Answer:
The real answer is 6
Step-by-step explanation:
Fairly simple. You know the length and the area, but you don't know the width. So your equation looks like this: 30 x ? = 180. But to figure out the width, you change the position of the numbers in the equation like this:
180 ÷ 30 = ?. Then you solve. 180 ÷ 30 = 6. If you want to double check your answer, you can plug in your answer to your original equation, 30 x 6 = 180.
Hope this helps!
Answer:
Answer will be 50
Step-by-step explanation:
Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.
Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,
Five years ago,
Nuri’s age = x-5 years
Sonu’s age = y-5 years
And relation between ages can be given as
Nuri’s age = 3×sonu’s age or
x-5 = 3(y-5)
x-5 = 3y-15
x-3y+10 = 0 ………..(i)
Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.
So, ten years ago,
Nuri’s Age = x+10
Sonu’s Age = y+10
And relation between ages can be written as
x+10 = 2(y+10)
x+10 = 2y+20
x-2y-10 = 0 …………..(ii)
Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.
Value of ‘x’ from equation (i) be
x = 3y-10 ……….(iii)
Putting value of ‘x’ from equation (iii) in equation (ii) we get,
3y-10-2y-10 = 0
y = 20
Now, from equation (iii) value of ’x’ can be given as,
x= 3(20)-10
x = 50
Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
How many books has she read so far? She's been doing this for 7 months, so so far she's read:
7*3=21
how many does she still need to read?
30-21=9
so she needs to read 9 more books. With 3 books a month, this means:
9/3=3
so she needs to read 9 more books, which will take her 3 months!
Answer:
A) 20.82 > 20.55
Step-by-step explanation:
Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.
The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.
So, the meanings of the symbols are ...
> — "is greater than"
< — "is less than"
The only true statement of those listed is ...
20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A
_____
When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.
You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...
20.55 < 20.82
You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.
