9514 1404 393
Answer:
1.75 ounces
Step-by-step explanation:
The total weight of ingredients is ...
21 + 10.1 + 14.4 = 45.5 . . . ounces
Divided evenly into 26 bags, each bag will hold ...
(45.5 oz)/(26 bags) = 1.75 oz/bag
There are 1.75 ounces of mix in each bag.
Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:

Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:

Square each expression:

Combine like terms:

Add:

We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!
8/10<span> is usually written 4/5, so yes it is irrational. </span>
Answer:
35th term = 209
Step-by-step explanation:
The sequence is 5+6...+6
So since 5 is the first term, we add 34 times 6 in order to find the 35th term
5 + 34*6 = 209
Ok so
total capacity that all boats ordered can carry should be at least 132
total capacity that all boats ordered can carry =number of boats times number of people each boat can carry
people each boat can caryy=8 people
x=numbe of boats
132=x times 8
divide both sides by 8
132/8=x times 8/8
16.5=1x
16.5=x
you can't order 0.5 boats so round up to nearest whole
16.5 to 17
answer is 17 boats