Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4

7C = 4A
--- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41

25(C + 68) = 41A
C + 68 = 
--- (2)
Equating (1) and (2) together;




- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From;

C = 36.57
C ≅ 37 beads
Leeza can put 33 or less gallons of water in aquarium.
Step-by-step explanation:
Given,
Capacity of aquarium = 55 gallons of water
Water already in aquarium = 22 gallons
Let,
x be the number of gallons that can be added in aquarium.
As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.

Subtracting 22 from both sides

Leeza can put 33 or less gallons of water in aquarium.
Keywords: inequality, subtraction
Learn more about inequalities at:
#LearnwithBrainly
Answer:
a quadrilateral is a four sided shape that has four straight sides
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.