Members of the swim team want to wash their hair. The bathroom has less than 560056005600 liters of water and at most 2.52.52, point, 5 liters of shampoo. 70L+60S < 560070L+60S<560070, L, plus, 60, S, is less than, 5600 represents the number of long-haired members LLL and short-haired members SSS who can wash their hair with less than 560056005600 liters of water. 0.02L+0.01S \leq 2.50.02L+0.01S≤2.50, point, 02, L, plus, 0, point, 01, S, is less than or equal to, 2, point, 5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.52.52, point, 5 liters of shampoo. Does the bathroom have enough water and shampoo for 888 long-haired members and 777 short-haired members?

Yes, both shampoo and water will be enough

Given that:

Number of long and short hair member who can wash their hair ; with amount of water less than 5600 litres

To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.

L = long-haired ; S = short-haired

70L+ 60S < 5600

Check the constraint for amount of water :

70L+ 60S < 5600

L = 8 ; S = 7

70(8) + 60(7) < 5600

560 + 420 < 5600

980 < 5600

Constraint satisfied

Number of long and short hair member who can wash their hair with shampoo not more than 2.5 litres

0.02L + 0.01S ≤ 2.5

L = 8 ; S = 7

0.02(8) + 0.01(7) ≤ 2.5

0.16 + 0.07 ≤ 2.5

0.23 ≤ 2.5 (constraint satisfied).

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

answer: 10 turtles

step-by-step explanation: as turtles have four legs so 4.10=40 therefore birds are 4 which sue counted