Answer:
10.8 or 11
Step-by-step explanation:
32.4/3 is 10.8 but can be rounded up to 11
Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
The biggest cone that can fit into a cube of side 3cm would have a diameter of 3 and height of 3, therefor if the volume of a cone = πr^2h*1/3, then:
Volume = π*1.5^2*3*1/3
= 2.25π
= 9π/4 cm^3
Answer:75
Step-by-step explanation:
i believe so
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
