Answer: (-28,-4)
Step-by-step explanation:
Multiply the x and y coordinate values by the scale factor to find the image.
-7 * 4 = -28
-1 * 4 = -4
(-28,-4)
Answer:
A
Step-by-step explanation:
Ur answer is A for the above question
Answer:
30
Step-by-step explanation:
We need to find the greatest common factor of 120 and 144.
First, write the prime factorization of both:
120 = 2³×3×5
144 = 2⁴×3²
Both have 2³ and 3 in common, so the GCF is:
GCF = 2³×3
GCF = 24
So the side length is 24 cm. The number of squares along the width is:
120 / 24 = 5
And the number of squares along the length:
144 / 24 = 6
So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.
Answer:
<em>3.75x = 450 + 1.50x</em>
<em>They should sell 200 bags of popcorn to break even</em>
Step-by-step explanation:
<u>Business Modeling</u>
When modeling the operation of a business, there are some magnitudes that should be managed to properly control the profits of the business. Those magnitudes are Costs, Revenue, and Profits.
The profit is the difference between the costs and the revenue as follows:
P(x) = R(x) - C(x)
Where x is the number of units produced and sold.
The break-even level is the value of x that produces zero profits, i.e.,
R(x) = C(x)
The costs associated to sell popcorn consist of a fixed amount of $450 plus a variable cost of $1.50 for every popcorn. Thus the total cost function is:
C(x) = 450 + 1.50x
The income or revenue is the selling price times the number of popcorns:
R(x) = 3.75x
The break-even level can be calculated by solving the equation:
3.75x = 450 + 1.50x
Solving the equation:
3.75x - 1.50x = 450
2.25x = 450
x = 450/2.25
x = 200
They should sell 200 bags of popcorn to break even