Answer: After working for 33 
hours a week
Step-by-step explanation:
Let us write equations to represent these two places. Let x be hours worked and y be money earned.
Tim Hortons:
$200 + $5x = y
McDonalds:
$300 + $2x = y
Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.
$200 + $5x > $300 + $2x
$5x > $100 + $2x
$3x > $100
x > 
x > 33.3334
Tim Hortons is the better employer after an employee has worked for 33 hours a week.
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The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Rectangle , think about what cutting the cylinder in half would make the inside image look like !!
30 gallons of red paint & 20 gallons of blue paint
Step-by-step explanation:
The ratio of red to blue paint drops to make purple paint is 3 : 2
Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)
If 5 in the ratio = 50; what about 2 & 3
5 = 50
2 = x
After cross multiplication;
5x = 50 * 2
X = 100/5
X = 20
The same for ratio 3
5 = 50
3 = y
5y = 50 * 3
y = 150/5
y = 30
The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint
Learn More:
For more on ratios check out;
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Answer:
49/4
Step-by-step explanation:
x^2 + 7x = 4
Take the coefficient of x
7
Divide by 2
7/2
Square it
(7/2) ^2 = 49/4
Add this to each side
x^2 + 7x +49/4= 4+49/4
