Answer:
x = -8
Step-by-step explanation:
-8x + 3(x - 5) = 25
Distribute the 3 into the (x - 5).
-8x + 3x - 15 = 25
Combine like terms.
-5x - 15 = 25
Add 15 to both sides.
-5x = 40
Divide both sides by -5.
x = -8.
Proof:
-8x + 3(x - 5) = 25
Substitute variable.
-8(-8) + 3((-8) - 5) = 25
Subtract inside parenthesis.
-8(-8) + 3(-13) = 25
Multiply -8 and -8.
64 + 3(-13) = 25
Multiply 3 and -13.
64 + (-39) = 25
Add 64 and -39.
25 = 25
Based on the given data above, the equation below has been generated,
(X mL)(0.003) + 75 mL (0.04) = 0.005 (75 + X); X being the amount in mL of the sugar solution, by further simplification of the generated equation, it can be said that 1312.5 mL of 0.30% sugar solution should be added to 75 mL of 4% solution to come up with a 0.5% sugar solution.
Answer:
Step-by-step explanation:
<u>The volume of the rectangular prism is:</u>
- V = lwh
- V = 5/9*1/5*4/7 = 36/7 ft³ or 5 1/7 ft³
Parallel lines share the same slope. y=3x+7 has a slope of 3, so that is the slope of the parallel line. Then use y=mx+b an plug in (2,4).
y=3x+b
4=3(2)+b
4=6+b
b=-2
So the equation is y=3x-2
