M-7<6
add 7 to each side
M-7 +7 < 6+7
M < 13
this is true for all values of M less than 13
Answer: B= -54t +367
N=-50t + 347
so in total would be 5 HOURS
Sally has 600 ml of drink
Karen has 600 ml of lime juice
When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:
pineapple = 2/12
orange = 7/12
lime = 3/12
Sally has 12 parts = 600 ml of drink
. . pineapple = 2/12*600ml = 100 ml pineapple
. . orange = 7/12*600ml = 350 ml orange
. . lime = 3/12*600ml = 150 ml lime
We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink
Karen has 12 parts = 2400 ml of drink
. . pineapple = 2/12*2400ml = 400 ml pineapple
. . orange = 7/12*2400ml = 1400 ml orange
. . lime = 3/12*2400ml = 150 ml lime
Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>
Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13
Answer:
point form: (-2,7)
equation form: X = -2, Y = 7
