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>
The measures of two complementary angles are 64 degrees and 26 degrees
<h3><u>Solution:</u></h3>
Let the larger angle be "a" and smaller angle be "b"
<em>Two angles are Complementary when they add up to 90 degrees</em>
so we get,
a + b = 90 ------ eqn 1
Given that measure of the larger angle is 12 more than twice the measure of the smaller angle
larger angle = 12 + 2(smaller angle)
a = 12 + 2b --- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>
Substitute eqn 2 in eqn 1
12 + 2b + b = 90
12 + 3b = 90
3b = 90 - 12
3b = 78
<h3>b = 26</h3>
Therefore from eqn 2,
a = 12 + 2b
a = 12 + 2(26)
a = 12 + 52
<h3>a = 64</h3>
Thus the measures of two complementary angles are 64 degrees and 26 degrees
Answer:
-18
Step-by-step explanation:
-3xy,X=2 ,y=3
-3(2)(3)
-3(6)
=-18
Answer:
There are 28 fruits in each pile.
Step-by-step explanation:
We are given the following in the question:
Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.
Consider the diophantine equation:
We obtain the greatest common divisor of (63,-23).
The greatest common divisor f 63 and -23 is 1.
Therefore, there exist 
such that
By applying extended Euclidean Algorithm, we have,
Multiplying -7 on both sides, we get,
Thus, we get,
Thus, there are 28 fruits in each pile.
(8 plus of minus radical 64 + 216
divided by
6
(8 + or - 16.73320053)/6
