Answer: 9c²
<u>Step-by-step explanation:</u>
To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.
207c³ 108c²
∧ ∧ ∧ ∧
9·23 c·c·c 9·12 c·c
∧ ∧ ∧
3·3 3·3 3·4
∧
2·2
207c³: 3·3·23 c·c·c
108c²: 2·2·3·3·3·4 c·c
GCF = 3·3 c·c
= 9c²
Sarah = 53 inches
Brother = 53 + 4 = 57 inches
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Convert inches to feet
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57 ÷ 12 = 4 feet 9 inches
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Answer: 4 ft 9 in
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Break up chain with AND statement:
(2/3)t - 1 < t + 7 AND <span>t + 7 ≤ -2t + 15
left side, we solve for t
</span>
<span>(2/3)t - 1 < t + 7
(2/3)t - t < 7 + 1
(-1/3)t < 8
t > -24
right side, we solve for t</span>
<span>t + 7 ≤ -2t + 15
t + 2t </span><span>≤ 15 - 7
3t </span><span>≤ 8
t </span><span>≤ 8/3
So our answer would be </span>
t > -24 AND t <span>≤ 8/3
as an interval, this is
</span>-24 < t <span>≤ 8/3
or in interval notation
(-24, 8/3]</span>
4m + 23 + n
p + 3
Convert variables to their numbers
4(7) + 23 + 2
8 + 3
Simplify the expression
1. 28 + 23 + 2
8 + 3
2. 51 +2
8 +3
3. 53
8 + 3
4. 53
11
5. 53/11 = 4.82
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!