The answer is c . 24ib for $18.72
Answer: Andy has 41 books
Erica has 82 books
Clay has 56 books
Step-by-step explanation:
Let x represent the number of books that Andy has.
Let y represent the number of books that Erica has.
Let z represent the number of books that Clay has.
Andy, Erica, and Clay have a collection of books totaling 179 books. This means that
x + y + z = 179 - - - - - - - - -1
Erica has twice as many books as Andy. It means that
y = 2x
Andy has 15 fewer books than Clay. It means that
x = z - 15
z = x + 15
Substituting y = 2x and z = x + 15 into equation 1, it becomes
x + 2y + x + 15 = 179
4x = 179 - 15 = 164
x = 164/4 = 41
y = 2x = 2×41 = 82
z = x + 15 = 41 + 15 = 56
Do you remember the special case of factoring the difference of 2 squares ?
x² - 5 = (x + √5) (x - √5)
That will be zero if either factor is zero.
First factor:
x + √5 = 0
<u>x = -√5</u>
Second factor:
x - √5 = 0
<u>x = √5</u>
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Another way to look at it is just to sit there and LOOK at it.
<u>x² - 5 = 0</u>
x² = 5
This is true if x = + or - √5 .
Answer:
BE=7 un., EC=5 un.
Step-by-step explanation:
Triangles ABC and ADE are similar, then
Thus,
Therefore,
So
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