step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton
step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate
the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55
alalternative method
</span>step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb
step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>
</span>
Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.
So, QR = LN
Hence, we can set up an equation as following:
4x + 2 = x + 7
4x + 2 - x = x + 7 - x Subtract x from each sides.
3x + 2 = 7 By simplifying.
3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.
3x = 5
Divide each sides by 3 to isolate x.
So, 
Next step is to plug in in QR = 4x+2 to get length of QR.
So, 
Since 2 can be written as 2/1.
By multiplying the second fraction by the common denominator 3.
By simplifying the second fraction.
So, 
Answer:
23
Step-by-step explanation:
Answer:
He helps Robin Hood out of the river.
Step-by-step explanation:
The slope of the tangent line to the curve at (8, 2) is given by the derivative 
at that point. By the chain rule,
Differentiate the given parametric equations with respect to 
:
Then
We have 
and 
when 
, so the slope at the given point is 
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation
Alternatively, we can eliminate the parameter and express 
explicitly in terms of 
:
Then the slope of the tangent line is
At 
, the slope is again 
, so the normal has slope +4, and so on.
