Simplifying
x + 0.7 = 1 + -0.2x
Reorder the terms:
0.7 + x = 1 + -0.2x
Solving
0.7 + x = 1 + -0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x
Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x
Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1
Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7
Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7
Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3
Divide each side by '1.2'.
x = 0.25
Simplifying
x = 0.25
I only know 1 way.
Area = 299*34 = 10166 ft^2
Cost = 10166 * 11 = $111,826 (answer)
Answer:
True statements:
1. Fractions and ratios cannot have zero in the denominator.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way.
Step-by-step explanation:
1. Fractions and ratios cannot have zero in the denominator: <u>True. </u>
<u>Reason- </u>If the denominator in any fraction /ratio is zero, then it means the whole fraction will be equal to infinity (not-defined value)
2. Fractions and ratios are different names for the same thing. <u>False</u>
<u>Reason- </u>A fraction represents a number from the whole of something, in which the denominator represents the total number of equal parts of the whole. But, a ratio represents a comparison between two quantities.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way. <u>True</u>
<u>Reason-</u>The simplification method can be same but these two are not same quantities.
For this case we propose a system of equations:
x: Let the variable representing the length of the longer piece
y: Let the variable representing the length of the shorter piece
According to the statement data we have:
Substituting the second equation into the first we have:
Thus, the shorter piece is 30 cm.
Thus, the longer piece is 70 cm.
Answer:
The longer piece is 70 centimeters.
