Subtract 1/2x on both sides: y - 1/2x = 2
Factor negative: -(1/2x - y) = 2
Divide both sides by -1: 1/2x - y = -2

6 0

3 years ago