You times through
sqrt24 - 3sqtr45
2sqrt6 - 9sqrt5
Answer: 8/14, 12/21, and 288/504
Step-by-step explanation: To find 3 fractions that are equivalent to 4/7, we either multiply or divide the numerator and denominator by the same number.
If we multiply 4/7 by 2 in both the numerator and denominator, we get the equivalent fraction 8/14.
If we multiply 4/7 by 3 in both the numerator and denominator, we get the equivalent fraction 12/21.
If we multiply 4/7 by 72 in both the numerator and denominator, we get the equivalent fraction 288/504.
These are just 3 possible answers.
Answer: 312 students purchased a ticket
Step-by-step explanation:
Let x represent the number of raffle tickets sold to parents.
Let y represent the number of raffle tickets sold to students.
The school sold 371 tickets. This means that
x + y = 371
x = 371 - y
The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that
6x + 1.5y = 822 - - - - - - - -1
Substituting x = 371 - y into equation 1, it becomes
6(371 - y) + 1.5y = 822
2226 - 6y + 1.5y = 822
- 6y + 1.5y = 822 - 2226
- 4.5y = - 1404
y = -1404/-4.5
y = 312
x = 371 - y
x = 371 - 312
x = 59
Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
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2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
