Answer:
If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9
Step-by-step explanation:
The son is y and the mom is x
x=7y
x+3=5(y+3)
7y+3=5y+15
7y=5y+12
2y=12
y=6
Answer:
The ratio of the intensities is roughly 6:1.
Step-by-step explanation:
The intensity I() of an earthquake wave is given by:
<em>where P: is the power ans d: is the distance. </em>
Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km </em>

Therefore, the ratio of the intensities is roughly 6:1.
I hope it helps you!
The answer is Option C) 7th graders in her school.
In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.
The rule for differentiation for variable with exponents has the formula:
d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent
Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = <em>4x
Thus, the derived equation of the given would now be 4x.</em>
Answer:
64
Step-by-step explanation:
A square has 4 sides. 32 divided by 4 is 8. 8 squared is 64.