QUESTION IMAGE
Question
the diameter of mars is ____ kilometers. this is a reasonable solution because 12,756 is a little less than 6792·2 = 13,584, as indicated in the problem.
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basketball in 1962, wilt chamberlain set the record for the most points scored in a single nba game. he scored 28 points from free throws and made x field goals, worth two points each. if wilt chamberlain scored 100 points, how many field goals did he make? which equation represents the number of field goals that chamberlain scored?
a. 100 = 28 + 2x b. 100 = 28x + 2 c. 28 = 2x d. 100 = 2x
how many field goals did chamberlain score? ____ field goals
example 3 solve for a variable
geometry the formula for the perimeter of a parallelogram is p = 2a + 2b where a and b represent the measures of the bases. solve the equation for b.
p = 2a + 2b
original equation
p - _ = 2a + 2b - _
subtract 2a from each side.
p - 2a = ___
simplify.
\frac{p}{2}-\frac{2a}{2}=\frac{2b}{2}
divide each side by 2.
\frac{p}{2}-___ = b
simplify.
Step1: Identificar la ecuación correcta para los puntos de Chamberlain
Sabemos que hizo 28 puntos en tiros libres y $x$ goles de campo de 2 puntos cada uno, y un total de 100 puntos. Entonces la ecuación es $100 = 28+2x$.
Step2: Resolver la ecuación para $x$
Comenzamos con $100 = 28 + 2x$. Restamos 28 de ambos lados: $100 - 28=2x$, es decir $72 = 2x$. Luego dividimos ambos lados por 2: $x=\frac{72}{2}=36$.
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A. $100 = 28 + 2x$
36 field goals