Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
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First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:
If they paid full price, the video game would cost $64
The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.
49/8=6 (nearest whole number)
5cos (2x)+7=cos (2x)+8, 4cos (2x)=1, cos (2x)=1/4, 2x=arccos(1/4), x=(1/2)arccos (1/4). I used x instead of theta, and arccos is cos inverse
80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.
