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Add '-1' to each side of the equation.
1 + -1 + 3d = 10 + -1
Combine like terms: 1 + -1 = 0
0 + 3d = 10 + -1
3d = 10 + -1
Combine like terms: 10 + -1 = 9
3d = 9
Divide each side by '3'.
d = 3
Simplifying
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Answer:
h(4)=17
Step-by-step explanation:
Since we are just looking for h(4), all the other equations can be ignored. Then we replace the x in the equation with 4. Remember to do the multiplication before adding the numbers together according to PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Answer:
b. 36 years
Step-by-step explanation:
Today
Nirmala = x years
Rahul = 3x years
In 13 years
Nirmala = 3x + 13 years
Rahul = 2(x+13) - 1
3x + 13 = 2(x+13) - 1
3x + 13 = 2x + 26 - 1
3x + 13 = 2x + 25
3x - 2x = 25 - 13
x = 12
Nirmala = x years
= 12 years
Rahul = 3x years
= 3(12)
= 36 years
The age of Rahul today is 36 years
Answer:
9, 11, 13
Step-by-step explanation:
Let n represent the smallest of the integers. Then n+4 is the largest of them. The given total is ...
n + 4(n+4) = 61
5n +16 = 61
5n = 45 . . . . . . subtract 16
n = 9 . . . . . . . . divide by 5
The smallest of the integers is 9, so the other two are 11 and 13.