In the given image, 
is 5. The correct option is the first option 5
<h3>Matrix notation</h3>
From the question, we are to determine which entry in the given matrix represents
NOTE: For any entry denoted as 
, it represents the entry in the <em>m</em>-th row and <em>n</em>-th column.
Thus,
represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image, is 5. The correct option is the first option 5
Learn more on Matrix notation here: brainly.com/question/2382978
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Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
Answer:
47/10 = 4 7/10
Step-by-step explanation:
3 2/5 + 1 3/10
1. Write mixed numbers as improper fractions:
17/5 + 13/10
2. Write equivalent fractions with a common denominator:
34/10 + 13/10
3. Add the numerators over the common denominator.
47/10
4. Simplify.
4 7/10
Answer: 18 ft per second
Step-by-step explanation: 36 divided by 2
