24x^2 +25x - 47 53
----------------------- = -8x -3 - ---------------
ax-2 ax-2
add 53/ax-2 to each side
24x^2 +25x - 47+53
----------------------- = -8x -3
ax-2
24x^2 +25x +6
----------------------- = -8x -3
ax-2
multiply each side by ax-2
24x^2 +25x +6 = (ax-2) (-8x-3)
multiply out the right hand side
24x^2 +25x +6 = -8ax^2 +16x-3ax +6
24 = -8a 25 = 16 -3a
a = -3 9 = -3a
a = -3
Choice B
Answer:
A. 2564 cm^2
Step-by-step explanation:
There are two triangles (Which both are the same) and three different rectangles.
1. Let's solve the area of the triangles first!
Formula: bh(1/2)
10(26)(1/2)
130
2. Now, let's multiply by 2 since there's two of them:
130(2) = 260
3. So, we got 260. Let's find the area of the three rectangles!
Formula: bh
Rectangle A: 28(36) = 1008
Rectangle B: 10(36) = 360
Rectangle C: 26(36) = 936
4. Add the area of the triangles and the rectangles!
260 + 1008 + 360 + 936 = 2564
So the surface area is 2564 cm^2
Hope this helps! <3
Answer:
A. 605 mL of the 35% solution
B. 55 mL of the 95% solution
Step-by-step explanation:
It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.
Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.
So,
Amount equation: 
...(1)
Alcohol equation : 
...(2)
On solving (1) and (2), we get
Now, substitute y=55 in (1).
Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.
the answer is B because to get the total cost, first divide 450 by 50. This gives us 9. We then multiply 9 by $600 to get a total of $5400.
