Answer:
Step-by-step explanation:
Given
See attachment
Required
Find x
From the attachment, we have:
Because both triangles are similar, we use the following equivalent ratios:
Substitute values for each parameter
Convert to fractions
Simplify the right-hand side
Cross Multiply
Collect Like Terms
Solve for x
1 and 3/4 cups = 4/4 + 3/4 = 7/4 cups This equals 1 batch. If we want 2.5 batches, then we multiply by 2.5 2.5 x 7/4 = x 4.375 cups = x You can also add the cups one batch and then a half batch at a time. 7/4 + 7/4 + (7/4*1/2) = x multiply the first two (7/4) by 2/2 so there is a common denominator of 8 Then you have 14/8 + 14/8 + 7/8 = 35/8 = 4.375 cups
The simplest way to do this is to use the formula where
is equal to slope.
(2--6)/(4--2)=
8/6.
Hope this helps!
Answer:
After 120 seconds
Step-by-step explanation:
Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.
Basically, what we want to do here is to
calculate the value with which 30 and 40 have the same multiples or we want to
calculate the lowest common multiple of 30 and 40
The multiples of 30 are 30,60,90,120 etc
The multiples of 40 are 40,80,120 etc
We can see that the lowest common multiple of both is 120
So therefore the spotlights will change colors at the same time after 120 seconds
