Answer:
B
Step-by-step explanation:
Answer:
240 - 5x and the candle will be at 0 mm in 48 seconds
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
A 240 mm candle is burning and shrinks in height 5mm per second
<em>240 - 5x</em>
<u>Step 2: If needed solve for x</u>
240 - 5x - 240 = 0 - 240
-5x / -5 = -240 / -5
<em>x = 48</em>
Answer: 240 - 5x and the candle will be at 0 mm in 48 seconds
Graph Below: (0, 240) shows the initial start and (48, 0) shows the ending point
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer:
Given
Number of stacks = 2
Stack 1 = 6 cups; h1 = 15cm
Stack 2 = 12 cups; h2 = 23cm
Let's first find the average:
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3)
= 50 * 3/4
= 150/4
= 37.5
From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.
Step-by-step explanation:
Answer:
Step-by-step explanation:
5) -7 (-15w + 21) + 3(18 - 27w)
Step 2: 105w - 81w - 147 + 54
6)
step 3: 24w - 93