Let x = total emails in his inbox.
36% = 0.36
0.36x = 27. Divide each side by 0.36.
x = 75
Hank had 75 emails in his inbox.
I think false but I’m not sure
Answer:
y - 4 = 5(x - 7) or y = 5x - 31
Step-by-step explanation:
Slope-intercept form: <em>y = mx + b</em> (m = slope, b = y-intercept)
Point-slope form: <em>y - y₁ = m(x - x₁)</em> ((x₁, y₁) = known point, m = slope)
1. Slope: perpendicular to -1/5 --> 5 (negative reciprocal)
2. Insert knowns into equation: y - 4 = 5(x - 7)
3. Turn into point-slope form (assuming that is what we are looking for):
Multiply: <em>y - 4 = 5x - 35</em>
Subtract: y = 5x - 31
Well, let's say the numbers are "a" and "b"
so a * b = ab
ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a
now let's reduce "b" by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b
![\bf \begin{cases} a\cdot b\implies ab\\ 0.75a\cdot 0.5b\\ \qquad 0.75\cdot 0.5ab\\ \qquad 0.375ab \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Aa%5Ccdot%20b%5Cimplies%20%20ab%5C%5C%0A0.75a%5Ccdot%200.5b%5C%5C%0A%5Cqquad%200.75%5Ccdot%200.5ab%5C%5C%0A%5Cqquad%200.375ab%0A%5Cend%7Bcases%7D)
now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100
0.375 * 100, is 37.5%
the new size of "ab" is just 37.5% of the original "ab"
it decreased by 100 - 37.5 or 62.5%