Answer:
We should add 2.4 quarts of pure orange juice to 3.6 quarts 10% orange juice to make 6 quarts of 40% orange juice.
Explanation:
Let p represent number of quarts of pure orange juice and q represent number of quarts of 10% orange juice.
We have total quarts required = 6
So, p+q =6 --------------------equation 1
The orange content of 6 quarts = 40 % = 6 x 40/100 = 2.4 quarts.
Orange content in p pure juice = p quarts.
Orange content in q, 10% juice = q x 10/100 = 0.1 q quarts
So we have, p + 0.1 q = 2.4 --------------------equation 2
Equation 1 - Equation 2 gives
0.9 q = 6 -2.4
q = 3.6 quarts
p + 3.6 = 6
p = 2.4 quarts
So we should add 2.4 quarts of pure orange juice to 3.6 quarts 10% orange juice to make 6 quarts of 40% orange juice.
P= 32cm
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48x^9−72x^7+36x^5 I got this by,
Let's simplify step-by-step.<span><span>9<span>x5</span></span>+<span><span>3x</span><span><span>(<span><span>4<span>x4</span></span>−<span>3<span>x2</span></span></span>)</span>2</span></span></span>Distribute:<span>=<span><span><span><span><span>9<span>x5</span></span>+<span>48<span>x9</span></span></span>+</span>−<span>72<span>x7</span></span></span>+<span>27<span>x5</span></span></span></span>Combine Like Terms:<span>=<span><span><span><span>9<span>x5</span></span>+<span>48<span>x9</span></span></span>+<span>−<span>72<span>x7</span></span></span></span>+<span>27<span>x5</span></span></span></span><span>=<span><span><span>(<span>48<span>x9</span></span>)</span>+<span>(<span>−<span>72<span>x7</span></span></span>)</span></span>+<span>(<span><span>9<span>x5</span></span>+<span>27<span>x5</span></span></span>)</span></span></span><span>=<span><span><span>48<span>x9</span></span>+<span>−<span>72<span>x7</span></span></span></span>+<span>36<span>x<span>5</span></span></span></span></span>
Answer:
B b^12
Step-by-step explanation:
power to the power rule
(x^a)^b = x^(a*b)
so (b^4)^3 = b^(4*3) = b^12
