So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
<span>x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the a</span><span>mounts of white paint and blue paint Vivian combined is 30ml.
2. T</span>he equation of the line that passes through the points (-2, 1) and (1, 10) would be: <span>3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.</span>
Answer:
The percentage change from July to November is 67.27 %
Step-by-step explanation:
Given as :
The number of tourists at the beach per weekend in the month of July =
= 55,000
The number of tourists at the beach per weekend in the month of November =
= 18,000
Let the percentage change from July to November = A %
Or, % decrease change =
× 100
So , A % =
- \textrm
}{\textrm
}[/tex] × 100
or, A % =
× 100
Or, A % =
× 100
Or, A = 67.27 %
So percentage change between two months = 67.27 %
Hence The percentage change from July to November is 67.27 % Answer
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have been given an equation
. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:

Dividing both sides by 2:

Splitting the middle term:




Using zero product property:



Therefore, the zeros of the given equation are
.
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

Therefore, the equation
represents the line of symmetry of the given parabola.
Answer:

Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2



---- Equation 4
Add Equation 4 to Equation 3



Divide both sides by 2



Substitute
in Equation 2 and 3
----- Equation 2

Subtract 8.3 from both sides



----- Equation 3

Subtract 8.3 from both sides



So, we have that



The question states that the 4th tower is made up of the three shapes;
This implies that;



The height of the 4th tower is 23.9cm