Answer:The smaller box weighs 510grams.
Step-by-step explanation:
Weight of large box = 680 grams
Weight of smaller box = 0.75 times ls larger box
Therefore Weight of Smaller box = 680 X 0.75
=510grams
<span>Assuming the seven rods are arranged such that the 7th rod is surrounded by the other 6, then the strap must have a length equalling 2.5 cm + 6 * 1.8 cm + 2 * pi * (1.8/2)^2 cm which is
13.3 + pi * 1.62 cm or approximately 18.4 cm to 1 decimal place.
</span>
15.7 is already rounded to the nearest 10th.
Let us assume the first number = x
Then the second number = 5x -2
The third number = x + 4
The total number that needs to be divided into three parts is 219
Then we can write the equation as
x + 5x - 2 + x + 4 = 219
7x + 2 = 219
7x = 219 - 2
7x = 217
x = 217/7
= 31
Then
First number = 31
Second number = 5x - 2
= (5 * 31) - 2
= 155 -2
= 153
Third number = x + 4
= 31 + 4
= 35
So the three numbers are 31, 153 and 35.
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
