Answer:
Monica's age = 34 years
Her daughter's age = 10 years
Step-by-step explanation:
Let Monica's age = x
Let her daughter'sage = y
x + y = 44 -------> equ 1
After 2 years:
Monica's age = x + 2
Her daughter's age = y + 2
x + 2 = 3 * (y+2)
x + 2 = 3y + 6
x = 3y + 6 -2
x = 3y + 4
Put x value in equ 1:
3y + 4 + y = 44
4y = 44 - 4
4y = 40
y = 40/4
y = 10
x = 44 -10
x = 34
Answer:

Step-by-step explanation:
The equation to solve is:

1. <u>On the left-hand side </u>use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"
Thus, the left-hand side is:

2. On the <u>right-hand side</u> use "The sum of two logarithms with the same base is the logarithm of the product":
Then, on the right-hand side:

3. <u>Make them equal</u>:

4. Since the two functions are the same, <u>make the arguments equal</u>:

5. <u>Solve the equation</u>:

First, begin by converting the tip of 12% to a decimal.
.12
Now, multiply that by the total bill.
.12*143=17.16
We now know the numerical value of the tip.
Add the tip to the total bill and get your answer.
143+17.16=160.16
Answer:
See explanation
Step-by-step explanation:
The distibutive property states that for all real numbers a, b and c

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.