90 is 25 percent of what number

Answers

Answer 1
Answer:

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 2
Answer: 90/100x=25=>x=9/10x=25=>x=25:9/10=>x=25*10/9=>x=250/9=>x=27,7

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The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.

The length of a flowerbed is 4 times as long as its width. If the width is 3/8 meter, what is the area?

Answers

Answer: A=(9)/(16)\ m^2  (or \ 0.5625\ m^2)

Step-by-step explanation:

The area of a rectangle can be calculated with the following formula:

A=lw

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:

l=4w

We know that the width of the flowerbed is:

w=(3)/(8)\ m

Therefore, substituting the width into  l=4w, we get that the length is:

 l=4w\n\nl=4((3)/(8)\ m)\n\nl=(3)/(2)\ m

Finally we can substitute the width and the lenght into the formula for calculate the area of a rectangle:

A=((3)/(2)\ m)((3)/(8)\ m)\n\nA=(9)/(16)\ m^2

(or \ 0.5625\ m^2)

3/4 = 0.75 (width)
0.75 * 4 = 3 (width * 4 = length)
3 * 075 = 2.25 (width * length = area)

Which of the following statements is true?A) The number 49,836 is divisible by 5, but not by 9.
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.

Answers

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.

D is the correct answer because (a) it’s don’t divisible by 5 (b) it’s not divisible by 9 and 5 (c) it’s not divisible by 9

Solve 4 1/4 - 2 11/20

Answers

4(1)/(4) - 2(11)/(20)
Change them into improper fractions by multiplying the denominator(bottom) by the whole number then adding the numerator
(17)/(4) - (51)/(20)
You must have a common denominator
Multiply (17)/(4) by (5)/(5)(85)/(20)
(85)/(20)-(51)/(20)=(34)/(20)
Simplify by dividing the numerator by the denominator
34÷20=1(14)/(20)1 (7)/(10) reduced
You answer is 1 (7)/(10)
This could be solved as a group of mixed numbers, but I like to work with improper fractions more.
17/4 - 51/20
Next, you need to find a common denominator.
85/20 -51/20
When adding and subtracting fractions, you only work in the numerator, and the denominator stays the same.
34/20
Then, you just simplify.
Improper fraction: 17/10
Mixed number: 1 7/10
Decimal: 1.7

A bag contains 42 cups of dog food. Your dog eats 2 1/3cups of dog food each day. Is there enough food to last 3 weeks?

Answers

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.

The volume of a right square pyramid is 300 cubic units. If the area of the base is 50 square units, what is the height of the pyramid? A. 6 units B. 10 units C. 15 units D. 18 units

Answers

Answer:

E

Step-by-step explanation:

Answer:

The answer is D:18

Step-by-step explanation:

I got it right

David earns $9.60 per hour for a 40-hour week. What was his net pay for a week in which his total deductions were $84.30?

Answers

9.6 times 40 equals 384, minus the deduction the net pay is $299.7
I believe the answer is $299.7, but I am not 100%