Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
Answer:
x = 19
z = 64
Step-by-step explanation:
Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.
11x - 93 = 116
11x = 209
x = 19
Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°
z + 116 = 180
z = 64
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3. He can divide 231 by 12 or he can see which number he can multiply by 12 to get 231.
4. 98 cubic meters
