Answer:
choose "infinitely more solutions"
Step-by-step explanation:
Let's solve this system by substitution method
y+1=2x
- 1 = - 1
y = 2x -1 <-- sbstitute this in the next equation
---------------------------------------------------------------------------------
5y+5 = 10x
5(2x -1) + 5 = 10x
10x -5 + 5 = 10x
10x + 0= 10x
- 10x = -10x
0 = 0 <-- infinitely more solutions
In 4 seconds, number of beats = 28
In 1 sec., it is = 28/4 = 7
Now, In 30 seconds, it would be: 30 * 7 = 210
In short, Your Answer would be: 210 beats
Hope this helps!
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Answer:
<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>
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Step-by-step explanation:
Given:
Two square pyramids A and B.
Side Length of A,
12 inches
Height of A,
8 inches
Side Length of B,
48 inches
Height of B,
32 inches
To find:
How many times bigger is the volume of pyramid B than pyramid A?
OR
is how many times bigger than
?
Solution:
First of all, let us have a look at the formula for volume of a pyramid:

Here, base is square, so:

Volume of pyramid A:


Volume of pyramid B:


<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>
If you're trying to solve for x, keep in mind the ln (natural log) of e is 1. So take the natural log of both sides, which will give you ln Y = ln e^x. The ln and e essentially cancel out, so you're left with x = ln Y.