A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin. You instead decide to make mini-muffins, and the recipe yields 20 mini-muffins. If you eat 7 mini-muffins, how many calories will you consume?

The calories you will consume are 1134 calories

Step-by-step explanation:

Let us solve the problem

∵ A recipe for blueberry muffins states that it yields 12 muffins, with 270

  calories per muffin

→ Find the total calories of the 12 muffins

∴ The total calories of them = 12 × 270

∴ The total calories of them = 3240 calories

∵ You instead decide to make mini-muffins, and the recipe yields 20

   mini-muffins

→ That means the same amount of calories are in 20 mini-muffins, to find

   the calories of each one divide the total amount of calories by 20

∵ The calories per mini-muffin = 3240 ÷ 20

∴ The calories per mini-muffin = 162 calories

∵ You will eat 7 mini-muffins

∴ The calories you consume = 7 × 162

∴ The calories you will consume = 1134 calories

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: