Answer:
see explanation
Step-by-step explanation:
Given
-
[ -
c + 6c + 1 ] - 3c
Distribute the square bracket by - 
=
c - 3c -
- 3c ← combine like terms
=
c - 6c - 
=
c -
c - 
= -
c - 
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
Answer:
LCD is 60
Step-by-step explanation:
Equivalent Fractions with the LCD
1/2 = 30/60
1/3 = 20/60
1/4 = 15/60
1/5 = 12/60
Rewriting input as fractions if necessary:
1/2, 1/3, 1/4, 1/5
For the denominators (2, 3, 4, 5) the least common multiple (LCM) is 60.
LCM(2, 3, 4, 5)
Therefore, the least common denominator (LCD) is 60.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/2 = 1/2 × 30/30 = 30/60
1/3 = 1/3 × 20/20 = 20/60
1/4 = 1/4 × 15/15 = 15/60
1/5 = 1/5 × 12/12 = 12/60
An earthquake with a rating of 3.8 can cause destruction in areas of up to 100 kilometers that are populated.
<span>R = log x </span>
<span>R = rating of the earthquake's size on the Richter scale </span>
<span>x = ratio of earthquake intensity to a minimum level of intensity</span>