Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
Answer:
y = 1/3x - 17/3
Step-by-step explanation:
Given:
Passes through (2, -5)
m = 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - (-5) = 1/3(x - 2)
y + 5 = 1/3x - 2/3
y = 1/3x - 17/3
Answer: a) y+3= 0(x-3)
b) x= 5
Step-by-step explanation:
The two combinations of two-digit numbers we could have would be 79 and 97. The only one of those that would round to 100 is 97. If we added another digit to the number, it would be over 100. The very smallest three digit number we could have with these two numbers in it would be 179; that would not round to 100. That means 97 must be our number.
The correct multiple choice questions (x) are 4 points each.
The correct word problems (y) are 8 points each.
Lorenzo needs AT LEAST 50 points.
Put all that information into an inequality and you get:
4x + 8y ≥ 50