A is correct, x is less than 2.
Answer:
3a-2
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<Jayla>
The side of the square is 5.9 cm
<u>Step-by-step explanation:</u>
Area of the circle = 56 square cm
Side of the square= x
Area = π(r x r)
56 = π (r x r)
√17.83 = r
r = 4.22 cm
Diameter = 8.44cm
The diameter is equal to the diagonal of the square.
8.44 = x√2
x = 8.44/√2
= 5.9 cm
The side of the square is 5.9 cm
Answer:
The ration of the number of gallons of green paint to the number of tan paint Collins used is 1 is to 2
Step-by-step explanation:
The given parameters are;
The number of gallons of tan paint = 2 gallons
The number of gallons of blue paint = 5 gallons
The number of gallons of green paint = 1 gallons
Therefore, the ration of the number of gallons of green paint to the number of tan paint Collins used = (The number of gallons of green paint Collins used):(The number of tan paint Collins used) = 1 gallons:(2 gallons) = 1:2
The ration of the number of gallons of green paint to the number of tan paint Collins used = 1 is to 2.
Complete question :
Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of shampoo. 70L+ 60S < 5600 represents the number of long-haired members L and short-haired members S who can wash their hair with less than 5600 liters of water. 0.02L + 0.01S < or equal to 2.5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.5 liters of shampoo. Does the bathroom have enough water and shampoo for 8 long-haired members and 7 short -haired members?
Answer:
Yes , there is enough water and shampoo
Step-by-step explanation:
Given that:
Number of long and short hair member who can wash their hair with less than 5600 litres of water.
70L+ 60S < 5600
Number of long and short hair member who can wash their hair with at most 2.5 litres of shampoo
0.02L + 0.01S ≤ 2.5
To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.
Water check:
70L+ 60S < 5600
L = 8 ; S = 7
70(8) + 60(7) < 5600
560 + 420 < 5600
980 < 5600
Inequality constraint is satisfied ; There is enough water.
Shampoo check:
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
Inequality constraint is satisfied ; There is enough shampoo