Question

1. which three expressions are equivalent to $5(5a + 6b)$?a $25a + 30b$b $25a + 6b$c $31ab$d $10a + 11b$e $15a + 10a + 15b + 15b$f $20a + 2a + 3a + 10b + 10b + 10b$6.nso.7 dok 221. there is $\frac{6}{8}$ of a cup of pineapple left over from lunch. how many $\frac{1}{4}$ cup servings of pineapple are in $\frac{6}{8}$ of a cup?put your answer in the box.6.nso.4 dok 222. mrs. blake recorded how many of her 6th graders took hot lunch each day in january. she makes the box plot below to display her data.between which 2 numbers do exactly 50% of the data points lie?a 20 and 40b 19 and 45c 10 and 59d 45 and 596.dsp.24 dok 2

Explanation:

Question 20

Step1: Expand the original expression

$5(5a+6b) = 5\times5a + 5\times6b = 25a+30b$

Step2: Simplify option e

$15a+10a+15b+15b = (15+10)a + (15+15)b = 25a+30b$

Step3: Simplify option f

$20a+2a+3a+10b+10b+10b = (20+2+3)a + (10+10+10)b = 25a+30b$

Step1: Simplify the leftover fraction

$\frac{6}{8} = \frac{3}{4}$

Step2: Divide by serving size

$\frac{3}{4} \div \frac{1}{4} = \frac{3}{4} \times 4 = 3$

In a box plot, the box represents the interquartile range (IQR), which contains exactly 50% of the data points. The left edge of the box is the first quartile (Q1, 20) and the right edge is the third quartile (Q3, 45).

Answer:

a. $25a + 30b$, e. $15a + 10a + 15b + 15b$, f. $20a + 2a + 3a + 10b + 10b + 10b$

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Question 21