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BARSIC [14]
3 years ago
6

Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to t

he line that y=2x+4
Mathematics
1 answer:
Gwar [14]3 years ago
3 0
Y = 2x - 2

is the parallel line has a slip of 2 then your line has a slip of 2.
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A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

5c+7s+12a=2808

We also know that the children attendance doubles the adult attendance:

c=2a

The third equation is the seating capacity, which we assume is full:

c+s+a=387

We start by replacing variables in two of the equations:

c=2a\\\\s=387-c-a=387-2a-a=387-3a

Then, we solve the remaining equation for a:

5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99

Then, we solve for the other two equations:

c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90

The attendance was 198 children, 90 students and 99 adults.

8 0
3 years ago
One 16-ounce bottle of an energy drink has an average of 500 mg of caffeine with a standard deviation of 25 mg. In a carton cont
labwork [276]
<span>In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 +/- 25mg caffeine per bottle.

To calculate a carton containing 30 bottles, you just need the equation with 30. It will become: (500x30) +/- (25x30)mg= 15000 +/- 750 mg of caffeine per carton</span>
7 0
3 years ago
Find the measurements
alexandr1967 [171]

Answer:

X=75 y=90

Step-by-step explanation:

180-105=75

X=75

180-90=90

Y=90

5 0
3 years ago
At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are
zhannawk [14.2K]

Answer:

there are 10 of the other kind of cars

Step-by-step explanation:

3 0
3 years ago
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What do you think the value of represents in the function? How can you predict what the graph of a quadrati function will look l
allochka39001 [22]

Answer:

Step-by-step explanation:

Parts of the question are missing.

y = a(x-h)² + k is a vertical parabola.

If a is positive, the parabola opens upwards.

If a is negative, the parabola opens downwards.

The vertex is at (h, k)

7 0
2 years ago
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