Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is
.
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is:
,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
Answer:
20%decrease
Step-by-step explanation:
sorry I'm bad at explaining things
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
Answer:
Step-by-step explanation: