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

Answers

Answer 1

Answer: Answer:
The number is -10.4

Explanation:
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

Let's take this step by step:
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

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

Hope this helps :)

Answer 2

Answer:

The number we want to find is -10.4

Further explanation

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 :

m → gradient of the line

( 0 , c ) → y - intercept

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

$\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}$

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 :

$10 * ( (1)/(2) X + 6 ) = 8$

$( 10 * (1)/(2) X ) + ( 10 * 6 ) = 8$

$5 X + 60 = 8$

$5 X = 8 - 60$

$5 X = -52$

$X = -52 / 5$

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

Learn more

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

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

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WHAT is the answers to 2a 2b and 2c ?

Answers

a). The shape has 5 sides. The inside angles of every 5-sided shape (pentagon) add up to 540 degrees. The 3 angles given add up to (110 + 109 + 100) = 319 . The two leftover angles add up to (540 - 319) = 221 degrees. They're not equal, so we can't tell how the 221 breaks down between them. b). The shape has 4 sides. The inside angles of every 4-sided shape add up to 360 degrees. The 3 angles given add up to (85+ 92 + 93) = 270 degrees. The fourth angle is (360 - 270) = 90 degrees, even though it doesn't look like it. c). The shape has 6 sides. The inside angles of every 6-sided shape add up to 720 degrees. The 4 angles given add up to (120 + 110 + 105 + 110) = 445 degrees. The two leftover angles add up to (720 - 445) = 275 degrees. They're not equal, so we can't tell how the 275 breaks down between them.

What should be done to both sides of the equation in order to solve N/4 = -12.4

Answers

Mutiply each by four to get n=-49.6. Hope this helped.

Answer:

Multiply by 4.

Step-by-step explanation:

Bella pays 7 payments of 5$ each to a game store. She returns one game and receives 20$ back. What is the change to the amount of money she has?

Answers

If by "change" you mean the amount of money she didn't get back then it would be 15$ since 7x5=35 and 35-20=15.

Answer:

Step-by-step explanation:

A plane, parallel to the base of a cone intersects the cone at the midpoint between points A and B. Determine the area of the cross-section formed by the intersection of the plane and the cone. Leave your answer in terms of pi. 2o height 6 radiusA) 1.5π in2
Eliminate
B) 3π in2
C) 9π in2
D) 36π in2

Answers

Answer:

Area of cross-section is $9\pi in^(2)$

Step-by-step explanation:

Given a cone and a plane parallel to base intersect the cone at the mid point of points between A and B.

We have to find the area of cross-section formed by intersection of the plane and the cone which is a new circle formed.

Given, height=20 in

radius=6 in

By mid point theorem i.e the line segment formed by joining the mid points of two side of triangle is parallel to third equal to half of the third side.

therefore new circle formed is of radius 3 in

Hence, area of cross-section formed by intersection of the plane and the cone which is a new circle formed= $\pir^(2)$