Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
10008 hours per 3 years is average of 3336 hours per year, or about 9.1 per day.
H equals eighti'll just keep on writing because it needs to have 20 characters to answer
Answer:
y would be 90 degrees
Step-by-step explanation:
The triangle has a right angle which is where y is located. A right angle is usually 90 degrees.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2