Answer:
a = 4/27 - b/81
Step-by-step explanation:
27a + 1/3 * b = 4
Subtract the term with b from both sides.
27a = 4 - 1/3 *b
Divide both sides by 27.
a = 4/27 - 1/81 * b
a = 4/27 - b/81
Answer:
932.60 kg
Step-by-step explanation:
To find a percent of a number, change the percent to a decimal and multiply by the number.
114% of 818.07 kg =
= 114% * 818.07 kg
= 114/100 * 818.07 kg
= 1.14 * 818.07 kg
= 932.60 kg
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right
For this case, the first thing we must do is define a variable.
We have then:
x: unknown number
We now write the expression that models the problem:

From here, we clear the value of x.
We have then:




Answer:
4/9 divided by 1/27 equals 12
Answer:
18cm
Step-by-step explanation: