We apply our knowledge in variation.
The solution can be seen in the photo
Answer:
C) x = 9
Step-by-step explanation:
When two segments intersect in a circle like so, the product of the two parts of one segment will be equal to the product of the two parts of the other segment.
So,<em> 3 * 6 = x * 2</em>
Multiply: 18 = x * 2
Divide: x = 9
Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
Answer:

Step-by-step explanation:
Since it's a perfect square, we can simply use the formula:

Given the perfect square expression
. Apply perfect square formula:

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

Apply laws of exponent to simplify the terms or expression:

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form.