Let missing side be x
Using basic proportionality theorem
For this case we have the following quadratic equation:
Dividing by 3 to both sides of the equation we have:
We take common factor "x" from the left side of the equation:
Thus, the values of "x" that satisfy equality are:
Answer:
The solutions are:
Answer:
A, D, E (probably preferred)
B, C, F (also true)
Step-by-step explanation:
"This situation" problems are almost always ambiguous. The first problem is to figure out what it is about "this situation" that you want to model.
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If we want to model concession stand revenue in a general way, then statements B, C, and F could represent "this situation." No specific values can be determined from this model.
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More likely, we want to model the details of sales and revenue, so we want to know the exact numbers of water bottles and hamburgers that were sold. For "this situation," we can assign variables to the numbers of items of each type, and write equations for the total number of items and for the revenue their sales generates. Appropriate statements about this interpretation of the problem are those of A, D, and E:
A: x could represent bottles sold
D: y could represent hamburgers sold
E: The system of equations could be 2.50x +5.50y = 1325; x +y = 350.
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The solution to the last model is 200 bottles were sold for revenue of $500, and 150 hamburgers were sold for revenue of $825.
Answer:
y = 3/7x + 51
Step-by-step explanation:
y = 3/7x + 11 is parallel to the line so it means that both of their gradient are same so:
y = mx + c
m= gradient point = (-21 , 42)
= 3/7
now we sub the m and the point into the formula which is y= mx+c because we should find the c first then we can find the equation of the line:
42 = 3/7 (-21) + c
42 = -9 + c
42 + 9 = c
51 = c
c = 51
now you hv to rewrite again the equation become y= 3/7x + 51
So now your final answer is : y = 3/7x +51
Answer:each class would buy 35 rolls.
Step-by-step explanation:
Let x represent the number of rows of either floral sheeting or vinyl glasses that each class would buy.
The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. This means that the total cost of buying x floral sheetings would be
307 + 69x
The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. This means that the total cost of buying x vinyl grass would be
342 + 68x
Since they are buying the same number of rolls to cover the same area, then
307 + 69x = 342 + 68x
69x - 68x = 342 - 307
x = 35
