Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
> 
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
Answer:
This figure is a quadrilateral, and therefore the sum of the interior angles must be 360°. Adding them up, we get 40° + 128° + x + 82° = 360°, or
168° + 82° + x = 360°, or 250° + x = 360. Subtracting 250° from both sides results in 110°, which is the measure of x.
Step-by-step explanation:
Answer:
number of cans Raina will be needed in court floor is 14 cans
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
Raina is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 46 feet and its width is 35 feet. Suppose each can of wood stain covers 115 square feet. How many cans will she need to cover the court?
CALCULATION;
Given:
length of the rectangular shape =46 feet
width of the the rectangular shape = 35 feet.
The floor of the court room is having a rectangular shape, then we need to calculate the surface Area of the rectangular shape first in order to know the number of cans that Raina will be needed
Surface Area= Length × Width
= 46feet × 35 feet
=1610 square ft
Then to get the number of cans , we need to divide the surface Area by each can of wood stain covers which is 115 square feet,
number of cans Raina will be needed in court = 1610 square ft / 115 square ft = 14
number of cans Raina will be needed in court floor is 14cans
9x²-0x-4
=9x²-4
=(3x-2)(3x+2) is the factor form of 9x²-0x-4
Solve for x:
3x-2=0
Add 2 to each side
3x-2+2=0+2
3x=2
Divided 3 to each side
3x/3=2/3
x=2/3
Or
3x+2=0
Subtract 2 to each side
3x+2-2=0-2
3x=-2
Divided 3 to each side
3x/3=-2/3
x=-2/3. Hope it help!
