Find a number such that one-half of the number is 9 less than two-thirds of the number

1 answer:

3 0

Let's say, the number is "a"
thus $\bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}$

cross-multiply and solve for "a"

You might be interested in

Janey drove 355 km, and the trip took 5 hrs. at what average was janey traveling?<br>use d=rt

stiks02 [169]

71 is the correct answer.

355 divided by 5 = 71

4 0

3 years ago

Read 2 more answers

PIT_PIT [208]

B : 4% of 780 is 31.20

4 0

3 years ago

use the value of the ratio to determine which ratio is equivalent to 7:15. Check all that apply! Question 4 options: 21:45 14:45

PIT_PIT [208]

7:15=(7*3):(15*3)=21:45

7:15=(7*9):(15*9)=63:135

21:45 and 63:135

8 0

3 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$