Kenji uses the diagram to determine the quotient of StartFraction 9 Over 10 EndFraction and Three-fifths. A fraction bar labeled 1. Under the 1 are 10 boxes labeled StartFraction 1 Over 10 EndFraction. Under the 10 boxes are 5 boxes labeled one-fifth. He arrives at an answer of 4 and one-half. Which could be Kenji’s error? Kenji counted by One-fifth instead of Three-fifths. Kenji computed the division backwards, Three-fifths divided by StartFraction 9 Over 10 EndFraction. Kenji used the wrong fractional part to represent what was left over. Instead of a number of out 2, the number should be out of 5. Kenji used the wrong fractional part to represent what was left over. Instead of a number of out 2, the number should be out of 10.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Miguel’s teacher asks him to color 4/8 of his grid. he must use 3 colors: red, blue, and green. there must be more green sections than red sections. how can miguel color all the sections of his grid to follow all the rules

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?