Answer:
Mac is 19 years old, Joe is 11 years old
Step-by-step explanation:
2J - 3 = M
J + M = 30
M = 30 - J
2J - 3 = 30 - J
3J = 33
J = 11
M = 30 - 11
M = 19
Answer:
y = 3/4 x -1
Step-by-step explanation:
The equation for a line with the slope and the intercept is y = mx+b where m is the slope and b is the y intercept
y = 3/4 x -1
Answer:

Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem
where
is the hypotenuse of the triangle.
Therefore, let
be the side length of this largest square. Since the area of a square with side length
is given by
,
will represent the area of the square:

Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180