Answer:
1448 mL
Step-by-step explanation:
The mass is the same.
Formula
m = d*V
Givens
<em><u>Olive Oil</u></em>
d = 0.92 grams / mL
V = ??
<em><u>Gasoline</u></em>
d = 0.74 grams / mL
V = 1.8 L = 1.8 L * (1000 ml / L)
V = 1800 mL
Solution
0.74 * 1800 mL = 0.92 * x Divide both sides by 0.92
0.74/0.92 * 1800 mL = 0.92 *x / 0.92 Combine the left
0.8043 * 1800 mL = x
x = 1448 mL
The volume of Olive Oil needed is 1448 mL
On-proportional linear relationships can be expressed in
the form y = mx + b, where b is not 0, m represents the constant rate of change
or slope of the line, and b represents the y-intercept. The graph of a non-proportional
linear relationship is a straight line that does not pass through the origin.
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
Answer:
x intercept is x=3
y intercept is y=-3
Step-by-step explanation:
We can write this equation in a simpler way to find the values needed. Lets do it. Take:
x-y=3
And sum y in both sides, as we know the equality will maintain:
x-y+y=3+y
x = 3+ y
Now subtract 3 in both sides:
x-3 = y+3-3
x-3=y
So, we can rewrite our equation as y=x-3
The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:
x-3 = 0
If we sum 3 in both sides:
x-3+3=3
x=3
So, x=3 is x intercept
For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:
0-3=y
y=-3
Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.