Answer:
I would assume $10 is the cost of the booth and 5 is how much she earns for each T-Shirt, so the equation would be 5x-10=65. Assume $65 is what she earned.
Therefore, the equation may be: (your question did not specify) 5x-10=65. so x is 15. Therefore, she sold 15 T-Shirts.
Correct Form:
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To find probability, you'd have to find the total number of marbles (5+3+6+6=20), and since there are 3 blue marbles, the probability of picking one is 3 out of 20, or 3/20
If that blue marble isn't replaced, there will then be 19 marbles, and 2 blue ones. So the probability of him picking another blue marble is 2/19
Answer:
Mixed number= 3 1/3
Improper fraction= 10/3
Step-by-step explanation:
lol sorry :/
Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that:
or another way to think of it would be:
. So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:
![x^8-16 = (x^4-4)(x^4+4)](https://tex.z-dn.net/?f=x%5E8-16%20%3D%20%28x%5E4-4%29%28x%5E4%2B4%29)
Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:
![x^4-4 = (x^2-2)(x^2+2)](https://tex.z-dn.net/?f=x%5E4-4%20%3D%20%28x%5E2-2%29%28x%5E2%2B2%29)
So completely factored form is: ![(x^2-2)(x^2+4)(x^4+4)](https://tex.z-dn.net/?f=%28x%5E2-2%29%28x%5E2%2B4%29%28x%5E4%2B4%29)
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because
. and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes:
just something that might be useful in some cases.