i will bite - this is not a complete ans but an approximation:
there are 100*99*98 ways to pick 3 different no. out of 100
if 2 of the no. picked are >10, then there is no way the third no. can be larger than the products of the other 2 nos.
there are 90*89*98 ways to pick 2 nos between 10 and 100 and a third no. between 1 and 100.
So an approximate ans = 100*99*98 - 90*89*98 = 185220 but the actual ans will be smaller than this.
15) 1,054,850
16)5,226
(Sorry for my sloppy work but I used these steps to solve it)
Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon
<u>Step-by-step explanation:</u>
Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.
- bought the same lengths of red and yellow: R = Y
- after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y
Use substitution method to solve:
5(R - 836) = R
5R - 4180 = R <em>distributed 5 on the left side</em>
4R - 4180 = 0 <em>subtracted R from both sides</em>
4R = 4180 <em>added 4180 to both sides</em>
R = 1045 <em>divided both sides by 4</em>
9514 1404 393
Answer:
23) 35.77 in²
25) 48.19 cm²
Step-by-step explanation:
Use the appropriate area formula with the given information.
__
23) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . base b, height h
A = 1/2(9.8 in)(7.3 in) = 35.77 in²
__
25) The area of a parallelogram is given by the formula ...
A = bh . . . . . . base b, height h
A = (7.9 cm)(6.1 cm) = 48.19 cm²
_____
The <em>height</em> in each figure is <em>measured perpendicular to the base</em>. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.
