All categories

3 years ago

Choose a number between 61 and 107 that is a multiple of 3 , 9 and 12

1 answer:

8 0

Let us simply find the least common multiple of 3, 9, and 12.

3 / 3 9 12
3 / 1 3 4
4 / 1 1 4
/ 1 1 1

LCM = 3 * 3 * 4 = 36

Let us multiply 36 by 2 = 36*2 = 72

So 72 is a multiple of 3, 9 and 12 and it is in between 61 and 107.

You might be interested in

Tyron takes 3/4 hour to paint a wall. His brother takes 1/3 of the time he takes. How long will his brother take to paint 5 simi

Ludmilka [50]

3/4 of an hour = 45 minutes
1/3 of 45 = 15 minutes

15 minutes x 5 walls = 75 minutes = 1 hour and 15 minutes = 1 1/4 hours

4 0

3 years ago

Find the unknown side length. Write your answer in simplest radical form.

Eva8 [605]

Answer: 1. x= 20 units, 2. x= $5\sqrt{3}$ units 3. x= $4\sqrt{2}$ units.

Step-by-step explanation:

In a right triangle,

$Hypotenuse^2= Perpendicular^2+Base^2$ (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

$\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20$

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

$\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$

3. Hypotenuse = 9 , Base = x, Perpendicular =7

$\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}$

5 0

3 years ago

sunil took an education loan for his MBA today. he borrowed 40 lakh from the bank at a rate of interest of 30% per annum. The in

tamaranim1 [39]

Answer:

The amount which Sunil own to the bank after two years is Rs 67 lakh and sixty thousand

Step-by-step explanation:

Given as :

The amount borrowed by Sunil for education loan = Rs 40 lakh

The rate of interest applied compounded annually = 30%

The time period of loan is 2 years

$Amount = Principal \times (1 + \frac{Rate}{100})^{Time}$

Or, $Amount = 4000000 \times (1 + \frac{30}{100})^{2}$

Or, $Amount = 4000000 \times (\frac{130}{100})^{2}$

Or, Amount = 4000000 × ( 1.3 )²

Or, Amount =Rs 6,760,000

Hence The amount which Sunil own to the bank after two years is Rs 67 lakh and sixty thousand Answer

8 0

3 years ago

An auto manufacturer wants their line of cars to have a median gas mileage of 25 miles per gallon or higher. The gas mileage for

sukhopar [10]

They meet their median goal because if you rearrange the numbers from lowest to highest, the median mileage of their line of cars would be 19,23,25,26,29. There are five numbers of car mileages therefore 25 would serve as the median for all five mileages.

3 0

3 years ago

stacy's thermostat is set at 74°F.Which range of numbers contains the opposite of stacy's thermostat setting?

viva [34]

I don't have the ranges of numbers to see which range so clearly it's impossible to answer

8 0

3 years ago