ANSWER
EXPLANATION
The given equation is
Take antilogarithm of both sides to base e.
This will simplify to
Group like terms to obtain,
Take square root of both sides to get,
Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
Answer:
Step-by-step explanation:
Congruent sides are called legs.
Third side is called the base.
Based on the table given on the punch recipe, the correct answers are:
- 48 cups.
- 48 cups.
- 8
- 8 cups of frozen strawberry.
<h3>What does the table on the punch recipe show?</h3>
3 gallons of punch in cups is:
= 16 cups per gallon x 3 gallons
= 48 cups
The amount that Chandra should multiply each ingredient by is:
= 48 cups / 6 cups per recipe
= 8
The number of cups of frozen strawberries needed is:
= 8 x 1
= 8 cups
Find out more on ratios and quantities at brainly.com/question/24910157.
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