We know that, In a Right Angled Triangle :
✿ (Hypotenuse)² = (First Leg)² + (Second Leg)²
From the Diagram :
✿ Hypotenuse = x
✿ First Leg 
✿ Second Leg 
The answer would be 6 4/6 - 2 3/6 which would equal 3 1/6.
Answer:
Step-by-step explanation:
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl
Let us represent:
The age of :
Tanisha = a
Elicia = b
Ajua = c
Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua
a = 2c
c = 2/a
Elicia is two years older than Tanisha.l
b = a + 2
The sum of all their ages is 37.
a + b + c = 37
We substitute
a + a + 2 + 2/a = 37
2a + 2 + 2/a = 37
Use variable expressions and calculate the age of each girl
Step-by-step explanation:
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
