Answer:
Step-by-step explanation:
This is a difference of squares that has the form and factors to:
Here take the square root of each term for the factors.
Answer:
Sum of their present ages = 20 years
Step-by-step explanation:
Present age :
Neha's age = x years
Reemas' age = x - 4
After 5 years:
Neha's age = (x +5) years
Reemas' age = (x - 4 + 5 ) = x + 1
Sum of the ages of Reema and Neha will be 30
Therefore,
x + 5 + x + 1 = 30
x + x + 5 + 1 = 30
2x + 6 = 30
2x = 30 - 6
2x = 24
x = 24/2
x = 12
Neha's age = 12 years
Reema's age = 12 - 4 = 8 years
Sum of their present ages = 12 + 8 = 20 years
Answer:
He has 3 quarters , 6 dimes and 16 nickles
Step-by-step explanation:
∵ Dimes is d , Quarter is q , nickels is n and pennies is p
∵ Quarter = 25 cents
∵ Dime = 10 cents
∵ Nickle = 5 cents
∵ Penny = 1 cent
∵ The remaining 35 coins are pennies ⇒ 35 cents
∵ He has $2.50 = 2.50 × 100 = 250 cents
∴ The value of quarters , dimes and nickels = 250 - 35 = 215 cents
∴ 25q + 10d + 5n = 215 ⇒ (1)
∵ d = 2q
∴ q = 1/2d ⇒ (2)
∵ n = 10 + d ⇒ (3)
Substitute (2) and (3) in (1)
∴ 25(1/2 d) + 10d + 5(10 + d) = 215
∴ 12.5d + 10d + 50 + 5d = 215
∴ 27.5d = 215 - 50
∴ 27.5d = 165
∴ d = 165 ÷ 27.5
∴ d = 6
∴ q = 1/2 (6) = 3
∴ n = 10 + 6 = 16
∴ He has 3 quarters , 6 dimes and 16 nickles
Answer:
the answers are 12.5, 5, 2, 0.8 and 0.32
Step-by-step explanation:
2(0.4)^-2
=2(6.25)
= 12.5
2(0.4)^-1
= 2(2.5)
=5
2(0.4)^0
=2(1)
=2
2(0.4)^1
=2(0.4)
=0.8
2(0.4)^2
=2(0.16)
=0.32
Answer:
(-1,4) This is the solution for the given system
Step-by-step explanation:
The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)
The other graph is attached as well
The solution for this system is the interception between the graph
