Answer:
25
i got u
Step-by-step explanation:
Answer:
B = $49 + $99m is a good equation; they don't actually ask for the number of months to be found, but I showed it anyway
Step-by-step explanation:
Let B be the total bill amount.
Let m be the number of months of service provided.
Then the bill total,
B, is $49 for install + $99 times the number of months of service.
B = $49 + $99 x m
*** <u>B = $49 + $99m</u>
Now, we know B is $544, so
544 = 49 + 99m
<u>-49</u> <u>-49</u>
495 = 99m
495/99 = 99m/99
5 = m
*** After <u>5 months</u>, the bill is $544
2/5 + 1/2 = 9/10
2/5 x 2/2 = 4/10
1/2 x 5/5 = 5/10
4/10 + 5/10 = 9/10
9/10 of the ice cream cones sold were either chocolate or vanilla.
To find the volume of L-blocks<span> in each worksheet. To </span>find the volume<span> of a triangular prism, </span>find<span> the area of a triangle and multiply the value with the height of the prism.</span>
1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.