9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
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The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
Answer:
Correct
Step-by-step explanation:
4y = 3x Divide each side by 4
4y ÷ 4 = 1y
3x ÷ 4 = 0.75x
12y = 9x Divide each side by 12
12y ÷ 12 = 1y
9x ÷ 12 = 0.75x
We can see in both equations that 1y = 0.75x
(1y = just y) So the constant of proportionality can be written as y = 0.75x
All of your explanations and descriptions are accurate.
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
Answer:
8.212°
Step-by-step explanation:
Hypotenuse^2=base^2+perp^2
(8)^2=(7)^2+(perp)^2
64=49+(perp)^2
64/49=perp^2
1.306=perp^2
Now taking sq root on both sides
Perp=√1.306
Perp=1.142
Sin C=opposite/hypotenuse
Sin C=1.142/8
Sin C=0.14285
C=Sin^-1 0.14285
C=8.212°
Answer:
(a)8.0mg
(b)36.87 hours
(c)-0.168
Step-by-step explanation:
The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function 
(t in hours)
(a)After 12 Hours
(b)If A(t)=5mg
Then:
(c)
