All categories

3 years ago

Find the least number between 200 and 500 which leaves a remainder of 3 in each case when divided by 8 ,10,12 and 30.

2 answers:

Nookie1986 [14]3 years ago

5 0

Well, that means that it is 3 more than a common multipule of 8,10,12, and 30
find the lcm

8=2*2*2
10=2*5
12=2*2*3
30=2*3*5
lcm=2*2*2*3*5=120
times it by 2 to get it between 200 and 500
240
add 3
243 is da number

qaws [65]3 years ago

5 0

Answer:

The required number is 243.

Step-by-step explanation:

Consider the provided numbers.

We need to find a number which leaves a remainder of 3 in each case when divided by 8 ,10,12 and 30.

First find the number which is divisible by 8 ,10,12 and 30,

Find the LCM of the provided numbers as shown below:

8 = 2×2×2

10 = 2×5

12 = 2×2×3

30 = 2×3×5

LCM= 2×2×2×3×5 = 120.

The number 120 is divisible by 8 ,10,12 and 30. But it is not in between 200 and 500.

If we double the number the required number will lie between 200 and 500.

Therefore, the number which is divisible by 8 ,10,12 and 30 and lie between 200 and 500 is 240.

Now, add 3 in 240, as we need a number which leaves a remainder 3.

240+3=243

Thus, the required number is 243.

You might be interested in

What is the domain and limit(s) of f(x)=1/x+3?

SVEN [57.7K]

Find the domain by finding where the function is defined. The range is the set of values that’s correspond with the domain

7 0

2 years ago

Charlie saves $28.35 each month for 6 months. In the seventh month, he only saves $10.70.

Sindrei [870]

Answer:

I think it is $139.30. But I'm not 100% sure

Step-by-step explanation:

4 0

3 years ago

A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the

forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = $\frac{zs}{\sqrt n}$

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = $\frac{2.58\times5.5}{\sqrt n}$

n = (2.58 × 5.5)²

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

5 0

3 years ago

Please help me solve!

Elina [12.6K]

Answer:

Step-by-step explanation:

Comment

There are a number of ways of doing this problem. I don't know which method you are intended to use. One sure way in this case is graphing the equation, I have done this for you. See below. The maximum volume occurs where x = 2

The graph shows that there is a peak at x = 2. That is where the maximum volume is,

Answer

x = 2

6 0

2 years ago

The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c

Sloan [31]

Answer:

$79.38

Step-by-step explanation:

Find the diagram of the question attached

Area of the parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1 * 3.5

Area of the parallelogram = 28.35m²

If the carpet is priced at $2.80 per square meter, then;

1m² = $2.80

28.35m² = x

x = 28.35 * 2.80

x = $79.38

Hence the cost of the carpet is $79.38

7 0

2 years ago