Answer:
The total number of feet in all the boards is 90 and 5/6 feet
Step-by-step explanation:
First, it is necessary to transform the mixed number into a fraction. This can be made following the next rule:

So, the number 8 and three fourth feet is equal to:

That means that we two boards that are 35/3 feet. So, multiplying 2 by 35/3 we get the total feets for the first type of board. That is:

At the same way, we can calculate the total number of feet for the second and third type of board as:
- Four boards that are 13 and five eighths feet:


- Two boards that are 6 one half feet:


Finally, to find the total number of feet in all the boards, we need to sum the total number of feet for every type as:

Converting this number to a mixed number we get:

Because, when we divide 545 by 6, we get 90 as a quotient, 5 is the remainder and 6 is the divisor.
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
Answer:
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Step-by-step explanation:
Answer: 107
Step-by-step explanation:
1 Remove parentheses.
16x-80<2716x−80<27
2 Add 8080 to both sides.
16x<27+8016x<27+80
3 Simplify 27+8027+80 to 107107.
16x<10716x<107
4 Divide both sides by 1616.
x<\frac{107}{16}x<
16
107
Done