A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?

a)1 cup of flour

b)67.5 minutes

Step-by-step explanation:

a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?

From the above question, we know that:

27 dinner rolls = 3 cups of flour

9 dinner rolls = x

Cross Multiply

27 rolls × x = 9 rolls × 3 cups

x = 9 rolls × 3 cups/27 rolls

x = 1 cup of flour

Hence, 1 cup of flour is needed to make 9 dinner rolls

b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?

From the above question:

4 km = 18 minutes

15km = x

Cross Multiply

4km × x = 15km × 18 minutes

x = 15km × 18minutes/4km

x = 67.5 minutes

Hence, in a 15km race , it would take her 67.5 minutes to complete her race.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )