To tell if an equation has infinite solutions, the equation will be equal to each other.
For example,
x = x
x + 1 = x + 1
x - y = x - y
And so on...
And in special cases,
0x = 0
0x = 0(y + 1)
They have infinite solutions because there's no constant to determine the variable.
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.
Answer:
In order to go from the first point to the second, we need to rise from 4 to 7, i.e. by 3. We also need to run from -4 to -2, i.e. by 2. Therefore the slope is 32 .
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
This is because Tia's amount of money minus Dana's amount of money should be at least 5
Answer:
The bag of chips and the pretzel are 14.
The cookie is 8.
The popcorn is 13.
"?" is 222.
Step-by-step explanation:
We know that the bag of chips and the pretzel are equal to each other so all we have to do to figure them out is to divide 42 by 3, which gets us 14.
So, now we know the bag of chips and the pretzel are both 14.
To figure out what the cookie is, we take 14 away from 30, which gets us 16. Two cookies are 16 which means that one cookie is 8.
To figure out what the popcorn is, we have to take away 16 from 29 since two cookies are 16. 29 minus 16 is 13.
Popcorn therefore is 13.
Two popcorns' is 26.
26 multiplied by 8 is 208.
208 plus 14 is 222.
Hope that made sense and answered your question! :)
