OKAY IS THIS CORRECT AND THEN IT SAYS AT THE VERY END ‘ Jason could buy __ drinks and __ pretzels. Jason and his children went into a movie theater where they sell drinks for $4 each
and pretzels for $5 each. Jason has $65 to spend and must buy at least 14 drinks and
pretzels altogether. If x represents the number of drinks purchased and y represents
the number of pretzels purchased, write and solve a system of inequalities graphically
and determine one possible solution.
Inequality 1: Y ZY
14-X
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Inequality 2: y 24 13 - 4x
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a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²