Natalie makes potato cakes in a restaurant.
1 answer:
A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.
<h3>What is a Ratio?</h3>A ratio shows us the number of times a number contains another number.
Given that the ratio of the ingredients is,
weight of potato: weight of cheese: weight of onion = 9: 2:1
Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,
Hence, the value of x is 500.
Thus, the amount of cheese that will be needed is 2x,
Given that the cost of 175g of cheese is £2.25, therefore, the cost of 1g of cheese will be,
Now, the cost of 1000g of cheese will be,
Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.
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Answer: The graph in the bottom right-hand corner
(see figure 4 in the attached images below)
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Explanation:
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Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.
After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.
