Answer:
$7.10
Step-by-step explanation:
Step 1: We make the assumption that 35.5 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=35.5$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=35.5(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
Step 7: Taking the inverse (or reciprocal) of both sides yields
Hope this helps <3
Increase $110,000 by 20% 3 times.
110,000 x 0.2 = 22000
(0.2 is 20% as a decimal, we needed to convert it to multiply it)
So we must add 22000 to 110,000, then take 20% of the new cost, and repeat.
Add them
110,000 + 22000 = 132000
Take 20% of new value
132000 x 0.2 = 26400
Add that
132000 + 26400 = 158400
Take another 20% of that
31680
Add them
158400 + 31680 = 190080
So the value is now $190,080
A much more efficient way to do this would be multiplying 1.2 instead of 0.2, and skipping the adding part, as you already took 100% of it and are adding 20% more.
Hope this helps!
Answer:
9x + 17
Step-by-step explanation:
(3x - 1) + (4x + 7) + (2x + 11)
= 3x - 1 + 4x + 7 + 2x + 11
= 3x + 4x + 2x - 1 + 7 +11
= 9x + 17
Answer:
P = 2x + 150
Step-by-step explanation:
P = 2x + 150
Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
ft
Hence, the height of fire hydrant=3 ft
