Whenever you see the phrase "what percent" in a question, immediately write down x/100. In this instance, you are going to have two fractions, x/100 = $4.50/ $6.00.
Next you cross multiply. $6x = $4.50 x 100
This simplifies down to 6x =450. Divide both sides by 6 and you get 75. This means 4.5 is 75% of 6.
I hope this helps! Good Luck!
A parabola in analytical geometry is a curve drawn that has either 2 x-intercepts or y-intercepts. You can see visually that it is a parabola if it forms an arc that passes either the x-axis or y-axis twice. Nevertheless, it would have two roots, so the equation must be quadratic.There are 2 possible equations for a parabola:
(x-h)² = +/- 4a(y-k) or
(y-k)² = +/- 4a(x-h), where
(h,k) are the coordinated of the vertex
a is the distance of the focus from the vertex
From the problem, it says that the vertex is at the origin, so the coordinates are (0,0). That means h=0 and k=0. Also, the focus is a=3. Thus, the possible equations for the reflector are
x² = +/- 12y and y² = +/- 12x
Any of those are possible because the problem mentions that it can open anywhere. Therefore, it could open downwards(-) or upwards(+) if it passes the x-axis twice; or to the left(-) or to the right(+) if its passes the y-axis twice.
Answer:
160 cups of lemonade and 80 packages of cookies.
Step-by-step explanation:
l = lemonade
c = cookies
l+1.5c=280
2c=l
Substitute.
3.5c=280
Simplify.
c=80
Substitute into the second equation.
l=160.
Plug it back into the equations to check.
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>