Answer:
8/3
Step-by-step explanation:
i put equations as this:
x+40 = y
where x is galllons of pure mixture and y is the gallons of the new mixture
the other equation i id was:
x+0.2(40) = 0.25y
x+8 = 0.25y
y = 4x+32
solve using substitution
(x+40) = 4x+32
x = 4x-8
-3x = -8
x = 8/3
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
Answer
The apple is traveling at 8 meters per second
Explanation
We have the equation that relates the kinetic energy with the velocty:
![K=\frac{v^2}{2}](https://tex.z-dn.net/?f=K%3D%5Cfrac%7Bv%5E2%7D%7B2%7D)
Then, to find thevelocity when the apple has 32, we replace K = 32 j:
![\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2032%3D%5Cfrac%7Bv%5E2%7D%7B2%7D%20%5C%5C%2032%5Ccdot2%3Dv%5E2%20%5C%5C%2064%3Dv%5E2%20%5C%5C%20v%3D%5Csqrt%7B64%7D%3D8%20%5C%5C%20%20%5Cend%7Bgathered%7D)
Thus, the speed of the apple is 8meter per second
Answer:
C.) y = 5/4 x
Step-by-step explanation:
5/4 multiplied by 0.4 is 0.5
Step-by-step explanation:
![3(x + 5) = 4x + 8 \\ 3x + 15 = 4x + 8 \\ 15 - 8 = 4x - 3x \\ x = 7](https://tex.z-dn.net/?f=3%28x%20%2B%205%29%20%3D%204x%20%2B%208%20%5C%5C%203x%20%2B%2015%20%3D%204x%20%2B%208%20%5C%5C%2015%20-%208%20%3D%204x%20-%203x%20%5C%5C%20x%20%3D%207)