Answer:
y=-7
Step-by-step explanation:
if g(x) is g(-2) that means that x=-2 so we plug that in so 5*-2+3
5*-2+ -10
-10+3+ -7
so y=-7
Answer:
40% of the bottle of apple juice is water
75% of the bottle of orange juice is water
Step-by-step explanation:
this is to find the percentage of apple juice that is water
(32 ÷ 80) × 100
you have to multiply by 100 because you are looking for the percentage
32÷ 80 is 2/5
2/5 × 100 is 40%
this is to find the percent of orange juice that is water
(48÷64) × 100
48 ÷ 64 is 3/4
3/4 × 100 is 75%
The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
In the question ,
it is given that
the time taken to vacate the stadium = 20 minutes
number of exits = 25 exits
capacity of the stadium = 25000 spectators .
given that ,
time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .
time taken ∝ number of spectators ∝ 1/number of exits .
to remove the proportionality sign , we write the constant
time taken = k * (number of spectators)/(number of exits) .
20 = k * 25000/25
20 = k * 1000
k = 20/1000
k = 2/100
k = 1/50 = 0.02
So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula
time taken = (0.02)*(21000/15)
= 0.02*1400
= 28
Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
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We develop the equation for each of the tracks that will be walked through by Jill and Lori.
Jill: y - 2 = ((2 - -4)/(4 - -2))(x - 4) ; y = x - 2
Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1); y = -2x + 4
The intersection of these equation is (2,0).