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jonny [76]
3 years ago
9

What is the smallest 3-digit number of the form aaa such that it is divisible by 9? (Here, a represents a digit.)

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

If all three digits need to be the same (I assume that's what aaa means) it's 333

Step-by-step explanation:

For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:

X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)

So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.

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Question 4
polet [3.4K]

Answer:

12/7 hours

Step-by-step explanation:

First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.

Adding them together, 1/3+1/4= 7/12.  

This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that

7/12 * time = 1 job done

time = 12/7 hours.

7 0
2 years ago
Tara has 39 red pens she has to get 125 pens how many more pens does she need?
Crank

Answer: She needs 86 more pens

Step-by-step explanation: She starts off with 39 pens and she needs to get to 125 so you would subtract 39 from 125 and you would find the answer to how many more she needs.

4 0
3 years ago
Read 2 more answers
36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0
3 years ago
Which systems of equations have no solution?
vlada-n [284]

Answer:

The last block where is says y=13-2x and 4x-y=-1 is the correct answer

I got a 100% in this test. It is right

Plz give brainliest :)

5 0
3 years ago
Read 2 more answers
Can someone help with this math word problem.
iragen [17]

Answer:

Step-by-step explanation:

Time taken to eat the pizza in seconds =28×60=1680 seconds

If it takes 20seconds to lift, bite and chew,

Then the total bites taken to finish the pizza =1680/20 =84 bites

If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²

Total area of pizza =756cm²

If area =(πd²)/4,

Then d² =(4×A)/π

d²=4×756/3.14=963.06

d=√963.06 = 31.03cm

1 centimeter=0.394inches

31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)

The diameter of the pizza is 12inches

7 0
4 years ago
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