Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?
1 answer:
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Answer:
<u>Number of rooms reserved for the students are - 90 .</u>
Step-by-step explanation:
Firstly ,
As we know 60% of the 600 students went on the trip,
Then ,
Number of students went on the trip = 60% of 600
=
= 360
Now ,
Given - One room is reserved for 4 students ,
Therefore , Number of rooms for 360 students =
= 90
<u>Hence , the answer is 90 rooms reserved for the students.</u>
Answer:
The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.
Step-by-step explanation:
Here is the complete question
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.
y=35x; y=-0.05(x-400)²+9,492
what does the solution of the system represent in this context?
Solution
The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .
So, 35x = -0.05(x-400)² + 9,492.
Expanding the right side, we have
35x = -0.05(x² - 800x + 160000) + 9492
35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492
35x = -0.05x² +40x - 8000 + 9492
35x = -0.05x² +40x + 1492
Collecting all the terms to the left side, we have
0.05x² - 40x - 1492 + 35x = 0
0.05x² - 5x -1492 = 0
Using the quadratic formula,
We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.
The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.
We confirm that by plugging in x = 229.83 in both equations.
y = 35x = 35(229.83) = 8044.05 ≅ 8044.1
y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1
Although the information has been presented in a baffling way in this question, but I think I understood the expressions.
We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.
We can express the monster truck tax amount as.
Therefore, the total amount including tax will be .
We can now match each statement with its equivalent expression as shown below
The price of Camacho’s new truck before tax = x
The amount of tax Camacho pays = 0.13x
Camacho’s total bill for the monster truck = 1.13x
None of these = 0.87x