90 is 25 percentage of 360.
To find the number that 90 is 25 % of, we can set up a proportion using the relationship between the percentage and the whole number. Let's represent the unknown number as " x ".
The proportion would be: 90 / x = 25 / 100.
To solve for x, we can cross-multiply and then divide:
90 * 100 = 25 * x
9000 = 25 x
Finally, we divide both sides of the equation by 25:
9000 / 25 = x
Simplifying the division:
360 = x
Therefore, 90 is 25 % of 360.
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Answer: (or )
Step-by-step explanation:
The area of a rectangle can be calculated with the following formula:
Where "l" is the lenght and "w" is the width.
In this case we know that the length of a flowerbed is 4 times as long as its width. This can be expressed as:
We know that the width of the flowerbed is:
Therefore, substituting the width into , we get that the length is:
Finally we can substitute the width and the lenght into the formula for calculate the area of a rectangle:
(or )
B) The number 49,836 is divisible by 5 and 9.
C) The number 49,836 is divisible by 3, 6, and 9.
D) The number 49,836 is divisible by 2, 3, and 6.
Option D
ANSWER:
The number 49,836 is divisible by 2, 3, and 6.
SOLUTION:
Let us check one by one statement.
Consider Option (A)
The number 49,836 is divisible by 5, but not by 9.
Given, 49,836 is divisible by 5.
Divisibility rule for 5 is, last digit of the number should be either 0 or 5.
But here last digit is 6, so given number is not divisible by 5
Hence, this statement is not true.
Consider Option (B)
The number 49,836 is divisible by 5 and 9.
Here again given that, 49,836 is divisible by 5, but we know that it is not divisible by 5.
Hence, this statement is also wrong.
Consider Option (C)
The number 49,836 is divisible by 3, 6, and 9.
Given, 49,836 is divisible by 3.
Divisibility rule for 3 is, sum of the digits must be a multiple of 3.
Now sum of digits = 4+9+8+3+6 = 30.
Since, 30 is an multiple of 3, given number is divisible by 3.
And, 49,836 is divisible by 6.
Divisibility rule for 6 is, the number should be divisible by both 2 and 3.
First let us check divisibility with 2,
Divisibility rule for 2 is, the last digit of the number must any one of 0,2,4,6,8
Here, last digit is 6, so it is divisible by 2
And it is also divisible by 3 as we proved above.
So, the given number is divisible by 6.
And 49,836 is divisible by 9.
Divisibility rule for 9 is, sum of the digits must be a multiple of 9.
Sum of digits = 30 which is not a multiple of 9
So, given number is not divisible by 9
Hence, this statement is wrong.
Consider Option (D)
The number 49,836 is divisible by 2, 3, and 6.
Given, 49,836 is divisible by 2, 3, and 6.
As we have already seen in above case that, 49,836 is divisible by 2, 3 and 6 .Hence statement D is correct.
Answer:
it will last 18 days
Step-by-step explanation:
divide 42 by 2 1/3
2 1/3 = 7/3
42 / 7/3 =
42 * 3/7 =
126/7 = 18
if this isn't enough then here
The number of days it will take the dog to consume the 42 cup of food will be 18 days.
Total cups of dog food = 42 cups
Amount of cups consumed per day =
To obtain the number of days it will take to consume the entire food :
Divide the total amount of food by the amount consumed per day
Hence,
(42 ÷ (7/3))
Take the reciprocal of 7/3 and change the operation sign to multiplication
42 × 3/7 = (42 × 3) / 7 = 126 / 7 = 18 days
Therefore, it will take the dog 18 days to finish up the 42 cups of food.
Answer:
E
Step-by-step explanation:
Answer:
The answer is D:18
Step-by-step explanation:
I got it right