Answer:
You would have 1/6 of your money remaining.
Step-by-step explanation:
Let's write an equation for this.
1 - (2/3 + 1/6)
First, let's multiply the numerator and denominator of 2/3. You get 4/6!
1 - (2/3 + 1/6)
1 - (4/6 + 1/6)
Next, let's add 4/6 and 1/6. You get 5/6!
1 - (4/6 + 1/6)
1 - 5/6
Finally, let's turn 1 into 6/6 and do 6/6 - 5/6!
1 - 5/6
6/6 - 5/6
1/6
You would have 1/6 of your money remaining.
Answer:
<span>=3<span>√6</span>−3<span>√5</span></span>
Explanation:
<span>3<span><span>√5</span>+<span>√6</span></span></span>
We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>
<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>
<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>
<span>=−3<span>√5</span>+3<span>√6</span></span>
<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>
Answer:
#5: d=22, #6: 
, #7: 
Step-by-step explanation:
#5:
#6:
#7:
Answer:
12
Step-by-step explanation:
5 + b ÷ (11 - 9)
Substitute b = 14
5 + 14 ÷ (11 - 9)
Work the order of operations from left to right
Since there are no exponents, parentheses first
5 + 14 ÷ (11 - 9)
5+14 ÷ 2
Then division
5+7
Then addition
12
