Answer:
- x + y ≤ 600
- 5x +7y ≥ 3500
- it is possible
Step-by-step explanation:
a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.
x + y ≤ 600 . . . . . . . limit imposed by available seating
5x +7y ≥ 3500 . . . . required revenue to meet expenses
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b) For x = 330, the first inequality puts one limit on y:
330 +y ≤ 600
y ≤ 270
And the second inequality puts another limit on y:
5(330) +7y ≥ 3500
7y ≥ 1850 . . . . subtract 1650
y ≥ 264.3 . . . . divide by 7
The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.
Given :
12 foot tall street light is making a 18 foot shadow at the same time a nearby building is making a 72 feet shadow.
To Find :
How tall is the building.
Solution :
Since, the time period is same so the angle angle of elevation is equal i.e the ratio of height of building is equal to height of shadow.
Let, height of building is h feet.
So,
![\dfrac{12}{18}=\dfrac{x}{72}\\\\x=\dfrac{72\times 12}{18}\\\\x= 48\ feet](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B18%7D%3D%5Cdfrac%7Bx%7D%7B72%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B72%5Ctimes%2012%7D%7B18%7D%5C%5C%5C%5Cx%3D%0948%5C%20feet)
Therefore, height of building is 48 feet.
Hence, this is the required solution.
Answer:
B) Jill omitted a factor pair, which affected the GCF and factored expression.
Step-by-step explanation:
Jill is factoring the expression 13xy-52y. Her work is shown below.
Factors of 13xy: 1, 13, x, y
Factors of 52y: 1, 2, 26, 52, y OOPSIE she forgot 4,13
GCF: y
Factored expression: y(13x-52) 13y (x-4)
Y=2x-4
slope is what’s with the x (so it needs the be 2x) and y intercept it the other number (so just the one with -4)
Answer:
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Step-by-step explanation: