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Fofino [41]
3 years ago
14

Ten times the sum of half a number and 6 is 8

Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

The number we want to find is -10.4

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem.

Let :

The number = X

If ten times the sum of half a number and 6 is 8 , then :

10 \times ( \frac{1}{2} X + 6 ) = 8

( 10 \times \frac{1}{2} X ) + ( 10 \times 6 ) = 8

5 X + 60 = 8

5 X = 8 - 60

5 X = -52

X = -52 \div 5

\large {\boxed {X = -10.4} }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

amm18123 years ago
6 0
<span><u><em>Answer:</em></u>
The number is -10.4

<u><em>Explanation:</em></u>
Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

<u>Let's take this step by step:</u>
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

<u>Now we can solve for x as follows:</u>
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4

Hope this helps :)</span>
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