3/10 *1 = 3/10 so 3/10 * (100/100) = 300/1000 = 3/10
(a) how much potting soil he bought last week
(b) 28 = 2p + 4
(c) 28 = 2p + 4....subtract 4 from both sides
28 - 4 = 2p...simplify
24 = 2p...divide both sides by 2
24/2 = p....simplify
12 = p......12 solves the equation
(d) He bought 12 lbs of potting soil last week
<span>6 + 2x = 24
2x = 18
x = 9
answer
9
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</span><span>3x – 5 ≥ 7
3x </span>≥ 12
x ≥ 4
answer
<span>{4, 5, 6}
</span>
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<span>4x – 3 ≥ 5
</span><span>4x ≥ 8
</span><span>x ≥ 2
answer
</span><span>{2, 3, 4}
</span>
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<span>3r ≤ 4r – 6
r </span> ≥ 6
answer
<span>{6, 7, 8, 9,10}</span>
<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.
<u>|4x + 2| + 6 = 0</u>
Subtract 6 from each side: |4x + 2| = -6
But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.
So the equation has <em>no solution</em>.
