Answer:
10
Step-by-step explanation:
P(getting blue marbles) = 7/9
so;
x/45 = 7/9
x = 35
so the number of blue marbles is 35
45 - 35 = 10 red marbles
hope it helps .
all the best
Total cost for tiles and paints is $924.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,
Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.
Given: 1m squared floor tiles costs $3. So,
Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.
Therefore, the combined total cost of tiles and paint is $924.
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.
Answer:
Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation
add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of is
The point is:
The transformation
subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of is
The point is:
The transformation
Multiply the input variable (x) by 2 and then add two units
So the point in the graph of is
The point is:
Answer:
a) hydrostatic pressure at bottom = 10054.375 lb/ft-s2
b) hydrostatic force at bottom = 150815.625 lb-ft/s2
c) hydrostatic force at one end of aquarium = o
Step-by-step explanation:
Detailed explanation and calculation is shown in the image below