The highest common factor is 45
Answer:
y = -2x + 12
Step-by-step explanation:
The point-slope equation for a line has the following format:
y = mx + b
In which m is the slope and b is the y-intercept(value of y when x = 0).
(1,10)
This means that when x = 1, y = 10. So
10 = m + b
(5,2)
This means that when x = 5, y = 2. So
2 = 5m + b
From the first equation, b = 10 - m. So
2 = 5m + 10 - m
2 = 4m + 10
4m = -8
m = -2
And
b = 10 - m = 10 - (-2) = 10 + 2 = 12
So
y = -2x + 12
Area of triangle = 1/2 x base x height.
Base = 14 cm
Height = 8 cm
Area = 1/2 x 8 x 14 = 56 cm^2
Correct option B
Answer:
Step-by-step explanation:
A)
<u>Each edge of the greater cube has:</u>
- 1 : 1/6 = 6 times the small cube
<u>Number of small cubes:</u>
B)
The volume of the bigger cube is 1 in³
<u>The volume of each small cube is:</u>
Answer:
Answer. 105 ounces of water is needed.
Let W = the volume of water to be mixed in ounces).
Then the volume of the 30% salt solution needed is (210-W).
The balance equation for the salt mass is
0.3*(210-W) = 0.15*210.
Simplify and solve for W:
63 - 0.3W = 31.5,
63 - 31.5 = 0.3W,
0.3W = 31.5,
W = 31.5%2F0.3 = 105.
Answer. 105 ounces of water is needed.
Step-by-step explanation: