Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. one such artifact is bronze age spearheads recovered from ancient rivers in ireland. a recent study gave the following information regarding discoveries of ancient bronze spearheads in irish rivers.

river bann blackwater erne shannon barrow
no. of spearheads 25 12 15 35 14
(a) make a pareto chart for these data.
shannon, bann, erne, barrow, blackwater,

(b) make a circle graph for these data
shannon 34.7%
blkwtr 11.9%
barr 13.9%
erne 14.9%
bann 24.8%

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

there still no table