Answer:
Yes, her calculation is correct. The value of 40% of 75 is 30.
Step-by-step explanation:
The value of 40% of 75 is
The value of of 75 is
From the above calculation it is noticed that the value of 40% of 75 and of 75 are same, therefore the calculation is correct and the value of 40% of 75 is 30.
Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
<em>Answer:</em>
<em>r = -</em><em />
<em>Step-by-step explanation:</em>
<em>Rewrite the equation as </em><em> = m</em>
<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>
<em>(</em><em> = m^2</em>
<em>Then, you simplify each of the equation. </em>
<em>Rewrite: (</em><em> as </em>
<em />
<em>Remove any parentheses if needed.</em>
<em>Solve for r. </em>
<em>Multiply each term by r and simplify."</em>
<em>Multiply both sides of the equation by 5.</em>
<em>6a+r= m^2r⋅(5)</em>
<em>Remove parentheses.</em>
<em>Move 5 to the left of (m ^2) r </em>
<em>6a+r=5m^2)r</em>
<em>Subtract 5m^2)r from both sides of the equation.</em>
<em>6a+r-5m^2)r=0</em>
<em>Subtract 6a from both sides of the equation.</em>
<em>r-5m^2)r=-6a</em>
<em>Factor r out of r-5m^2)r </em>
<em>r(1-5m^2)=-6a</em>
Divide each term by 1-5m^2 and simplify.
r = -
There you go, hope this helps!