Download Socratic for the correct answer btw I need points;)
Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12
Answer:
-20
Step-by-step explanation:
Follow the PEDMAS order (from top to bottom):
Parentheses
Exponents
Division and Multiplication
Addition and Subtraction
(-5 × 9 - 1) ÷ 2 + (5)2 - 7
(-45 - 1) ÷ 2 + 10 - 7
-46 ÷ 2 + 10 - 7
-23 + 10 - 7
-13 - 7
-20
Answer:
21 square feet
Step-by-step explanation:
To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.
Version 1: 6 * 2 rectangle and 3 * 3 square
(6 * 2) + (3 * 3)
12 + 9
21 sq. ft.
Version 2: 5 * 3 rectangle + 2 * 3 rectangle
(5 * 3) + (2 * 3)
<em>You could really just do 7 * 3 here.</em>
7 * 3
21 sq. ft.
Either way, you still get 21 square feet as your answer.
Answer:
17:3 is 68:12 simplified
15 slices will be eaten in 10 minutes
Step-by-step explanation:
first off 17:3 is 68:12 simplified (both 68 and 12 go into 4 resulting in 17 and 3)
you have to divide 10 by 2 which will give you 5
and then multiply by 3
to get 15