<h3>
Solution (a):</h3>
<em>~Let's change 9.9² to 10² since we have to estimate.~</em>
<u>We know that:</u>
- 10² = 100
- Given expression: 9.9² × 1.79
<u>Solving the expression:</u>
- 9.9² × 1.79
- => 10² × 1.79
- => 100 × 1.79
- => 179
The estimated value of 9.9² × 1.79 is 179.
<h3>Solution (b):</h3>
<em>~Let's change √97.5 to √100 and 1.96 to 2</em> <em>since we have to estimate.~</em>
<u>We know that:</u>
- √100 = 10
- Given expression: √97.5 ÷ 1.96
<u>Solving the expression:</u>
- √97.5 ÷ 1.96
- => √100 ÷ 2
- => 10 ÷ 2
- => 5
The estimated value of √97.5 ÷ 1.96 is 5.
Total number of ways to make a pair:
The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .
Total ways to make a pair = 7 x 6 = 42 ways .
BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.
If every pair plays 2 matches, then (21 x 2) = <em><u>42 total matches</u></em> will be played.
Now, is that an elegant solution or what !
Answer:
1) 4
2) 1
3) -7
4) 13
Step-by-step explanation:
Instructions:
a) Subtract or add the slope from each side
( it doesn't matter which one you pick )
b) Subtract or add the # next to the slope from each side
( it doesn't matter which one you pick )
c) Divide Each number by the slope
d You have you answer
____________________________________________
1) 9x - 35 = - 7x + 29
+7x + 7x
_____________________
16x - 35 = 29
+ 35 +35
_____________________
16x = 64
_____________________
16 16
x = 4
2). - 2x - 2 = 9x - 13
+2x +2x
_____________________
- 2 = 11x - 13
+ 13 + 13
_____________________
11 = 11x
_____________________
11 11
1 = x
3). 3x + 29 = - 5x - 27
+5x + 5x
_____________________
8x + 29 = - 27
-29 -29
_____________________
8x = -56
_____________________
8 8
x = -7
4). x - 11 = 3x - 37
- x - x
______________________
-11 = 2x - 37
+37 +37
______________________
26 = 2x
_______________________
2 2
13 = x
Hope this helps! (:
Answer:
I believe it is A
Step-by-step explanation:
Let me know if it is wrong
Answer:
invalid conclusion
Step-by-step explanation:
