let
x = the number of party favors in each of the 27 boxes
y = the number of party favors in the last box
the total number of party favors is 1,552
27x + y = 1,552
since 1552 = 57*27 + 13
if we assume that y<x we conclude that there are 57 party favors in each of the 27 boxes and 13 party favors in the last box.
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Answer: StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² = 5 - x
Rearranging the equation to take the standard form of ax² + bx + c, it becomes
x² + x - 5 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 1
c = - 5
Therefore,
x = [- 1 ± √(1² - 4 × 1 × - 5)]/2 × 1
x = [- 1 ± √(1 - - 20)]/2
x = [- 1 ± √21]/2
x = (- 1 + √21)/2 or x = (- 1 - √21)/2
Answer:
<em>Angle B=90 degrees</em>
<em> </em>
<em>BA^C= 40 degrees</em>
Step-by-step explanation:
<em>Angle B=</em><em>90 degrees (</em><em>right angle =90 degrees</em><em>)</em>
<em />
<em>90+50+BA^C=180</em>
<em>140+BA^C =180</em>
<em> BA^C=180-140</em>
<em> </em><em>BA^C= 40 degrees</em>
<em> </em>
Answer:
It is a rational number
Step-by-step explanation:
3/8 = 0.375
The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.
Any rational number is trivially also an algebraic number.
Answer:
$24.75
Step-by-step explanation:
Let's first add up all the costs:
Since they split it, let's divide that by 2:
Thus, they both spent $24.75.
