The two ratios in the tables shown which have a common denominator you could use to compare is; 3/12 and 4/12
<h3>Ratio</h3>
Machael's ratio:
lemons to water = 1:4
Equivalent ratio
= 3 : 12
= 4 : 16
Sondra's ratio:
lemons to water = 2 : 6
Equivalent ratio
= 4 : 12
= 6 : 18
Therefore, the two ratios in the tables shown which have a common denominator you could use to compare is; StartFraction 3 Over 12 EndFraction and StartFraction 4 Over 12 EndFraction
Complete question
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables. Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?
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Answer:
x = 8
Step-by-step explanation:
if the angle is equal to 36º that means (3x+12)º = 36º so simplify the equation and solve for x
3x+12 = 36
3x = 24
x = 8
Answer:
x = 48°
Step-by-step explanation:
42 + 90 + x = 180 (we can tell because it is a straight line and straight lines are supplementary, ie = 180)
Rearrange the equation so that x is on one side:
x = 180 - 90 - 42
Simplify
x = 48°
Use exp/log functions to rewrite y as
One of the properties of logarithms lets us bring down the exponent, so
Now take the derivative of both sides with respect to x. By the chain and quotient rules,
Simplify:
