The required mass of aquarium when it is half full of water is 10 kg.
Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)
<h3>What is volume?</h3>
Volume, is defined as the ratio of the mass of object to its density.
Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg
Thus, the required mass of aquarium when it is half full of water is 10 kg.
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Answer:
Santosh purchased 4 new and 4 used DVDs.
Step-by-step explanation:
From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:
15x+5y=80, where:
x refers to the number of new DVDs
y refers to the number of used DVDs
Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:
15x+5x=80
20x=80
x=80/20
x=4
According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.
Answer:
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
Order from least to greatest"
Hence, the range are:
Step 1:
Work out how much is was for 6 avocados
20 - 10.40 = 9.6
Step 2:
Find out how much it is for 1 avocado
9.6 / 6 = $1.6
Step 3:
Construct an equation, where y is how many avocados
1.6y = total price
Answer:
The correct option is First. i.e <u>consistent.</u>
The System shown is <u>consistent.</u>
Step-by-step explanation:
Consistent:
A consistent system of equations is a system that has at least one solution.
Our System in graph has only and only ONE solution that is on X-axis
Where the lines are intersecting each other.
Hence, The System shown is <u>consistent.</u>
Inconsistent:
An inconsistent system of equations is a system that has no solution.
Equivalent:
Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
