<h3>
Answer: D) 3/150</h3>
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Explanation:
With the use of a calculator, we see that,
- 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
- 4/7 = 0.5714285714285714..., the block "571428" repeats forever
- 1/3 = 0.333333.... the 3s go on forever
- 3/150 = 0.02
So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
Answer:
262.25 inches
Step-by-step explanation:
65% of 165 is 107.25
107.25+165=272.25
so the truck is 262.25 inches long
<span>y = 3x - 7
3 = slope
-7 = y intercept
This line would cross the y intercept at -7, and go up by 3 (slope). </span>
D. Since the dark part of the boomerang is on the different side, it had to have been rotated
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
