Answer:
18 years
Step-by-step explanation:
let the boy's age my x and mother's age be y
x+y=48
y=3+2x which can also be written as 2x-y=-3
on solving both the equations,
you will get x=15 and y=33
so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18
Answer:
The answer to your question is:
Step-by-step explanation:
y = -3x + 16/3
Find y-intercept
To find it, x = 0
y = -3(0) + 16/3
y = 0 + 16/3
y = 16/3 ≈ 5.3 The point is (0, 16/3)
Find x-intercept
y = 0
0 = -3x + 16/3
-16/3 = -3x
x = -16/3/-3
x = 16/9 ≈ 1.8 The point is (1.8, 0)
We look for these points in the axis and finally join them.
Answer:
29*sqrt(5)
Step-by-step explanation:
Start with sqrt (45). You must reduce it to it's prime factors.
45: 9 * 5 9 is not prime so reduce it.
45: 3 * 3 * 5
When you write √45, you should replace it with √(3*3*5)
The rule is
Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.
Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.
√45 = 3√5
11sqrt(45) - 4 sqrt(5) Substitute for 45
11*3*sqrt(5) - 4sqrt(5) Take out sqrt(5) using the distributive property.
(11*3 - 4)*sqrt(5) Combine 11 * 3
(33- 4) * sqrt(5) Do the subtraction
29 * sqrt(5) Answer
Let's call the amount of money they still need "x". So far they have 425 dollars and they require more than $950. So the inequality is...
425 + x > 950
x > 950 - 425
x > 525
They still need to raise more than $525