Date
ame ba
119
harris middle school
multiplying and
dividing
simple fractions and
mixed numbers
ractions are used at harris middle school
n many ways. solve the problems.
simplify your answers.
n0
1 rondel has 27 math problems to do
for homework. if he finishes them
before dinner, how many problems must
he do after dinner?
of those playing woodwinds, 15 play the
clarinet. write a simplified fraction
representing the number of students who
play clarinet compared to the overall
number of students who play woodwinds.
2 for the school play, mr. simmons
students build the background for
the stage. one background required that
he cut a 16-foot board into 1+-foot
pieces. how many pieces did he cut?
5 mrs. walford, the art teacher at harris
middle school, plans to make holiday
decorations with her 7th period class. she
has a 32-+-foot roll of green ribbon. each
decoration requires a 1 + foot-long ribbon.
how many decorations can she make?
3 jess spent 1+ hours on the internet.
she spent of this time researching for
her history report and the rest of the time
surfing the net. how many minutes did
she surf the net?
mrs. walford's class has 24 students, and
there will be one decoration for each
student. how much more ribbon will she
need? (she cannot use the leftover ribbon
from the previous roll.)
4 there are 120 students in the harris
middle school band. if play string
instruments, how many students play
string instruments?
if another play brass instruments, how
many play brass instruments?
6 the pta donated 720 tulip bulbs to be
planted around the school. +of the total
would be planted in flower beds around
the school's front sign,+ would be
planted on the sides of the school, and
would be planted in the school's
courtyard. this would leave 30 tullps for
planting in other places. is this an
accurate plan? explain your answer on the
back of this page.
if + play woodwinds, how many play
woodwinds?
12
practice. practice practice word problems muschla & muscha scholastic teachine resources

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.  

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve