Answer:
Solution set = {25}
Step-by-step explanation:
=>
Dividing both sides by -1
=>
Taking square on both sides
=> x = 25
<em><u>Solution set = {25}</u></em>
X=#of flute players
4x+x=70
5x=70
x=14
There are 14 flute players.
Step-by-step explanation:
we need to find the number n of sold boxes, so that the income (sales) and costs (expenditures) are equal. this is called the break even point. any more boxes sold will then result in a profit, actually gaining money. and if she cannot reach that number of sold boxes, then she will make a loss.
so,
n×11 = n×3 + 24
n×8 = 24
n = 3
it will take 3 sold boxes of cards to break even.
at that point she will have spent $24 + 3×$3 = $33, and her sales will be 3×$11 = $33.
Answer:
11/12
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
2/12 + 9/12 = 11/12
Try this solution:
1. Given: α:4x-y+2z=-4 and β:x+y-4z=3.
if vector n₁⊥α and n₂⊥β, then required cosine is:
where n₁*n₂=4*1+(-1)*1+2*(-4) and |n₁|*|n₂|=√(4²+1²+2²)*√(1²+1²+4²).
2. Using the formula of cosine:
answer: ≈0.2572