6.75 Calories/minute is Blake’s unit rate.
Answer:
Simplifying
7x + -2(x + 1) = 6x + 14
Reorder the terms:
7x + -2(1 + x) = 6x + 14
7x + (1 * -2 + x * -2) = 6x + 14
7x + (-2 + -2x) = 6x + 14
Reorder the terms:
-2 + 7x + -2x = 6x + 14
Combine like terms: 7x + -2x = 5x
-2 + 5x = 6x + 14
Reorder the terms:
-2 + 5x = 14 + 6x
Solving
-2 + 5x = 14 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-2 + 5x + -6x = 14 + 6x + -6x
Combine like terms: 5x + -6x = -1x
-2 + -1x = 14 + 6x + -6x
Combine like terms: 6x + -6x = 0
-2 + -1x = 14 + 0
-2 + -1x = 14
Add '2' to each side of the equation.
-2 + 2 + -1x = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 14 + 2
-1x = 14 + 2
Combine like terms: 14 + 2 = 16
-1x = 16
Divide each side by '-1'.
x = -16
Simplifying
x = -16
Step-by-step explanation:
The width of rectangle is 10 cm.
Step-by-step explanation:
Perimeter of rectangle = 60 centimeters
Let,
w be the width of rectangle.
The length of a rectangle is twice the width.
length of rectangle = 2w
We know that;
Perimeter = P = 2(Length+Width)
P = 2(2w+w)
Solving the Equation;

Dividing both sides by 6;

The width of rectangle is 10 cm.
Keywords: perimeter, rectangle
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