2040. 10 times 4 is 40. If it happens every ten years then when the Olympics happen 10 times it would be 2040.
Answer:
28 hours
Step-by-step explanation:
Adena, Julius, and Tia volunteered to read to children at the public library.
Let us represent, the number of hours worked by
Adena = x
Julius = y
Tia = z
Julius worked two hours less than Tia.
y = z - 2
z = y + 2
Adena worked twice as many hours as Julius.
x = 2y
Altogether they worked 58 hours.
x + y + z = 58.... Equation 1
We substitute 2y for x and y + 2 for z in Equation 1
2y + y + y + 2 = 58
4y + 2 = 58
Collect like terms
4y = 58 - 2
4y = 56
y = 56/4
y = 14
We are the find the number of hours Adena worked which is represented by x
Note that:
x = 2y
y = 14, hence,
x = 2 × 14
x = 28 hours
Therefore, the number of hours Adena worked is 28 hours
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.
Answer:
x = -1, y = 1
Step-by-step explanation:
6 + 4x - 2y = 0 (1)
-3 - 7y = 10x (2)
From (1)
6 + 4x - 2y = 0 (1)
4x - 2y = -6 (3)
From (2)
-3 - 7y = 10x (2)
10x + 7y = -3 (4)
4x - 2y = -6 (3)
10x + 7y = -3 (4)
Using elimination method
Multiply (3) by 10 and (4) by 4 to eliminate x
40x - 20y = -60
40x + 28y = -12
28y - (-20y) = -12 - (-60)
28y + 20y = -12 + 60
48y = 48
y = 48/48
y = 1
Substitute y = 1 into (3)
4x - 2y = -6 (3)
4x - 2(1) = -6
4x - 2 = -6
4x = -6 + 2
4x = -4
x = -4/4
x = -1
x = -1, y = 1
The value of x in the equation is -1
