Answer:
Okays so for 100 guests we can make the equation $5000 ÷ 100 = $50.00
For 100 guests at the wedding it would cost <u>$50.00</u> per plate
For 45 guests we can make the equation $2750 ÷ 45 = $61.111111111111, it would be a repeating decimal
For 45 guests at the wedding, it would cost <u>$61.111111111111</u>
I hope that this can help you! ^‿^
Multiply x<span> and </span>3
<span>Multiply x and 1</span>
<span>The x just gets copied along.</span>
<span>The answer is x</span>
x
<span>3*x evaluates to 3x</span>
Because of the minus sign
<span>3x becomes - 3x</span>
<span>The answer is -3x</span>
<span>Multiply y and 2</span>
<span>Multiply y and 1</span>
<span>The y just gets copied along.</span>
<span>The answer is y</span>
y
<span>2*y evaluates to 2y</span>
<span>-3*x-2*y evaluates to -3x-2y</span>
<span>The answer is -3x-2y-2</span>
<span>-3*x-2*y-2 evaluates to <span>-3x-2y-2</span></span>
<span><span>so the first one is right</span></span>
<span><span>
</span></span>
In this question there are several information's of immense importance already given.
The number of pair of gloves that the merchant bought = 30 dozens
1 dozen = 12 gloves
Also
1 pair = 2 gloves
Then
The total numberof individual gloves bought
by the merchant = 30 * 12 * 2
= 720
The correct option among all the options given in the question is option "C" and it can be checked via the above solution.
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is 
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is 
. Since function is reflected about x-axis, so our function will be 
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
