Answer:
- length: 30 ft
- width: 10 ft
Step-by-step explanation:
The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...
s = √A= √(100 ft²) = 10 ft
This dimension is the width of the garden, whose length is 3 times this amount.
The length and width of the garden are 30 ft and 10 ft, respectively.
First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.
Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

Hence, it takes 7.87 years for the principal amount to double.
Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:

,
then invert to show it equivalent form:

.
With that you have solved the equation for x.
Answer:
-2y+6
Step-by-step explanation:
Multiply (y-3) by -2