<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.
Parallel:
y
=
2
3
x
−
11
3
y=
3
2
x−
3
11
perpendicular:
y
=
−
3
2
x
+
5
y=−
2
3
x+5
<span>He is budgeting too much for transportation.
He has used the highest recommended percentages to calculate the amounts for the three categories.
He is budgeting too much for housing.
He has used the lowest recommended percentages to calculate the amounts for the three categories. hope this helps :)</span>
Answer: $ 45,444.44
Step-by-step explanation:
Given: Jill budgets 18% of her yearly salary for clothing.
His total clothing bill for the year is $8,180.
Let x= her yearly salary
Then according to the question , we have
18% of x = 8180
Convert 18% into decimal by dividing it by 100 , we get
0.18 x= 8180
Multiply both sides by 100
⇒ 18x = 818000
Divide both sides by 18 , we get
x= 45444.44
Hence, her yearly salary = $ 45,444.44
