First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply<span> the numerators and the denominators and divide the numerator by the denominator of the product.</span>
Answer:
Left to right: Zoe, Johana, Kami, Craig
Step-by-step explanation:
The values of x can be found by solving each of the equations.
A) x/-12 -2 = -22 ⇒ x = -12(-22 +2) = 240 . . . (first step: add 2)
B) 3x -21 = 15 ⇒ x = (15 +21)/3 = 12
C) -12x +2 = -22 ⇒ x = (-22 -2)/-12 = 2 . . . (first step: subtract 2)
D) 1/2x +66 = 126 ⇒ x = 2(126 -66) = 120
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Zoe's equation requires adding 2 as the first step. It is equation A.
Craig's equation's solution is half that of Zoe's. 240/2 = 120. Craig's is equation D.
Kami's equation requires subtracting 2 as the first step. It is equation C.
Johana's equation's solution is 6 times that of Kami's. 6·2 = 12. Johana's is equation B.
The names that go in the blanks, left-to-right, are ...
Zoe, Johana, Kami, Craig
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
I believe the answer is x=120
